discriminating shapes: on violins and the latent morphology of grape leaves
TRANSCRIPT
![Page 1: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/1.jpg)
Discriminating shapes
On violins and thelatent morphology of
grape leaves
Dan Chitwood
Donald DanforthPlant Science Center
Seminar at Missouri StateMarch 4 2016
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
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56
7
How to measure shapeChain code
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How to measure shapeChain code
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How to measure shapeChain code
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0 0
How to measure shapeChain code
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0 0 0
How to measure shapeChain code
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0 0 0 7
How to measure shapeChain code
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0 0 0 7 0
How to measure shapeChain code
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0 0 0 7 0 6
How to measure shapeChain code
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12
3
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56
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0 0 0 7 0 6 0
How to measure shapeChain code
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12
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0 0 0 7 0 6 0 6
How to measure shapeChain code
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12
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0 0 0 7 0 6 0 6 6
How to measure shapeChain code
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12
3
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56
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0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
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12
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7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 2: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/2.jpg)
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
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56
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0 0 0
How to measure shapeChain code
0
12
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56
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0 0 0 7
How to measure shapeChain code
0
12
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56
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0 0 0 7 0
How to measure shapeChain code
0
12
3
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0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 3: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/3.jpg)
How to quantify shapeAn example using violins
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 4: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/4.jpg)
Photos from auctiongt9000 instrumentsgt400 violin makersgt400 years of history
Chitwood (2014) Imitation genetic lineages and time influenced the morphological evolution of the violin PLOS ONE
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 5: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/5.jpg)
How to measure shape
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 6: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/6.jpg)
Shape = xn yn
How to measure shapeCoordinates landmarks pseudo-landmarks
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
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7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
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56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 7: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/7.jpg)
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
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How to measure shapeChain code
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How to measure shapeChain code
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0
How to measure shapeChain code
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0 0
How to measure shapeChain code
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0 0 0
How to measure shapeChain code
0
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0 0 0 7
How to measure shapeChain code
0
12
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0 0 0 7 0
How to measure shapeChain code
0
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0 0 0 7 0 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
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0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
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0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
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56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
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56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
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0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 8: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/8.jpg)
How to measure shapeChain code
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 9: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/9.jpg)
How to measure shapeChain code
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 10: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/10.jpg)
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 11: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/11.jpg)
How to measure shapeChain code
0
12
3
4
56
7
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 12: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/12.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 13: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/13.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 14: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/14.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 15: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/15.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 16: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/16.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 17: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/17.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 18: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/18.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 19: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/19.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 20: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/20.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 21: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/21.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 22: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/22.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 23: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/23.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 24: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/24.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 25: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/25.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 26: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/26.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 27: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/27.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 28: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/28.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 29: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/29.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 30: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/30.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 31: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/31.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 32: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/32.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 33: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/33.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 34: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/34.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 35: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/35.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 36: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/36.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 37: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/37.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 38: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/38.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 39: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/39.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 40: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/40.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 41: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/41.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 42: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/42.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 43: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/43.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 44: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/44.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 45: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/45.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 46: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/46.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 47: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/47.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 48: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/48.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 49: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/49.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 50: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/50.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 51: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/51.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 52: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/52.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 53: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/53.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 54: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/54.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 55: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/55.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 56: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/56.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 57: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/57.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 58: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/58.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 59: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/59.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 60: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/60.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 61: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/61.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 62: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/62.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 63: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/63.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 64: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/64.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 65: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/65.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 66: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/66.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 67: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/67.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 68: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/68.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 69: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/69.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 70: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/70.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 71: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/71.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 72: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/72.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 73: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/73.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 74: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/74.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 75: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/75.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 76: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/76.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 77: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/77.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 78: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/78.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 79: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/79.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 80: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/80.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 81: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/81.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 82: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/82.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 83: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/83.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 84: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/84.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 85: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/85.jpg)
How to measure shapeChain code
0
12
3
4
56
7
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 86: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/86.jpg)
How to measure shapeChain code
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape = Chain code is lossless
perfect reconstructionfrom compressed data
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 87: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/87.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 88: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/88.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Graphic Christine Daniloff Graphic Cardiff University
Graphic Workshop Mizzotti
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 89: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/89.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 90: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/90.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
Kuhl and Giardina Computer Graphics amp Image Processing (1982)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 91: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/91.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
0 0 0 7 0 6 0 6 6 66 6 6 6 4 6 6 6 6 60 0 6 6 6 7 6 6 5 66 4 6 4 4 6 4 4 4 44 4 3 4 3 3 3 2 2 22 0 2 2 2 0 0 2 2 22 2 3 2 2 2 2 2 2 02 0 1 0
Shape =
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 92: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/92.jpg)
How to measure shapeChain code + Fourier = Elliptical Fourier Descriptors
a1 a2 a3 hellip an
b1 b2 b3 hellip bn
c1 c2 c3 hellip cn
d1 d2 d3 hellip dn
Shape = Harmonic coefficients
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 93: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/93.jpg)
The morphological evolution of violins
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 94: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/94.jpg)
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 95: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/95.jpg)
The morphological evolution of violinsThe effects of time space amp people on violin shape
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 96: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/96.jpg)
The morphological evolution of violinsLinear Discriminant 1 is especially correlated with time
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 97: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/97.jpg)
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 98: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/98.jpg)
The morphological evolution of violinsWhy does shape correlate with time Violin makers
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 99: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/99.jpg)
The New York Times
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 100: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/100.jpg)
The morphological evolution of violinsInnovators and copiers of shape
Unique
Copierscopied
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 101: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/101.jpg)
The morphological evolution of violinsDoes violin shape have a ldquogeneticrdquo basis
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 102: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/102.jpg)
House GaglianoGiuseppe (Joseph)Gennaro (Januarius)NicoloacuteFerdinando
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 103: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/103.jpg)
House TestoreCarlo GiuseppeCarlo Antonio
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 104: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/104.jpg)
House DeganiGiulioEugenio
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 105: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/105.jpg)
House GuarneriGiuseppe (del Gesuacute)Giuseppe (filius Andrea)Pietro (of Venice)Pietro (of Mantua)Andrea
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 106: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/106.jpg)
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 107: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/107.jpg)
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 108: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/108.jpg)
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 109: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/109.jpg)
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 110: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/110.jpg)
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 111: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/111.jpg)
Landmark-based Procrustes analysisSuperimposed homologous coordinates
Kerschbaumer and Sturmbauer (2011)International Journal of Evol Biol
Translate
Scale
Rotate
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 112: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/112.jpg)
Species effects
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 113: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/113.jpg)
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 114: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/114.jpg)
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 115: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/115.jpg)
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 116: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/116.jpg)
Stephen Hales Vegetable staticks 1727
Developmental stageAllometric expansion
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 117: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/117.jpg)
Chitwood and Sinha 2015
Leaf numberThe heteroblastic series
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 118: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/118.jpg)
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 119: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/119.jpg)
Species developmental stageamp leaf number effects
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 120: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/120.jpg)
Species developmental stageamp leaf number effects
Shootbase
Shoottip
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 121: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/121.jpg)
Species developmental stageamp leaf number effects
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 122: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/122.jpg)
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 123: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/123.jpg)
Species developmental stageamp leaf number effects
S1S2S9S10 S3S4S5S6S7S8
L1 L2
L1
L3 L4 L5 L6 L7 L8 L9 L10
DevelopmentalStage
S1 -gt S10
LeafNumberL1 -gt L10
Shootbase
Shoottip
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 124: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/124.jpg)
Species developmental stageamp leaf number effects
Shootbase
ShoottipLeaf number
Developmental stage
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 125: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/125.jpg)
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 126: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/126.jpg)
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 127: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/127.jpg)
Evolutionary vs developmental pathsin the Vitis leaf morphospace
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 128: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/128.jpg)
Species identity can be predictedindependently from development
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 129: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/129.jpg)
Species identity can be predictedindependently from development
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 130: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/130.jpg)
Developmental stage can be predictedindependently from species identity
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 131: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/131.jpg)
Leaf number can be predictedindependently from species identity
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 132: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/132.jpg)
A morphometrics primer
The evolution of violin shape
Leaves as composites of latentdevelopmental amp evolutionary shapes
Outline
The shape of climate changeInterannual variability in grape leaf shape
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 133: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/133.jpg)
Landmarks sensitive to allometry
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 134: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/134.jpg)
Blade expands faster than vein
Blade expands faster than vein
Blade expands faster than vein
![Page 135: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/135.jpg)
Blade expands faster than vein
Blade expands faster than vein
![Page 136: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/136.jpg)
Blade expands faster than vein
![Page 137: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/137.jpg)
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 138: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/138.jpg)
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 139: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/139.jpg)
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 140: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/140.jpg)
Genetic amp developmental shapes are independent
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 141: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/141.jpg)
Genetic amp developmental shapes are independent
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 142: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/142.jpg)
Discriminating leaves from different yearsSame vines same stages
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 143: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/143.jpg)
Discriminating leaves from different yearsSame vines same stages
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 144: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/144.jpg)
Climate interannual variability201415 was colder amp drier than 201213
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 145: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/145.jpg)
Climate interannual variability201415 was colder amp drier than 201213
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 146: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/146.jpg)
Extant and geologic historyLeaf shape amp size correlate with climate
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 147: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/147.jpg)
Extant and geologic historyLeaf shape amp size correlate with climate
Paleomap scotesecom
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 148: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/148.jpg)
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 149: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/149.jpg)
The future (hopefully)To California wine grapes and rootstocks
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 150: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/150.jpg)
The future (hopefully)To California wine grapes and rootstocks
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank
![Page 151: Discriminating shapes: On violins and the latent morphology of grape leaves](https://reader038.vdocument.in/reader038/viewer/2022110108/587789f41a28abc85f8b7121/html5/thumbnails/151.jpg)
ThanksGrapes
Laura KleinAllison MillerJason LondoSusan RundellQuaneisha WoodfordDarren LiTommy YuJose LopezDanny GreenblattJulie Kang
CaulerpaTomatoesGrafting
Viktoriya ConevaMargaret Frank