signals preprocessing edges

7/24/2019 Signals Preprocessing Edges

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Signals PreprocessingSignals Preprocessing

1. Signals contrast enhancement1. Signals contrast enhancement

2. S2. Signals edge detectionignals edge detection


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SIGNALS EDGE DETECTIONSIGNALS EDGE DETECTION

IntroductionIntroduction

1. Operation of edge detection1. Operation of edge detection

2. Edge detection by gradient amplitude2. Edge detection by gradient amplitudecalculationcalculation

3. Roberts operator3. Roberts operator

.. 3!3 mas"s edge detectors3!3 mas"s edge detectors#. Edge detection by con$olution#. Edge detection by con$olution

%. Edge detection by bo!car and pyramid%. Edge detection by bo!car and pyramidoperatoroperator

&.&. 'inear Edge (rispening

). Parallel edge detectorParallel edge detector

(onclusion(onclusion

*ome +or"*ome +or"

'iterature'iterature


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Operation of edge detectionOperation of edge detection

,-/"0 2 input signal,-/"0 2 input signal

145/ "146145/ "146

7-/"0 f8,-/"09 edged signal7-/"0 f8,-/"09 edged signal

Edge the border bet+een signalsEdge the border bet+een signalselements of different intensityelements of different intensity


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Operation of edge detectionOperation of edge detection


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Kinds of edgesKinds of edges


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Edge detection by gradientEdge detection by gradient

amplitude calculationamplitude calculation

:he spatial gradient amplitude is;


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! pi!els fragment! pi!els fragment

,-/"0 ,-


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:he method of discrete gradient generation

7R-/"0 ,-/"0 = ,-/"


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"obert#s operator"obert#s operator


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,-/"0 ,-


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"obert#s operator"obert#s operator


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$!$ mas%s edge detectors$!$ mas%s edge detectors


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$!$ mas%s edge detectors$!$ mas%s edge detectors


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7R-/"0>-?2


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$!$ mas%s operators$!$ mas%s operators

61 = Pre+itt operator61 = Pre+itt operator

62 = Sobel operator62 = Sobel operator62621B21B2 = ,rei=(hen operator= ,rei=(hen operator


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$!$ mas%s operators$!$ mas%s operators


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Edge detection by con&olutionEdge detection by con&olution

7-/"0 ,-/"0C*-/"0

DD,-/"0*-


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$!$ 'as%$!$ 'as%

*-/"0

*-=1/"=10 *-/"=10 *-


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Laplassian generation of the edgesLaplassian generation of the edges


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Edge detection by con&olutionEdge detection by con&olution

7R-/"0 ,-/"0C*R-/"0

7*-/"0 ,-/"0C*(-/"0


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Images (it) noiseImages (it) noise


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Edge detection by bo!carEdge detection by bo!car

operatoroperator


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Truncated pyramid operatorTruncated pyramid operator


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Linear Edge Crispening


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Linear Edge Crispening


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*arallel edge detector*arallel edge detector

Roberts operatorRoberts operator


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,-/"0 ,-


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+ormation of t)e matri!es+ormation of t)e matri!es

,-/"0,-/"0

,-


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*arallel edge detector*arallel edge detector,*atent Nr- ./01//2 G31G4533 6 7-*er8u,*atent Nr- ./01//2 G31G4533 6 7-*er8u

2

1%

1

13

#

3

12

1#

%

&

F

1

) 1&

1) 11

1F

1@


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I'*9LSE "ES*ONSE A""A:S

+O" $ ; $ EDGE

O*E"ATO"S


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ConclusionConclusion1. Operation of edge detection1. Operation of edge detection

2. Edge detection by gradient amplitude2. Edge detection by gradient amplitudecalculationcalculation

3. Roberts operator3. Roberts operator

.. 3!3 mas"s edge detectors3!3 mas"s edge detectors

#. Edge detection by con$olution#. Edge detection by con$olution%. 'aplassian generation of the edges%. 'aplassian generation of the edges

&. Edge detection by bo!car operator&. Edge detection by bo!car operator

). :runcated pyramid operator). :runcated pyramid operator

F.F. 'inear Edge (rispening1@. Parallel edge detector1@. Parallel edge detector


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LiteratureLiteratureS. G. Gaseghi. ?d$anced igital Signal Processing and HoiseS. G. Gaseghi. ?d$anced igital Signal Processing and HoiseReduction.Reduction. 5ohn illy5ohn illyJSons/ 'td/ 2@@2.JSons/ 'td/ 2@@2.

http;BBdsp=boo".narod.ruBadsnr.htmhttp;BBdsp=boo".narod.ruBadsnr.htm

S.K. 6uo/ L.*. 'ee. Real :ime igital Signal Processing.S.K. 6uo/ L.*. 'ee. Real :ime igital Signal Processing. 5ohn5ohnileyileyJSons/ 'td/ 2@@1.JSons/ 'td/ 2@@1.

illiam 6. Pratt. igital Image Processing.illiam 6. Pratt. igital Image Processing. 5ohn iley5ohn ileyJSons/ 'td/JSons/ 'td/

2@@1.2@@1.

MNQNT U. VQWTXYZ T[Y[T\Y ]QY^TX.MNQNT U. VQWTXYZ T[Y[T\Y ]QY^TX.M_[.;_`M_[.;_`/ 2@@%/ 2@@%

Optical Engineering 5ournalOptical Engineering 5ournal

+++.spie.org+++.spie.org

+++.else$ier.com+++.else$ier.com

+++.ieee.com+++.ieee.com
http://www.spie.org/http://www.spie.org/http://www.elsevier.com/http://www.elsevier.com/http://www.ieee.com/http://www.ieee.com/http://www.ieee.com/http://www.elsevier.com/http://www.spie.org/

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