projections brian curless cse 457 spring 2013 · 2020-05-01 · projections brian curless cse 457...
TRANSCRIPT
![Page 1: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/1.jpg)
1
![Page 2: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/2.jpg)
2
![Page 3: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/3.jpg)
3
P
P
P
![Page 4: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/4.jpg)
4
Pi j
C Pi j
{tk}
![Page 5: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/5.jpg)
5
![Page 6: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/6.jpg)
6
![Page 7: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/7.jpg)
7
n m
m < n.
![Page 8: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/8.jpg)
8
z
x '
y '
1
é
ë
êêê
ù
û
úúú
=
1 0 0 0
0 1 0 0
0 0 0 1
é
ë
êêê
ù
û
úúú
x
y
z
1
é
ë
êêêêê
ù
û
úúúúú
![Page 9: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/9.jpg)
9
zz
i, j
i, j
i, j
A
i, j A
z A i, j
A i, j
z i, j
i, j z
i, j
![Page 10: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/10.jpg)
10
z
![Page 11: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/11.jpg)
11
![Page 12: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/12.jpg)
12
f
x y
x’ y’
d f
![Page 13: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/13.jpg)
13
w
w
x
y
z
w
é
ë
êêêê
ù
û
úúúú
®
x /w
y /w
z /w
1
é
ë
êêêê
ù
û
úúúú
![Page 14: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/14.jpg)
14
w
z
x '
y '
w '
é
ë
êêê
ù
û
úúú
=
1 0 0 0
0 1 0 0
0 0 -1/ f 0
é
ë
êêê
ù
û
úúú
x
y
z
1
é
ë
êêêê
ù
û
úúúú
=
x
y
-z / f
é
ë
êêê
ù
û
úúú
x '
y '
1
é
ë
êêê
ù
û
úúú
=
-f
zx
-f
zy
1
é
ë
êêêêêêê
ù
û
úúúúúúú
![Page 15: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/15.jpg)
15
w
-4 -8 -12
-4 -8 -12
![Page 16: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/16.jpg)
16
-4 -8 -12 -1 -2 -6-10 -20 -24
-4 -8 -12-10 -20 -24 -1 -2 -6
![Page 17: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/17.jpg)
17
![Page 18: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/18.jpg)
18
![Page 19: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/19.jpg)
19
![Page 20: Projections Brian Curless CSE 457 Spring 2013 · 2020-05-01 · Projections Brian Curless CSE 457 Spring 2013 Author: curless Created Date: 4/30/2020 8:51:10 PM](https://reader033.vdocument.in/reader033/viewer/2022053020/5f2adc11689b7a21b00e8819/html5/thumbnails/20.jpg)
20