antialiasing - department of computer science and ...olano/class/435-08-2/antialiasing.pdfno...
TRANSCRIPT
![Page 1: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/1.jpg)
1
Antialiasing
![Page 2: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/2.jpg)
2
Visual artifacts - Jagged lines and edges - High frequencies appearing as low - Small objects missed - Texture distortions - Strobing and popping - Backward movement
![Page 3: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/3.jpg)
3
![Page 4: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/4.jpg)
4
![Page 5: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/5.jpg)
5
![Page 6: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/6.jpg)
6
![Page 7: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/7.jpg)
7
![Page 8: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/8.jpg)
8
Two basic stages - Sampling - Reconstruction
Assuming discrete sampling
![Page 9: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/9.jpg)
9
![Page 10: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/10.jpg)
10
![Page 11: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/11.jpg)
11
![Page 12: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/12.jpg)
12
![Page 13: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/13.jpg)
13
![Page 14: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/14.jpg)
14
![Page 15: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/15.jpg)
15
![Page 16: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/16.jpg)
16
![Page 17: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/17.jpg)
17
Shannon's sampling theory (1D): - A band limited signal f(t) with cut off frequency wF
may be perfectly reconstructed from its samples f(nT0) if 2π/T0 >= 2wF
- wF == Nyquist limit Alternatively:
- A signal can be reconstructed exactly from samples only if the highest frequency is less than half the sampling rate
![Page 18: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/18.jpg)
18
Two samples of the same sine wave
![Page 19: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/19.jpg)
19
Regular supersampling Jittered supersampling Adaptive supersampling Stochastic sampling
![Page 20: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/20.jpg)
20
![Page 21: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/21.jpg)
21
Reconstruction: recreate a continuous signal from a set of samples
Tasks of reconstruction filter - Remove extraneous replicas of signal spectrum - Pass the original signal base unchanged
![Page 22: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/22.jpg)
22 Box Filter Tent Filter
![Page 23: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/23.jpg)
23
B-Spline Filter
Mitchell-Netravali Filter
Gaussian Filter
Catmull-Rom Filter
![Page 24: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/24.jpg)
24
![Page 25: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/25.jpg)
25
![Page 26: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/26.jpg)
26
![Page 27: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/27.jpg)
27
![Page 28: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/28.jpg)
28
![Page 29: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/29.jpg)
29
![Page 30: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/30.jpg)
30
![Page 31: antialiasing - Department of Computer Science and ...olano/class/435-08-2/antialiasing.pdfNo antialiasing . Prefiltering . Jittered Regular Taking 9 sarnples per pixel . tent tent*](https://reader036.vdocument.in/reader036/viewer/2022081323/5f0823847e708231d42087d9/html5/thumbnails/31.jpg)
31