| 1. | Antialiasing and Resampling |
2. | What is a Pixel? |
| 3. | More on Samples |
4. | Picturing an Image as a 2D Function |
| 5. | Sampling Grid |
6. | Sampling an Image |
| 7. | The Big Question |
8. | Convolution |
| 9. | Sampling in the Frequency Domain |
10. | Reconstruction |
| 11. | Aliasing |
11a. | Sampling Frequency |
| 12. | Sampling Theorem |
12a. | Sampling Example |
| 12b. | Aliasing Effects |
12c. | Aliasing Effects |
| 12d. | Aliasing Effects |
12e. | Pre-Filtering |
| 12f. | Anti-Aliased Lines |
12g. | Anti-Aliased Lines |
| 12h. | Anti-Aliased Line Algorithm (uses floating point) |
12i. | AntiAliased Line Demonstration |
| 12j. | Post-Filtering |
13. | Reconstruction Revisited |
| 14. | Gaussian Reconstruction |
15. | Gaussian Verdict |
| 16. | Nearest-Neighbor Reconstruction |
17. | Nearest-Neighbor Example |
| 18. | Problems with Reconstruction Filters |
19. | Is there an Ideal Reconstruction Filter? |
| 20. | Problems with a Sinc Reconstruction Filter |
21. | Lessons from the Sinc Function |
| 22. | Approximations with Finite Extent |
23. | Bilinear Example |
| 24. | Larger Extents |
25. | Spline Constraints |
| 26. | Bicubic Derivation |
27. | Bicubic Example |
| 28. | Next Time |
