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