6.837 LECTURE 5
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
  Lecture 5   Outline   6.837 Fall '01