Talk: Groebner Bases and Wavelet Design (Ivan Selesnick)

Abstract

1. Title
2. Introduction/Applications
3. On Groebner Bases
4. Iterated Filter Banks
5. Scaling Functions
6. Orthogonality Conditions
7. Polynomial Approximation
8. Daubechies Design Equations (1)
9. Daubechies Design Equations (2)
10. Daubechies Design Equations (3)
11. Daubechies Design Equations (4)
12. Daubechies-4 Scaling Filter
13. The Shape
14. Multiwavelets (1)
15. Multiwavelets (2)
16. Multiwavelets Design Conditions
17. Multiwavelets Design Example (1)
18. Multiwavelets Design Example (2)
19. Multiwavelets Design Example (3)
20. Multiwavelets Design Example (4)
21. Multiwavelets Design Example (5)
22. One of the Minimal Length Solutions
23. Wavelet Frames
24. Wavelet Frame Conditions
25. Polynomial Approximation
26. Frame Design Example (1)
27. Frame Design Example (2)
28. Frame Design Example (3)
29. Frame Design Example (4)
30. Frame Design Example (5)
31. Questions
32. Conclusions