Wavelets, approximation, and compression

IEEE Signal Processing Magazine

Volumn 18, Issue 5, 2001, Pages 59-73

  Vetterli, Martin ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DATA COMPRESSION; EIGENVALUES AND EIGENFUNCTIONS; FIR FILTERS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; LOW PASS FILTERS; POLYNOMIALS; SIGNAL FILTERING AND PREDICTION; TWO DIMENSIONAL; WAVELET TRANSFORMS;

CONTINUOUS-TIME POLYNOMIALS; DISCRETE-TIME POLYNOMIALS; LINEAR APPROXIMATION; NONLINEAR APPROXIMATION; ORTHOGONAL FILTER BANKS;

SIGNAL PROCESSING;

EID: 85032751948     PISSN: 10535888     EISSN: None     Source Type: Journal    
DOI: 10.1109/79.952805     Document Type: Article

References (45)

1. A filter bank for the directional decomposition of images: Theory and design
2. Ridgelets: Theory and applications
3. Ridgelets: A key to higher-dimensional intermittency?
4. Curvelets-a surprisingly effective nonadaptive representation for objects with edges
5. Tree approximation and optimal encoding
6. Entropy-based algorithms for best basis selection
7. Wavelet-based signal processing using hidden Markov models
8. Orthonormal bases of compactly supported wavelets
9. Image compression through wavelet transform coding
10. Orthonormal finite ridgelet transform for image compression
11. Pyramidal directional filter banks and curvelets
12. Data compression and harmonic analysis
13. Wavelet transform footprints: Catching singularities for compression and denoising
14. Footprints and edgeprints for image denoising and compression
15. Theoretical foundations of transform coding
16. Transform coding with backward adaptive updates
17. A theory for multiresolution signal decomposition: The wavelet representation
18. Singularity detection and processing with wavelets
19. Matching pursuits with time-frequency dictionaries
20. Filters for distortion-free two-band multirate filter banks
21. Optimal trellis-based buffered compression and fast approximations
22. Image compression with geometric wavelets
23. Optimal segmentation techniques for piecewise stationary signals
24. Approximation and compression of piecewise-smooth functions
25. Ueber die bestimmung von funktionen durch ihre integralwerte längst gewiser mannigfaltigkeiten
26. Best wavelet packet bases in a rate-distortion sense
27. A new, fast, and efficient image codec based on set partitioning in hierarchical trees
28. A mathematical theory of communication
29. Embedded image coding using zerotrees of wavelet coefficients
30. The JPEG 2000 still image compression standard
31. Exact reconstruction for tree-structured subband coders
32. The curvelet transform for image denoising
33. Wavelet-based image compression
34. Oligoquantization in low-rate lossy source coding