Anisotropic 2-D Wavelet Packets and Rectangular Tiling: Theory and Algorithms

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5207, Issue 2, 2003, Pages 619-630

  Xu, Dan ^a   Do, Minh N ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Anisotropic wavelet packets; Best bases; Dynamic programming; Rectangular tiling

Indexed keywords

ALGORITHMS; ANISOTROPY; CHANNEL CAPACITY; DYNAMIC PROGRAMMING; ITERATIVE METHODS; SIGNAL FILTERING AND PREDICTION; TREES (MATHEMATICS); WAVELET TRANSFORMS;

ANISOTROPIC WAVELET PACKETS; BEST BASES; RECTANGULAR TILING;

SIGNAL PROCESSING;

EID: 1242263471     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.506601     Document Type: Conference Paper

References (9)

1. R. R. Coifman, Y. Meyer, and M. V. Wickerhauser, "Wavelet analysis and signal processing," in Wavelets and Their Applications, M. B. Ruskai, G. Beylkin, R. R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, and L. Raphael, eds., pp. 153-178, Jones and Bartlett, Boston, 1992.
2. M. Vetterli and J. Kovačević, Wavelets and Subband Coding. Prentice-Hall, 1995.
3. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, 2nd ed., 1999.
4. E. J. Candès and D. L. Donoho, "Curvelets - a suprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting, A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, (Saint-Malo), 1999.
5. M. N. Do and M. Vetterli, "Contourlets," in Beyond Wavelets, G. V. Weiland, ed., Academic Press, New York, 2003. to appear, http://www.ifp.uiuc.edu/̃minhdo/publications.
6. R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," 38, pp. 713-718, March 1992.
7. K. Ramchandran and M. Vetterli, "Best wavelet packet bases in a rate-distortion sense," 2, pp. 160-175, April 1993.
8. I. Pollak, M. N. Do, and C. A. Bouman, "Optimal tilings and best basis search in large dictionaries," in Proc. of Thirty-Seventh Annual Asilomar Conference on Signals, Systems, and Computers, (Pacific Grove. CA), 2003. to appear.
9. C. Herley, J. Kovačević, K. Ramchandran, and M. Vetterli, "Tilings of the time-frequency planexonstruction of arbitrary orthogonal bases and fast tiling algorithms," IEEE Trans. Signal Proc. 41, pp. 3341-3359, Dec. 1993.