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Proceedings Paper • Open Access

Wavelets: approximation and compression--a review
Author(s): Martin Vetterli

Paper Abstract

In this paper, we briefly review the connection between subband coding, wavelet approximation and general compression problems. Wavelet or subband coding is successful in compression applications partly because of the good approximation properties of wavelets. First, we revisit some rate-distortion bounds for wavelet approximation of piecewise smooth functions. We contrast these results with rate-distortion bounds achievable using oracle based methods. We indicate that such bounds are achievable in practice using dynamic programming. Finally, we conclude with an outlook on open questions in the area of compression and representations.

Paper Details

Date Published: 22 March 1999
PDF: 4 pages
Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); doi: 10.1117/12.342945
Show Author Affiliations
Martin Vetterli, Swiss Federal Institute of Technology and Univ. of California/Berkeley (Switzerland)

Published in SPIE Proceedings Vol. 3723:
Wavelet Applications VI
Harold H. Szu, Editor(s)

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