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22 March 1999 Wavelets: approximation and compression--a review
Martin Vetterli
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Proceedings Volume 3723, Wavelet Applications VI; (1999) https://doi.org/10.1117/12.342945
Event: AeroSense '99, 1999, Orlando, FL, United States
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.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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Martin Vetterli "Wavelets: approximation and compression--a review", Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); https://doi.org/10.1117/12.342945
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KEYWORDS
Wavelets
Quantization
Distortion
Computer programming
Image compression
Algorithms
Binary data
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