Wavelet matrices: algorithms and applications

Zhen Zhong Lu; Victor C. Chen; Harry Wechsler

doi:10.1117/12.236035

22 March 1996 Wavelet matrices: algorithms and applications

Zhen Zhong Lu, Victor C. Chen, Harry Wechsler

Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.236035
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

Filter bank and multiresolution analysis have been widely used for wavelets. However, for multi-dimensional signals, the convolution algorithm needed for filter bank and multiresolution analysis is too complicated. In this paper, we propose a basic wavelet matrix, which can have either perfect reconstruction or desired result according to the chosen filter properties. The basic wavelet matrix method can be applied to pyramid wavelet decomposition, visual-based wavelet decomposition, tensor product, wavelet packets and adaptive tree-structured decomposition. Edge effects, the choice of filters are also discussed.

Citation Download Citation

Zhen Zhong Lu, Victor C. Chen, and Harry Wechsler "Wavelet matrices: algorithms and applications", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.236035

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