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Proceedings Paper

Wavelet matrices: algorithms and applications
Author(s): Zhen Zhong Lu; Victor C. Chen; Harry Wechsler
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Paper 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.

Paper Details

Date Published: 22 March 1996
PDF: 10 pages
Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); doi: 10.1117/12.236035
Show Author Affiliations
Zhen Zhong Lu, George Mason Univ. (United States)
Victor C. Chen, Naval Research Lab. (United States)
Harry Wechsler, George Mason Univ. (United States)

Published in SPIE Proceedings Vol. 2762:
Wavelet Applications III
Harold H. Szu, Editor(s)

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