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Optical Engineering

Four-bank compactly supported bisymmetric orthonormal wavelets bases
Author(s): Guoqiu Wang
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Paper Abstract

We define a new concept of bisymmetry for multibank wavelets. By extending the theory of multiresolution analysis to multibank wavelets, this work also focuses on the study of four-bank compactly supported bisymmetric orthonormal wavelets. Investigations have shown that there is a class of four-bank compactly supported orthonormal wavelets with bisymmetry, in which any wavelet system can be determined uniquely by its low-pass filter. Thus, the least restrictive conditions are needed for forming a wavelet, so that the free degrees can be reserved for application requirements. Also, such wavelet classes can be parameterized. Therefore, the optimal four-bank wavelets with bisymmetry can be found in this class. Some concrete examples with high vanishing moments are also given. These wavelets can avoid prefiltering, process the boundary conveniently, and enjoy the highly efficient computations in application.

Paper Details

Date Published: 1 October 2004
PDF: 7 pages
Opt. Eng. 43(10) doi: 10.1117/1.1788692
Published in: Optical Engineering Volume 43, Issue 10
Show Author Affiliations
Guoqiu Wang, Hunan Normal Univ. (China)

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