Open Access
2011 Shift Unitary Transform for Constructing Two-Dimensional Wavelet Filters
Fei Li, Jianwei Yang
J. Appl. Math. 2011: 1-19 (2011). DOI: 10.1155/2011/272801


Due to the difficulty for constructing two-dimensional wavelet filters, the commonly used wavelet filters are tensor-product of one-dimensional wavelet filters. In some applications, more perfect reconstruction filters should be provided. In this paper, we introduce a transformation which is referred to as Shift Unitary Transform (SUT) of Conjugate Quadrature Filter (CQF). In terms of this transformation, we propose a parametrization method for constructing two-dimensional orthogonal wavelet filters. It is proved that tensor-product wavelet filters are only special cases of this parametrization method. To show this, we introduce the SUT of one-dimensional CQF and present a complete parametrization of one-dimensional wavelet system. As a result, more ways are provided to randomly generate two-dimensional perfect reconstruction filters.


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Fei Li. Jianwei Yang. "Shift Unitary Transform for Constructing Two-Dimensional Wavelet Filters." J. Appl. Math. 2011 1 - 19, 2011.


Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1226.42032
MathSciNet: MR2830757
Digital Object Identifier: 10.1155/2011/272801

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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