shift unitary transform for constructing two-dimensional wavelet filters
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2011
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Abstract
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.
| Reference Key |
li2011journalshift
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|---|---|
| Authors | ;Fei Li;Jianwei Yang |
| Journal | Chemico-biological interactions |
| Year | 2011 |
| DOI |
10.1155/2011/272801
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| URL | |
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