Shift Unitary Transform for Constructing Two-Dimensional Wavelet Filters

被引:0
作者
Li, Fei [2 ]
Yang, Jianwei [1 ]
机构
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
[2] Beijing Technol & Business Univ, Sch Econ, Beijing 100048, Peoples R China
基金
美国国家科学基金会;
关键词
SUPPORTED ORTHONORMAL WAVELETS; BASES; MOMENTS; PARAMETRIZATION; COMPRESSION;
D O I
10.1155/2011/272801
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:19
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