Construction of a Class of New Trivariate Compactly Supported Orthogonal Wavelets

XU Yingxiang; GUAN Lütai; XU Weizhi

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Construction of a Class of New Trivariate Compactly Supported Orthogonal Wavelets

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- Construction of a Class of New Trivariate Compactly Supported Orthogonal Wavelets
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 49, Issue 5, Pages: 15-20(2010)
- 作者机构：
  
  中山大学科学计算与计算机应用系,广东,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010，
  
  Published Online：25 September 2010，
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XU Yingxiang, GUAN Lütai, XU Weizhi. Construction of a Class of New Trivariate Compactly Supported Orthogonal Wavelets. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):15-20(2010)
DOI：

XU Yingxiang, GUAN Lütai, XU Weizhi. Construction of a Class of New Trivariate Compactly Supported Orthogonal Wavelets. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):15-20(2010) DOI：

摘要

研究了一类新三元紧支撑正交小波的构造方法，由此构造方法可得到一类新的三元张量积(可分的)小波和三元非张量积(不可分)小波，而且构造过程较为简单。在给出详细的构造方法的同时，讨论了这类新的三元小波所具有的消失矩性质，最后给出了一些具体的例子。

Abstract

A method of construction of trivariate compactly supported orthogonal wavelets is studied. By the constructing method

some new trivariate separable and trivariate nonseparable wavelets can be obtained and the method is very simple. Giving the detail of the constructing method

the vanishing moments properties of this new trivariate wavelets are also discussed. Some numerical examples are given.

关键词

紧支撑非张量积正交小波尺度函数共轭滤波器

Keywords

compactly supportednontensor productorthogonal waveletscaling functionconjugate filter

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Related Author

JIANG Li

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Related Institution

Department of Mathematics and Computational Science, Sun Yatsen University

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