Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments

被引：46

作者：

Chen, DR

Han, B

Riemenschneider, SD

机构：

[1] Beijing Univ Aeronaut & Astronaut, Dept Appl Math, Beijing 100083, Peoples R China

[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

[3] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2000年 / 13卷 / 02期

关键词：

biorthogonal wavelets; approximation order; accuracy; sum rules; vanishing moments; refinement mask; dual mask; refinable function; CBC algorithm;

D O I：

10.1023/A:1018950126225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct multivariate biorthogonal wavelets with any general dilation matrix and arbitrary order of vanishing moments. Examples are provided to illustrate the general theory and the advantages of the algorithms.

引用

页码：131 / 165

页数：35

共 32 条

[1] Local decomposition of refinable spaces and wavelets [J].