方向积分与多元非张量积小波的构造

方向积分与多元非张量积小波的构造

赫泉龄^1,2, 关玉景¹

1. 吉林大学数学学院，长春 130012; 2. 吉林大学行政学院，长春 130012

收稿日期:2003-04-09 修回日期:1900-01-01 出版日期:2004-01-26 发布日期:2004-01-26
通讯作者: 赫泉龄

Construction of multivariate non-tensor product wavelets by

HE Quan-ling^1,2, GUAN Yu-jing¹

1. College of Mathematics, Jilin University, Changchun 130012, China; 2. College of Administration, Jilin University, Changchun 130012, China

Received:2003-04-09 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
Contact: HE Quan-ling

摘要/Abstract

摘要： 以方向积分为工具, 给出一种利用一元小波构造二元非张量积小波的方法, 从而为继承和提高现有张量积小波的优秀性质提供了可能性.

关键词: 多元小波, 非张量积, 方向积分

Abstract: This paper covers a method of constructing bivariate no n-tensor product wavelets by means of direction integral and thus it provid es the probability to inherit and improve the excellent properties of existed te nsor product wavelets, especially, Daubechies' wavelets.

Key words: multivariate wavelet, non-tensor product, direction in tegral

中图分类号:

O241.5

赫泉龄, 关玉景. 方向积分与多元非张量积小波的构造[J]. J4, 2004, 42(01): 11-15.

HE Quan-ling, GUAN Yu-jing. Construction of multivariate non-tensor product wavelets by[J]. J4, 2004, 42(01): 11-15.

[1]	赫泉龄,李瑛,周蕴时. 非张量积双正交小波的构造[J]. J4, 2005, 43(05): 551-560.
[2]	李瑛, 邹溪. 二维非张量积小波用于图像的边缘检测[J]. J4, 2004, 42(04): 483-488.
[3]	李瑛, 周蕴时. 一种二元紧支集非张量积小波的构造方法[J]. J4, 2004, 42(01): 43-49.
[4]	韩力文　伍铁如. 基于积分方法的二元B样条多尺度细分[J]. J4, 2002, 40(04): 358-360.