非张量积双正交小波的构造

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非张量积双正交小波的构造

赫泉龄^1,2,李瑛²,周蕴时²

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

收稿日期:2004-12-13 修回日期:1900-01-01 出版日期:2005-09-26 发布日期:2005-09-26
通讯作者: 赫泉龄

Construction of Non-tensor Product Biorthogonal Wavelets

HE Quan-ling^1,2,LI Ying²,ZHOU Yun-shi²

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

Received:2004-12-13 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
Contact: HE Quan-ling

摘要/Abstract

摘要： 从已知一元小波出发借助于方向积分，给出了构造多元非张量积双正交小波的理论与方法，其目的是继承一元优秀小波的性质.由于利用方向积分构造的尺度函数及对偶尺度函数都不是Box样条函数，所以文中构造的小波均不是Box样条小波.

关键词: 多元双正交小波, 非张量积, 方向积分

Abstract: This paper provides a theory and a method of constructing multivariable non-tensor product biorthogonal wavelets from existing univariable wavelets via direction integral so that the perfect properties of excellent univariable wavelets can be retained.None of the wavlets constructed in this paper is based on Box spline since neither the scaling function nor the dual scaling function constructed in this paper by direction integral is a Box spline.

Key words: multivariable biorthogonal wavelet, non-tensor product, direction integral

中图分类号:

O241.5

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.

HE Quan-ling,LI Ying,ZHOU Yun-shi. Construction of Non-tensor Product Biorthogonal Wavelets[J]. J4, 2005, 43(05): 551-560.

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