a尺度的二维四向小波问题

吉林大学学报(理学版)

a尺度的二维四向小波问题

库福立¹, 王刚¹, 库媛²

1. 新疆师范大学数学科学学院, 乌鲁木齐 830054; 2. 吉林大学材料科学与工程学院, 长春 130012

收稿日期:2012-10-15 出版日期:2013-09-26 发布日期:2013-09-17
通讯作者: WANG Gang E-mail:angelayy@sina.com

TwoDimensional Wavelet with Tectonic Scale a and FourDirection

KU Fuli¹, WANG Gang¹, KU Yuan²

1. School of Mathematical Science, Xinjiang Normal University, Urmuqi 830054, China;2. College of Materials Science and Engineering, Jilin University, Changchun 130012, China

Received:2012-10-15 Online:2013-09-26 Published:2013-09-17
Contact: 王刚 E-mail:angelayy@sina.com

摘要/Abstract

摘要：

以双向小波理论为基础, 通过使用张量积的方法构造尺度为a的二维四向小波, 并给出了二维小波的多分辨分析及二维小波的正交条件和双正交条件, 得到了二维四向小波包及其相关性质.

关键词: 二维四向小波, 双正交, 多分辨分析, 两尺度方程, 加细面具

Abstract:

On the basis of twodirection wavelet theory, a fourdirection wavelet with tectonic scale a was constructed by tensor product. Moreover, MRA, orthogonal and biorthogonal conditions of this twodimensional wavelet were given, and the relevant properties of this twodimensional wavelet
were shown in the conclusion.

Key words: fourdirection twodimensional to wavelet, biorthogonal, multiresolution analysis, two scaling equations, refine mask

中图分类号:

O174.2

库福立1, 王刚1, 库媛2. a尺度的二维四向小波问题[J]. 吉林大学学报(理学版), 2013, 51(05): 763-782.

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