The convolution theorem for two-dimensional continuous wavelet transform

被引：0

作者：

Shi, Zhi ^{[1
]}

Wei, Heng-Dong ^{[1
]}

机构：

[1] Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R China

来源：

WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2 | 2006年

基金：

中国国家自然科学基金;

关键词：

wavelet transform; Fourier transform; convolution; correlation;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, application of two-dimensional continuous wavelet transform to image processes is studied. We first show that the convolution and correlation of two continuous wavelets satisfy the required admissibility and regularity conditions, and then we derive the convolution and correlation theorem for two-dimensional continuous wavelet transform. Finally, we present numerical example showing the usefulness of applying the convolution theorem for the two-dimensional continuous wavelet transform to perform image restoration in the presence of additive noise.

引用

页码：39 / +

页数：2