REPRODUCING KERNEL SPACE BASED ON GABOR WAVELET TRANSFORM

被引：0

作者：

Deng, Cai-Xia ^{[1
]}

Tang, Yuan-Yan ^{[1
]}

Fu, Zuo-Xian ^{[1
]}

机构：

[1] Harbin Univ Sci & Technol, Appl Sci Coll, Harbin 150080, Peoples R China

来源：

PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2 | 2008年

基金：

中国国家自然科学基金;

关键词：

Reproducing Kernel; Reproducing Kernel Hilbert Space; Gabor Wavelet; Wavelet Transform;

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, the expression of the reproducing kernel function of image space of Gabor wavelet transform is shown based on the image space of the continuous wavelet transform as a reproducing kernel Hilbert space, and when scale factor and translation factor are fixed, a concrete characterization of image space of Gabor wavelet transform is given by the theory of reproducing kernel function. We obtain the isometrical identities and inversion formulae, which provides a new method for us to study the theory of image space of the general wavelet transform.

引用

页码：644 / +

页数：2

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