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
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
收藏
页码:644 / +
页数:2
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