一种小波变换像空间的再生核

Reproducing Kernel in the Image Space of a Wavelet Transform

摘要:

利用一个常用的调制高斯函数作为小波母函数,得到小波变换像空间的再生核函数的具体表达式和小波变换的等距恒等式,并分析了小波变换像空间的结构,为一般的小波变换的像空间的研究提供了理论基础。

Abstract:

In this paper, a familiar modulation Gaussian function was introduced as a wavelet generating function. The concrete expression of the reproducing kernel function in the image space of this wavelet transform was shown. The isometric identity of the wavelet transform was obtained. The structure of the image space of the wavelet transform was analyzed. These provide the theoretic basis for discussing the image space of general wavelet transform.