Wavelet analysis is a novel research field in the world. To study the new theory, methods and applications of wavelets is of great theoretical significance and practical value.
小波分析是国际上新兴的一个前沿研究领域，研究小波的新理论、新方法以及新应用具有重要的理论意义和实用价值。
That provides not only the theoretic bases for discussing the image Spaces of other wavelets transforms, but also a new method to investigate the wavelet analysis theory further.
这不仅为其它小波变换像空间的讨论提供了理论基础，也为小波分析理论的进一步研究提供了新的途径。
Finally, it gave an image de-noising algorithm of coherence enhancing diffusion, which used wavelet coefficients to estimate the image edge according to the wavelets time-frequent analysis function.
针对相干增强扩散计算扩散矩阵较慢的缺点，提出了一种用小波系数估计图像边缘方向的相干增强扩散图像降噪算法。
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