M带小波变换在图象中的应用
APPLICATION OF M-BAND WAVELET TRANSFORM TO IMAGES
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摘要: 小波变换是近年来兴起的一种时频域信号分析理论,是信号分析处理的一种强有力的新工具.本文根据小波变换的特点,在Mallat二带多分辨分析的基础上,讨论分析了信号的多带多分辨分析的理论和实现算法,并将这一理论和算法应用于图象处理,取得了满意效果.Abstract: Wavelet transform, especially the multiresolution representation, is a very effective tool for analyzing the information contents of a signal. Based on Mallat s multiresolution analysis, this paper discusses the theoretical analysis of M-band multiresolution signal decomposition, proposes a new algorithm for realizing the theory, studies the properties of an operator which approximates a signal at a given resolution, and applies the theory to images. The results show that, first, images can be decomposed and reconstructed by M-band multiresolution representation; second, the edges of image can be detected by M-band wavelet transform.
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