M帶小波變換在圖象中的應(yīng)用
APPLICATION OF M-BAND WAVELET TRANSFORM TO IMAGES
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摘要: 小波變換是近年來興起的一種時頻域信號分析理論,是信號分析處理的一種強(qiáng)有力的新工具.本文根據(jù)小波變換的特點(diǎn),在Mallat二帶多分辨分析的基礎(chǔ)上,討論分析了信號的多帶多分辨分析的理論和實(shí)現(xiàn)算法,并將這一理論和算法應(yīng)用于圖象處理,取得了滿意效果.
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關(guān)鍵詞:
- 小波變換; M帶小波變換; 多分辨分析; 邊緣檢測; 零交叉
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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