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小波图象去噪综述

谢杰成1, 张大力1, 徐文立1(清华大学自动化系,北京 100084)

摘 要
小波图象去噪已经成为目前图象去噪的主要方法之一。在对目前小波去噪文献进行理解和综合的基础上,首先通过对小波去噪问题的描述,揭示了小波去噪的数学背景和滤波特性;接着分别阐述了目前常用的3类小波去噪方法,并从小波去噪中常用的小波系数模型、各种小波变换的使用、小波去噪和图象压缩之间的联系,不同噪声场合下的小波去噪等几个方面,对小波图象去噪进行了综述,最后,基于对小波去噪问题的理解,提出了对小波去噪方法的一些展望。
关键词
Overview on Wavelet Image Denoising

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Abstract
Wavelet image denoising has been well acknowledged as an important method of image denoising. Based on many literatures of wavelet denoising, this paper attempts to make an overview of wavelet image denoising. First, it describes wavelet denoising in two ways, one from its mathematics background, the other from filter theory of signal processing. Then this paper classifies wavelet image denoising methods into three classes that includes shrinkage based method, projection based method, and correlation based method, and describes them respectively. Considering the important role that coefficient model plays in a wavelet based denoising scheme, this paper also discusses three kinds of wavelet coefficient model, including intra level model, inter level model, and hybrid model that combine the first two together. Usage of simultaneous wavelet transformations, the relationship between wavelet image denoising and wavelet image compression and wavelet denoising under different noise models are also covered here in order to give an overview as complete as possible. At the end, the future trend of wavelet image denoising is pointed out, though, in personal opinion.
Keywords

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