计算机应用

• 图像处理 • 上一篇    下一篇

基于双变量收缩函数的局域自适应图像去噪

刘鑫, 贺振华, 黄德济   

  1. 成都理工大学信息工程学院
  • 收稿日期:2005-11-21 修回日期:2006-02-21 发布日期:2006-05-01 出版日期:2006-05-01
  • 通讯作者: 刘鑫

Locally adaptive image denoising based on bivariate shrinkage function

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  1. 成都理工大学信息工程学院
  • Received:2005-11-21 Revised:2006-02-21 Online:2006-05-01 Published:2006-05-01
  • Contact: Xin Liu

摘要: 由于图像小波系数存在很大的层间相关性,引入双变量概率分布模型,基于贝叶斯估计理论,得到了相应的非线性阈值函数(双变量收缩函数);基于层内局域方差估计,利用该收缩函数得到一种局域自适应的图像去噪算法。在实验中,将该算法分别应用到实值离散小波变换域和双树复数小波变换域,并和隐马尔科夫模型的去噪方法做了比较分析。实验表明,复数小波变换的局域自适应收缩图像去噪算法去噪效果最好。

关键词: 图像去噪, 双变量收缩, 统计模型, 小波变换

Abstract: To improve the performance of image-denoising methods, a locally adaptive denoising algorithm was presented. The new algorithm assumed the statistical dependence among wavelet coefficients. First, a bivariate probability distribution model was introduced to model the statistics of wavelet coefficients, and corresponding nonlinear threshold function (bivariate shrinkage function) was derived from the model using the Bayesian estimation theory. Secondly, using locally variance estimation, a locally adaptive image-denoising algorithm was presented. Also this algorithm could be applied to the complex wavelet domain. Experimental results and comparision analysis are given to illustrate the effectiveness of this denoising algorithm.

Key words: image denoising, bivariate shrinkage, statistical modeling, wavelet transform