一种去除图像中Cauchy噪声的滤波算法

数学物理学报 ›› 2018, Vol. 38 ›› Issue (4): 823-832.

• 论文 • 上一篇

一种去除图像中Cauchy噪声的滤波算法

汪晓艳¹, 丁义明²

1 武汉大学数学与统计学院武汉 430072;
2 武汉理工大学数学科学研究中心武汉 430070

收稿日期:2016-12-17 修回日期:2017-05-23 出版日期:2018-08-26 发布日期:2018-08-26
作者简介:丁义明,E-mail:dingym@whut.edu.cn
基金资助:
中央高校基本科研业务费专项资金（2017IVA073）

A Filtering Algorithm for Removing Cauchy Noise in Images

Wang Xiaoyan¹, Ding Yiming²

1 Department of Mathematics and Statistics, Wuhan University, Wuhan 430072;
2 Center for Mathematical Sciences, Wuhan University of Technology, Wuhan 430070

Received:2016-12-17 Revised:2017-05-23 Online:2018-08-26 Published:2018-08-26
Supported by:
Supported by the Fundamental Research Funds for the Central Universities (2017IVA073)

摘要/Abstract

摘要： 数字图像在采集、传输等过程中会产生各种噪声，噪声特征不同，处理方法也不同，如何尽可能恢复被强噪声干扰的图像是一个有意义的研究课题，因为传统的滤波算法在强噪声情况下，难以得到理想的结果.该文在中值滤波的基础上，结合局部区域内像素聚类的思想，提出一种对图像边缘进行修正的滤波算法，对三幅被Cauchy噪声干扰的图像处理的结果表明，该算法弥补了中值滤波在细节处理方面的不足，和其它方法相比，在滤除强噪声并保护图像细节和边缘方面有明显提高，是一种有效的去除强噪声的滤波算法.

关键词: 图像去噪, 强噪声, 中值滤波, K-均值聚类

Abstract: Digital images may be disturbed by different noises during acquisition and transfer processes. Treatment methods are varied with the characteristics of noises. It is interesting to develop algorithms to recover the images from strong noises, because the traditional filtering algorithms do not work well in strong noises. A new filtering algorithm combined median filtering with local area pixel clustering is proposed to filter strong Cauchy noises from digital images. Based on the processing of three images with Cauchy noise, it is demonstrated that the algorithm can obtain more details of images than the median filtering. In comparison with other methods, our filtering algorithm is an effective strong noise removal filtering algorithm because it protects image details and the edges significantly.

Key words: Image denoising, Strong noise, Median filtering, K-means clustering

中图分类号:

TP301.6

汪晓艳, 丁义明. 一种去除图像中Cauchy噪声的滤波算法[J]. 数学物理学报, 2018, 38(4): 823-832.

Wang Xiaoyan, Ding Yiming. A Filtering Algorithm for Removing Cauchy Noise in Images[J]. Acta mathematica scientia,Series A, 2018, 38(4): 823-832.

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一种去除图像中Cauchy噪声的滤波算法

A Filtering Algorithm for Removing Cauchy Noise in Images

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