一种新的小波域维纳滤波图像去噪算法
DOI ：１０．７４９５／j ．issn ．１００９‐３４８６．２０１５．０６．０１４
一种新的小波域维纳滤波图像去噪算法
收稿日期：２０１５‐０１‐２５；修回日期：２０１５‐０５‐０４。
基金项目：国家部委基金资助项目（９１４０A ０９０３１２１３JB １１００１）。
作者简介：刘红亮（１９８６－），男，博士生，主要研究方向为图像处理及光电导航。
通信作者：刘红亮，lhl ＿hjgc ＠１６３．com 。刘红亮１，陈维义１，许中胜２
（１．海军工程大学兵器工程系，武汉４３００３３；２．海军某军事代表室，武汉４３００７３）
摘 要：针对传统小波去噪和维纳滤波存在的不足，提出了一种新的小波域维纳滤波图像去噪算法。首先，对含噪图像进行小波分解，依靠对角细节子带小波系数对噪声方差进行估计；然后，引入噪声方差修正因子，并根据不同子带小波系数的统计特性，在低频子带和高频子带分别选择合适的维纳滤波模板尺寸，使维纳滤波在对小波系数进行滤波处理时具备了更加精确的噪声方差估计和更加合理的滤波模板尺寸；最后，对维纳滤波处理后的小波系数进行小波重构，获得了去噪后的图像。试验结果表明：该算法兼具小波去噪的多分辨率分析特性和维纳滤波的自适应特性，能有效提高去噪后图像峰值信噪比，去噪效果优于小波去噪和维纳滤波。
关键词：图像去噪；小波去噪；维纳滤波；噪声方差估计；滤波模板尺寸
中图分类号：T P ３１７．４ 文献标志码：A 文章编号：１００９－３４８６（２０１５）０６－００６３－０５
A new image denoising algorithm based on wavelet domain Wiener filtering
LIU Hong ‐liang １，CHEN Wei ‐y i １，XU Zhong ‐sheng
２
（１．Dept ．of Weaponry Engineering ，Naval Univ ．of Engineering ，Wuhan ４３００３３，China ；
２．Navy Representative Office ，Wuhan ４３００７３，China ）Abstract ：To overcome the shortcomings of traditional wavelet denoising and Wiener filtering ，a new image denoising algorithm based on wavelet domain Wiener filtering is proposed ．Firstly ，the noisy image is decomposed by wavelet transform and the estimated noise variance is made through the wave ‐let coefficients of diagonal detail subband ．T hen the noise variance modified factor is introduced ；p roper template sizes of Wiener filter are selected for low frequency subbands and high frequency sub ‐bands concerning the statistic characteristic of wavelet coefficients ；therefore ，wavelet coefficients are filtered by Wiener filtering with more accurate noise variance estimation and a more reasonable filter template size ．Finally the denoising image is obtained through the reconstruction of wavelet coeffi ‐cients filtered by Wiener filtering ．Experimental results show that the new algorithm has the advanta ‐g es of multi ‐resolution analysis characteristics of wavelet denoising and adaptive characteristics of Wiener filtering and that the denoising performance in sense of peak signal ‐to ‐noise ratio （PSNR ）is superior to wavelet denoising and Wiener filtering ．Key words ：image denoising ；wavelet denoising ；Wiener filtering ；noise variance estimation ；filter template size
小波域维纳滤波是图像去噪领域中的一个研
究热点，它是小波变换和维纳滤波两种技术的有 第２７卷 第６期 ２０１５年１２月 海军工程大学学报
JOURNAL OF NAVAL UNIVERSITY OF ENGINEERING Vol ．２７ No ．６ Dec ．２０１５