方向扩散方程修正BM3D图像去噪改进算法

doi:10.3969/j.issn.1001-2400.2017.05.018

西安电子科技大学学报

方向扩散方程修正BM3D图像去噪改进算法

冯象初;李晓晖;王卫卫;贾西西

(西安电子科技大学数学与统计学院，陕西西安 710071)

收稿日期:2016-11-15 出版日期:2017-10-20 发布日期:2017-11-29
通讯作者: 李晓晖(1991-)，女，西安电子科技大学硕士研究生，E-mail: xd_07102028@126.com
作者简介:冯象初(1962-)，男，教授，E-mail: xcfeng@mail.xidian.edu.cn．
基金资助:
国家自然科学基金资助项目(61271294, 61472303)；中央高校基本科研业务费专项资金资助项目(NSIY21)

Modified BM3D algorithm for image denoising using the directed diffusion equation

FENG Xiangchu;LI Xiaohui;WANG Weiwei;JIA Xixi

(School of Mathematics and Statistics, Xidian Univ., Xi'an 710071, China)

Received:2016-11-15 Online:2017-10-20 Published:2017-11-29

摘要/Abstract

摘要：

为更好地保护图像的边缘、细节等信息，建立了一种利用方向扩散方程进行修正的三维块匹配滤波图像去噪改进算法．该算法首先利用小波分解将三维块匹配滤波算法去噪结果分解成互相垂直的3个子带．同时为加快扩散速度，避免边缘很快被模糊，在方向扩散方程中加入各向异性扩散算子和扩散系数，将去噪结果的高频系数小于阈值子带向噪声图对应的子带进行扩散．最后利用扩散所得新的估计值代替去噪结果原有子带得到最终去噪结果．实验结果表明，该算法在去除噪声以及保护图像边缘、细节等方面的性能都要优于原始三维块匹配滤波算法的．

关键词: 图像去噪, 三维块匹配, 小波分解, 各向异性扩散

Abstract:

In order to preserve the edges and details of the image better, a modified block-matching and 3D filtering algorithm based on the directed diffusion is proposed. First, the block-matching and 3D filtering result is divided into three perpendicular subbands by using the wavelet decomposition. Second, by adding the diffusion operator and diffusion coefficients to the directed diffusion equation, the diffusion speed can be accelerated and edges can not be blurred quickly. Then we diffuse the subband of the high-frequency, of which the wavelet coefficients are less than the threshold to the corresponding subband of the noisy image to get a new estimate. Lastly, by replacing the corresponding subband of the block-matching and 3D filtering estimated image with the new one, we obtain the improved denoising result. Experimental results show that the improved algorithm achieves better performance than the original block-matching and 3D filtering algorithm in terms of both removing noise and preserving the edges and details of the image.

Key words: image denoising, block-matching and three dimensional filtering, wavelet decomposition, anisotropic diffusion

冯象初;李晓晖;王卫卫;贾西西. 方向扩散方程修正BM3D图像去噪改进算法[J]. 西安电子科技大学学报, 2017, 44(5): 102-108.

FENG Xiangchu;LI Xiaohui;WANG Weiwei;JIA Xixi. Modified BM3D algorithm for image denoising using the directed diffusion equation[J]. Journal of Xidian University, 2017, 44(5): 102-108.

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方向扩散方程修正BM3D图像去噪改进算法

Modified BM3D algorithm for image denoising using the directed diffusion equation

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