基于仿射不变块相似度量的BM3D图像去噪算法  

BM3D Image Denoising Algorithm Based on Affine Invariant Patch Similarity Measure

作　　者：徐华平 贾小宁 XU Huaping;JIA Xiaoning(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学数学与统计学院,长春130022

出　　处：《吉林大学学报（理学版）》2022年第1期109-118,共10页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12171054).

摘　　要：针对使用规则的正方形块去噪可能产生伪影,或图像受到仿射形变时使用正方形块寻找到的相似块数量将会减少的问题,提出一种基于仿射不变块相似度量的BM3D(block matching and 3D filtering)图像去噪算法.首先,在块匹配过程中,使用椭圆块代替规则的正方形块进行块匹配分组,形成三维椭圆块组;其次,使用仿射不变块相似度量计算两个椭圆块之间的距离判断其相似度,该度量通过自动调整块大小与形状进行块比较,能寻找到更多的相似块,将其用于图像去噪.实验结果表明,该算法可有效提高去噪效果,获得良好的视觉效果,与原始BM3D算法相比,具有较好的峰值信噪比.Aiming at the problems that using regular square patches for denoising might cause artifacts,or when the image suffered from affine deformation,the number of similar patches found by square patches would be reduced,we proposed a BM3D(block matching and 3D filtering)image denoising algorithm based on an affine invariant patch similarity measure.Firstly,in the process of block matching,elliptical patches were used to replace regular square patches for grouping by block matching to form three-dimensional elliptical patch groups.Secondly,an affine invariant patch similarity measure was used to calculate the distance between two elliptical patches and judge their similarity.This measure performed a patch comparison by automatically adjusting the size and shape of the patches,and more similar patches could be found and used for image denoising.Experimental results show that the algorithm can effectively improve the denoising effect and obtain good visual effects.Compared with the original BM3D algorithm,this algorithm has better peak signal-to-noise ratio.

关 键 词：图像去噪 结构张量 仿射不变块相似度量 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]