彩色纹理图像恢复的非局部TV模型  

Non-Local TV models for restoration of color texture images

作　　者：端金鸣[1] 潘振宽[1] 台雪成[2] 

机构地区：[1]青岛大学信息工程学院,青岛266071 [2]卑尔根大学数学研究所

出　　处：《中国图象图形学报》2013年第7期753-760,共8页Journal of Image and Graphics

基　　金：国家自然科学基金项目(61170106)

摘　　要：基于局部算子不同形式的TV(total variation)模型用于彩色图像的噪声去除时往往存在边缘模糊、纹理模糊、阶梯效应、Mosaic效应等问题。因此,将传统局部的Tikhonov模型、TV模型、MTV(multi-channel total variation)模型、CTV(color total variation)模型推广到基于非局部算子概念的NL-CT(non-local color Tikhonov)模型、NL-LTV(non-local layered total variation)模型、NL-MTV(non-local multi-channel total variation)模型、NL-CTV(non-local colortotal variation)模型,并通过引入辅助变量和Bregman迭代参数设计了相应的快速Split Bregman算法。实验结果表明,所提出的非局部TV模型都很好地解决了局部模型中出现的问题,在纹理、边缘、光滑度等特征保持方面取得了良好特性,其中NL-CTV处理效果最好,但是计算效率较低。The traditional total variation （TV） models based on local operators for color image denoising has in some prob- lems, such as smeared edges, smeared textures, staircase effects, and mosaic effects. In this paper, the Tikhonov model, TV model, multi-channel total variation （MTV） model, color total variation （CTV） model based on local operators are ex- tended to the non-local color Tikhonov （NL-CT） model, non-local layered total variation （NL-LTV） model, non-local multi-channel total variation （NL-MTV） model, non-local color total variation （NL-CTV） model via non-local operators for color texture image denoising. Using auxiliary variables and the Bregman iterartive parameters, we design their fast Split-Bregman algorithms. Experiments show that all of them solve the above mentioned effects and demonstrate exce- llent properties of edge preserving, texture preserving, and smoothness preserving. NL-CTV has the best result, but its compu- tational efficiency is low.

关 键 词：彩色纹理图像 图像恢复 非局部TV模型 SPLIT Bregman算法 特征保持 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]