中文摘要：

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 color total 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。

英文摘要：

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.