Duan Jinming, Pan Zhenkuan, Tai Xuecheng. Non-Local TV models for restoration of color texture images[J]. Journal of Image and Graphics, 2013, 18(7): 753-760. DOI: 10.11834/jig.20130717.
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
The traditional total variation (TV) models based on local operators for color image denoising has in some problems
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 extended 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 excellent properties of edge preserving
texture preserving
and smoothness preserving. NL-CTV has the best result