A New Fast Algorithm for Constrained Four-Directional Total Variation Image Denoising Problem

作者:Liao Fan; Coatrieux Jean Louis; Wu Jiasong; Shu Huazhong*
来源:Mathematical Problems in Engineering, 2015, 2015: 815132.
DOI:10.1155/2015/815132

摘要

A new four-directional total variation (4-TV) model, applicable to isotropic and anisotropic TV functions, is proposed for image denoising. A dual based fast gradient projection algorithm for the constrained 4-TV image denoising problem is also reported which combines the well-known gradient projection and the fast gradient projection methods. Experimental results show that this model provides in most cases a better signal to noise ratio when compared to previous models like the reference TV, the total generalized variation, and the nonlocal total variation.