A New Fast Algorithm for Constrained Four-Directional Total Variation Image Denoising Problem. (23rd February 2015)

• Record Type: Journal Article
• Authors: Liao, Fan; Coatrieux, Jean Louis; Wu, Jiasong; Shu, Huazhong
• Other Names: Zhou Jian Guo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-02-23
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/815132
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.