High-Order Total Bounded Variation Model and Its Fast Algorithm for Poissonian Image Restoration. (11th February 2019)

• Record Type: Journal Article
• Authors: Zhang, Jun; Ma, Mingxi; Wu, Zhaoming; Deng, Chengzhi
• Other Names: Han Weimin Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-02-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/2502731
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, a new model for image restoration under Poisson noise based on a high-order total bounded variation is proposed. Existence and uniqueness of its solution are proved. To find the global optimal solution of our strongly convex model, a split Bregman algorithm is introduced. Furthermore, a rigorous convergence theory of the proposed algorithm is established. Experimental results are provided to demonstrate the effectiveness and efficiency of the proposed method over the classic total bounded variation-based model.