High-Order Total Bounded Variation Model and Its Fast Algorithm for Poissonian Image Restoration

Jun Zhang, Mingxi Ma, Zhaoming Wu and Chengzhi Deng

Mathematical Problems in Engineering, 2019, vol. 2019, 1-11

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2502731

DOI: 10.1155/2019/2502731

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