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

Abstract EN

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.