The Combination Model and Algorithm for Image Denoising

In this paper, we propose an efficient combination model of the second-order ROF model and a simple fourth-order partial differential equations (PDE) for image denoising. The split Bregman method is used to convert the nonlinear combination model into linear systems in the outer iteration, and the relaxation iterative method is applied to solve the linear systems in the inner iteration. Furthermore, Krylov subspace acceleration method is adopted to improve convergence in the outer iteration. At the same time, we prove that the model is strictly convex and exists a unique global minimizer. We have also conducted numerical experiments. The results show that our model can reduce blocky effects and our algorithm is efficient and robust.