Abstract
In this paper, we propose an efficient combined algorithm of split Bregman method, algebraic multigrid (AMG) method and Krylov acceleration method for deblurring and denoising. The split Bregman method is used to convert nonlinear TV model into three linear systems. But the linear system with blur operator is difficult to solve. We add an auxiliary linear stabilizing term to the linear system, then apply an AMG method and Krylov acceleration method to solve the new linear system. Various numerical experiments and comparisons demonstrate that the combined algorithm is efficient, fast, comparable to several existing algorithms, and robust over a wide range of parameters.
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