Nonlinear multigrid method for solving the LLT model

Our goal in this paper is to study a nonlinear multigrid method for solving the LLT model. In order to improve the convergence rate of the proposed multigrid method, an improved dual iteration is proposed as its smoother. Furthermore, we give the local Fourier analysis (LFAs) of the Chambolle's dual iterations and a modified smoother for solving the LLT model, respectively. Numerical results illustrate the efficiency of the proposed method and indicate that such a multigrid method is more suitable to deal with large-sized images.