Split Bregman method for the modified lot model in image denoising

In this paper a split Bregman iteration is proposed for the modified LOT model in image denoising. We first use the split Bregman method to solve the ROF model which can be seen as an approximate form of the first step of the original LOT model. Then we use a modified split Bregman method to fit the second step of the LOT model and give the convergence of the proposed split Bregman method. Several numerical examples are arranged to show the effectiveness of the proposed method.