A four direction total variation (TV4) model is proposed. An effective fixed point method for solving the model is given. The gradient mode is defined by the forward and backward difference of the gradient of each pixel, which effectively reduces the nonlinear degree of the TV4 model. Experiments show that the model reduces the staircasing effect of TV model to a certain extent, and the convergence speed is faster than that of TV model.

%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2020.03.003