Using other efficient methods to solve a convex variational model.An improved method for a variational is proposed.A new variational model which is efficient for multiplicative noise removal is proposed. In this paper, a convex variational model for multiplicative noise removal is studied. Accelerating primal-dual method and proximal linearized alternating direction method are also discussed. An improved primal-dual method is proposed. Algorithms above produce more desired results than primal-dual algorithm when we solve the convex variational model. Inspired by the statistical property of the Gamma multiplicative noise and I-divergence, a modified convex variational model is proposed, for which the uniqueness of solution is also provided. Moreover, the property of the solution is presented. Without inner iterations, primal-dual method is efficient to the modified model, and running time can be reduced dramatically also with good restoration. When we set parameter α to 0, the convex variational model we proposed turns into the model in Steidl and Teuber (2010). By altering α , our model can be used for different noise level.
['Min Liu', 'Qibin Fan']
A modified convex variational model for multiplicative noise removal