A weighted gradient model with total variation regularization for multi-focus image fusion

Abstract

In this paper, we consider the problem of the multi-focus image fusion and propose a novel weighted gradient model with the total variation regularization. The existence and uniqueness of the solution for the proposed model is established. We employ the semi-proximal alternating direction method of multipliers (sPADMM) algorithm to find the minimizer of the proposed model. We also show the convergence and convergence rate of the sPADMM algorithm under suitable conditions. Numerical results are given to demonstrate the effectiveness and competitiveness of the proposed method.