To preserve the edge,multiplicative noise removal models based on the total variation regularization have been widely studied, but\nthey suffer fromthe staircase effect. In this paper, to preserve the edge and reduce the staircase effect,we develop a hybrid variational\nmodel based on the variable splitting method formultiplicative noise removal; the new model is a strictly convex objective function\nwhich contains the total variation regularization and amodified regularization term.We use the linear alternative direction method\nto find the minimal solution and also give the convergence proof of the proposed algorithm. Experimental results verify that the\nproposed model can obtain the better results for removing the multiplicative noise compared with the recent method.
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