Abstract:A novel total variational model with strict convexity was proposed to solve the problem that the‘step-casing effect’ and image blurring are always with the existing variational models for multiplicative noise removal.Firstly

the fidelity term of the modified model was derived by applying the maximum likelihood estimate method and the Bayesian formulation.Then

the new total variational model was developed by combining the fidelity term

a fitting term and a hybrid measurement.An alternating minimization algorithm was used to find out the minimizer of such an objective function and proved the convergence for the variational problem.Finally

the numerical experiments showed that the texture details in the denoised images are kept and the ‘step-casing effect’ is suppressed.