A Modified Variational Model for Restoring Blurred Images with Additive Noise and Multiplicative Noise

In this paper, we focus on restoring blurred images with additive noise and multiplicative noise. Based on the statistical property of the Gamma noise, we use a quadratic penalty function technique in order to obtain a component-wise convex model. We employ the alternating minimization method to solve the proposed model and study the convergence of this method. Numerical experiments demonstrate that the proposed model has superior performance in terms of the relative error and the peak signal-to-noise ratio than a state-of-the-art model for restoring blurred images with additive noise and multiplicative noise.