A Novel Model for Removing the Mixture Noise and Blur of the Image

Abstract

In order to deal with the problem of the mixture noise removing and deblurring, a new model based on partial differential equations is proposed in this paper. We analyze some basic properties of the model, such as the existence and uniqueness of the solution of the model. Furthermore, we use an alternating minimization algorithm to find out the minimum of the proposed model. The experimental results show that the proposed model can restrain the stair-case and edge blurring effectively while removing the mixture noise and blur of the image.