Blind image restoration as a convex optimization problem

Abstract

In this paper, we consider the blind image restoration as a convex constrained problem and we propose to solve this problem by a conditional gradient ethod. Such a method is based on a Thikonov regularization technique and is obtained by an approximation of the blur matrix as a Kronecker product of two matrices given as a sum of a Toeplitz and Hankel matrices. Numerical examples are given to show the efficiency of our proposed method.

Keywords

• image restoration
• kronecker product
• tikhonov regularization
• convex optimization