On Solving Image Deblurring Problem via Nash Equilibrium

Abstract

In this article, we present a blind deconvolution method for image restoration involving an adaptive point spread function. The method is introduced by applying concurrent optimization via simulating an image deblurring game. We assign the optimal image deblurring as a Nash equilibrium image deblurring game between three players based on three criteria associated with each player. The aim of the three players is to minimize their objective functions which are image intensity, a point spread function and contour respectively. Under some suitable conditions, we have shown the existence and uniqueness of an optimal solution of the Nash equilibrium image deblurring game. Finally, we provide some numerical examples to demonstrate the computational performance of the proposed method in comparison with some state of the art methods in the