A genetic algorithm for solving a new image restoration model based on selective filtering

Image restoration problem is a very interesting field which preserves its importance until now. This field has some drawbacks, from one hand, it suffers from the high complexity to solve the classical model, on other hand, it causes a deterioration of some parts in the original image that we want to restore. In this context, we propose in this paper a modified model for image restoration based on the addition of a decision variable. This later controls the restoration in each pixel which is a helpful step to preserve areas that had a good quality. To solve the new model we propose the genetic algorithm which is more robust and suitable for this kind of optimization problem.