Image restoration - A new explicit approach in filtering and restoration of digital images

Image restoration, in presence of noise, is well known to be an ill-posed inverse problem. Deconvolution of blurry and noisy digital images is a very active research area in image processing. This paper introduces a novel approach composed of two optimized sequential stages of image processing: denoising followed by deconvolution. In the first stage, the denoising filter and the number of iteration are chosen in order to obtain the best value of the usual criteria and the good recovering of the blurry image. We assume that the statistics noise are previously estimated. In the second stage, a deconvolution method is applied on an almost free version of the blurry image. Compared with the classical deconvolution methods, the numerical experiments of proposed method, appear to give significant improvement. The preliminary results of the new cascade approach are very encouraging as well.