Edge preserving restoration of astrophysical images

This paper deals with edge-preserving restoration. It is well known that quadratic regularization results in smoothing edges and ringing artefacts. The goal of this paper is to present edge preserving deterministic regularization for image restoration. We first focus on the design of edge preserving regularizing functions and their properties about edge modeling. Then we propose a deterministic algorithm in order to mimimize the non quadratic criterion. Finally some results on restoration of the Hubble space telescope images are shown.