Total Variation Based Oversampling of Noisy Images

Abstract. We propose a variational model which permits to simultaneously de-blur and oversample an image. Indeed, after some recalls on an existing varia-tional model for image oversampling, we show how to modify it in order to prop-erly achieve our two goals. We discuss the modification both under a theoretical point of view (the analysis of the preservation of some structural elements) and the practical point of view of experimental results. We also describe the algorithm used to compute a solution to this model.