Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 09-CNA-19 Exact Reconstruction of Damaged Color Images Using a Total Variation Model I. Fonseca Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15235 U.S.A. fonseca@andrew.cmu.edu G. Leoni Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15235 U.S.A. giovanni@andrew.cmu.edu F. Maggi Dipartimento di Matematica U. Dini'' Università di Firenze, Firenze, Italy maggi@math.unifi.it M. Morini SISSA, Trieste, Italy morini@sissa.it Abstract: In this paper the reconstruction of damaged piecewice constant color images is studied using a RGB total variation based model for colorization/inpainting. In particular, it is shown that when color is known in a uniformly distributed region, then reconstruction is possible with maximal fidelity. Get the paper in its entirety as Back to CNA Publications