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.