JournalsaihpcVol. 27, No. 5pp. 1291–1331

Exact reconstruction of damaged color images using a total variation model

  • G. Leoni

    Department of Mathematical Sciences, Carnegie-Mellon University, Pittsburgh, PA, USA

  • F. Maggi

    Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, Firenze, Italy

  • M. Morini

    SISSA, Trieste, Italy

  • I. Fonseca

    Department of Mathematical Sciences, Carnegie-Mellon University, Pittsburgh, PA, USA
Exact reconstruction of damaged color images using a total variation model cover
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Abstract

In this paper the reconstruction of damaged piecewice constant color images is studied using an 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.

Cite this article

G. Leoni, F. Maggi, M. Morini, I. Fonseca, Exact reconstruction of damaged color images using a total variation model. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 5, pp. 1291–1331

DOI 10.1016/J.ANIHPC.2010.06.004