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.
@article{AIHPC_2010__27_5_1291_0, author = {Fonseca, I. and Leoni, G. and Maggi, F. and Morini, M.}, title = {Exact reconstruction of damaged color images using a total variation model}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {27}, year = {2010}, pages = {1291-1331}, doi = {10.1016/j.anihpc.2010.06.004}, mrnumber = {2683761}, zbl = {1198.49045}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_5_1291_0} }
Fonseca, I.; Leoni, G.; Maggi, F.; Morini, M. Exact reconstruction of damaged color images using a total variation model. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) pp. 1291-1331. doi : 10.1016/j.anihpc.2010.06.004. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_5_1291_0/
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