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.
Keywords: Energy minimization, Calibrations, RGB total variation models, Colorization, Inpainting, Image restoration
@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}, pages = {1291--1331}, publisher = {Elsevier}, volume = {27}, number = {5}, year = {2010}, doi = {10.1016/j.anihpc.2010.06.004}, mrnumber = {2683761}, zbl = {1198.49045}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2010.06.004/} }
TY - JOUR AU - Fonseca, I. AU - Leoni, G. AU - Maggi, F. AU - Morini, M. TI - Exact reconstruction of damaged color images using a total variation model JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 1291 EP - 1331 VL - 27 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpc.2010.06.004/ DO - 10.1016/j.anihpc.2010.06.004 LA - en ID - AIHPC_2010__27_5_1291_0 ER -
%0 Journal Article %A Fonseca, I. %A Leoni, G. %A Maggi, F. %A Morini, M. %T Exact reconstruction of damaged color images using a total variation model %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 1291-1331 %V 27 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpc.2010.06.004/ %R 10.1016/j.anihpc.2010.06.004 %G en %F 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, Volume 27 (2010) no. 5, pp. 1291-1331. doi : 10.1016/j.anihpc.2010.06.004. http://archive.numdam.org/articles/10.1016/j.anihpc.2010.06.004/
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