Geodesic
Segmentation and Inpainting of Color Images
Journal of convex analysis, Tome 25 (2018) no. 2, pp. 435-458
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We introduce and study a variational model for segmentation and inpainting of 2-dimensional color images. The model consists in the minimization of a functional dependent on second derivatives, free discontinuity and free gradient discontinuity. The competitors are piecewise C2 vector-valued functions, whose components represent the intensity of RGB channels.
Classification : 49J45, 49K20
Mots-clés : Calculus of variations, free discontinuity problems, regularity, inpainting, image segmentation, Gamma convergence 
@article{JCA_2018_25_2_JCA_2018_25_2_a6,
     author = {M. Carriero and A. Leaci and F. Tomarelli},
     title = {Segmentation and {Inpainting} of {Color} {Images}},
     journal = {Journal of convex analysis},
     pages = {435--458},
     year = {2018},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a6/}
}
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M. Carriero; A. Leaci; F. Tomarelli. Segmentation and Inpainting of Color Images. Journal of convex analysis, Tome 25 (2018) no. 2, pp. 435-458. http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a6/