Inserted: 5 oct 2017
Last Updated: 26 jan 2018
Journal: Journal of Convex Analysis
Links: WEBpage of Journal of Convex Analysis
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 piece-wise C2 vector-valued functions, whose components represent the intensity of RGB channels.
Keywords: calculus of variations, regularity, free discontinuity problems, Gamma convergence, Image segmentation, Inpainting