Calculus of Variations and Geometric Measure Theory
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M. Carriero - A. Leaci - F. Tomarelli

Segmentation and Inpainting of Color Images

created by tomarelli1 on 05 Oct 2017


Published Paper

Inserted: 5 oct 2017

Journal: Journal of Convex Analysis
Volume: 25
Number: 2
Year: 2018
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

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