Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Segmentation and Inpainting of Color Images

created by tomarelli1 on 05 Oct 2017
modified by leaci on 26 Jan 2018


Published Paper

Inserted: 5 oct 2017
Last Updated: 26 jan 2018

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