Published Paper

Inserted: 5 oct 2017
Last Updated: 24 mar 2024

Journal: Journal of Convex Analysis
Volume: 25
Number: 2
Pages: 435-458
Year: 2018
Links: WEBpage of Journal of Convex Analysis

Abstract:

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