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Journal of Convex Analysis 25 (2018), No. 2, [final page numbers not yet available]
Copyright Heldermann Verlag 2018



Segmentation and Inpainting of Color Images

Michele Carriero
Dip. di Matematica e Fisica, UniversitÓ del Salento, Via Arnesano, 73100 Lecce, Italia
michele.carriero@unisalento.it

Antonio Leaci
Dip. di Matematica e Fisica, UniversitÓ del Salento, Via Arnesano, 73100 Lecce, Italia
antonio.leaci@unisalento.it

Franco Tomarelli
Dip. di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italia
franco.tomarelli@polimi.it



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.

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