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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 390, Pages 92–116 (Mi znsl4547)

This article is cited in 7 papers

Free gradient discontinuity and image inpainting

M. Carrieroa, A. Leacia, F. Tomarellib

a Università del Salento, Dipartimento di Matematica ``Ennio De Giorgi'', Italy
b Politecnico di Milano, Dipartimento di Matematica ``Francesco Brioschi'', Italy

Abstract: We introduce and study a formulation of inpainting problem for 2-dimensional images which are locally damaged. This formulation is based on the regularization of the solution of a second order variational problem with Dirichlet boundary condition. A variational approximation algorithm is proposed.

Key words and phrases: calculus of variations, free discontinuity, image segmentation and inpainting.

UDC: 517.972.5

Received: 12.09.2011

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2012, 181:6, 805–819

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