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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 390, Pages 92–116 (Mi znsl4547)  
This article is cited in 7 scientific papers (total 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
Full-text PDF (415 kB) Citations (7)
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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.
Received: 12.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 181, Issue 6, Pages 805–819
DOI: https://doi.org/10.1007/s10958-012-0716-4
Bibliographic databases:
Document Type: Article
UDC: 517.972.5
Language: English
Citation: M. Carriero, A. Leaci, F. Tomarelli, “Free gradient discontinuity and image inpainting”, Representation theory, dynamical systems, combinatorial methods. Part XX, Zap. Nauchn. Sem. POMI, 390, POMI, St. Petersburg, 2011, 92–116; J. Math. Sci. (N. Y.), 181:6 (2012), 805–819
Citation in format AMSBIB
\Bibitem{CarLeaTom11}
\by M.~Carriero, A.~Leaci, F.~Tomarelli
\paper Free gradient discontinuity and image inpainting
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 390
\pages 92--116
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4547}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 181
\issue 6
\pages 805--819
\crossref{https://doi.org/10.1007/s10958-012-0716-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858751452}
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  • https://www.mathnet.ru/eng/znsl/v390/p92
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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