Disocclusion by joint interpolation of vector fields and gray levels

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• dc.contributor.author Ballester, Coloma
• dc.contributor.author Caselles, Vicente
• dc.contributor.author Verdera, Joan
• dc.date.accessioned 2021-03-12T07:15:46Z
• dc.date.available 2021-03-12T07:15:46Z
• dc.date.issued 2006
• dc.description.abstract In this paper we study a variational approach for filling in regions of missing data in two-dimensional and three-dimensional digital images. Applications of this technique include the restoration of old photographs and removal of superimposed text like dates, subtitles, or publicity, or the zooming of images. The approach presented here, initially introduced in [IEEE Trans. Image Process., 10 (2001), pp. 1200--1211] is based on a joint interpolation of the image gray levels and gradient/isophotes directions, smoothly extending the isophote lines into the holes of missing data. The process underlying this approach can be considered as an interpretation of the Gestaltist's principle of good continuation. We study the existence of minimizers of our functional and its approximation by minima of smoother functionals. Then we present the numerical algorithm used to minimize it and display some numerical experiments.en
• dc.description.sponsorship This work was supported by the Departament d’Universitats, Recerca i Societat de la Informació de la Generalitat de Catalunya and by PNPGC project, reference BFM2000-0962-C02-01.
• dc.format.mimetype application/pdf
• dc.identifier.citation Ballester C, Castelles V, Verdera J. Disocclusion by joint interpolation of vector fields and gray levels. Multiscale Model Simul. 2006 Jul 26;2(1):80-123. DOI: 10.1137/S1540345903422458
• dc.identifier.doi http://dx.doi.org/10.1137/S1540345903422458
• dc.identifier.issn 1540-3459
• dc.identifier.uri http://hdl.handle.net/10230/46740
• dc.language.iso eng
• dc.publisher SIAM (Society for Industrial and Applied Mathematics)
• dc.relation.ispartof Multiscale Modeling & Simulation. 2006 Jul 26;2(1):80-123
• dc.rights Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. First Published in Multiscale Modeling & Simulation in volume 22, number 1, 20003, published by the Society for Industrial and Applied Mathematics (SIAM).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Disocclusionen
• dc.subject.keyword Elasticaen
• dc.subject.keyword Bounded variation functionsen
• dc.subject.keyword Interpolationen
• dc.subject.keyword Variational approachen
• dc.title Disocclusion by joint interpolation of vector fields and gray levelsen
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion