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dc.contributor.authorOudet, Edouard
dc.contributor.authorPeyré, Gabriel
dc.contributor.authorPapadakis, Nicolas
dc.date.accessioned2013-04-23T12:07:11Z
dc.date.available2013-04-23T12:07:11Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11237
dc.language.isoenen
dc.subjectcomputational fluid dynamicen
dc.subjectstaggered griden
dc.subjectOptimal transporten
dc.subject.ddc621.3en
dc.titleOptimal Transport with Proximal Splittingen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherLaboratoire Jean Kuntzmann (LJK) http://ljk.imag.fr CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology;France
dc.contributor.editoruniversityotherInstitut de Mathématiques de Bordeaux (IMB) http://www.math.u-bordeaux.fr/IMB/ CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II;France
dc.description.abstractenThis article reviews the use of first order convex optimization schemes to solve the discretized dynamic optimal transport problem, initially proposed by Benamou and Brenier. We develop a staggered grid discretization that is well adapted to the computation of the $L^2$ optimal transport geodesic between distributions defined on a uniform spatial grid. We show how proximal splitting schemes can be used to solve the resulting large scale convex optimization problem. A specific instantiation of this method on a centered grid corresponds to the initial algorithm developed by Benamou and Brenier. We also show how more general cost functions can be taken into account and how to extend the method to perform optimal transport on a Riemannian manifold.en
dc.relation.isversionofjnlnameSIAM Journal on Imaging Sciences
dc.relation.isversionofjnlvol7
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages212-238
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/130920058
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00816211en
dc.relation.isversionofjnlpublisherSIAM
dc.subject.ddclabelTraitement du signalen
dc.description.submittednonen


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