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dc.contributor.authorBernot, Marc
dc.contributor.authorRabin, Julien
dc.contributor.authorPeyré, Gabriel
dc.contributor.authorDelon, Julie
dc.date.accessioned2010-04-29T14:51:43Z
dc.date.available2010-04-29T14:51:43Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/4053
dc.language.isoenen
dc.subjectimage processingen
dc.subjectstochastic gradienten
dc.subjectWasserstein barycenteren
dc.subjectoptimal transporten
dc.subjecttexture synthesisen
dc.subjecttexture mixingen
dc.subject.ddc621.3en
dc.titleWasserstein Barycenter and its Application to Texture Mixingen
dc.typeCommunication / Conférence
dc.description.abstractenThis paper proposes a new definition of the averaging of discrete probability distributions as a barycenter over the Wasserstein space. Replacing the Wasserstein original metric by a sliced approximation over 1D distributions allows us to use a fast stochastic gradient descent algorithm. This new notion of barycenter of probabilities is likely to find applications in computer vision where one wants to average features defined as distributions. We show an application to texture synthesis and mixing, where a texture is characterized by the distribution of the response to a multiscale oriented filter bank. This leads to a simple way to navigate over a convex domain of color textures.en
dc.identifier.citationpages435-446en
dc.relation.ispartofseriestitleLecture Notes in Computer Science
dc.relation.ispartofseriesnumber6667
dc.relation.ispartoftitleScale Space and Variational Methods in Computer Vision Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers
dc.relation.ispartofeditorBruckstein, Alfred M.
dc.relation.ispartofeditorTer Haar Romeny, Bart M.
dc.relation.ispartofeditorBronstein, Alexander M.
dc.relation.ispartofeditorBronstein, Michael M.
dc.relation.ispartofpublnameSpringer
dc.relation.ispartofpublcityBerlin
dc.relation.ispartofdate2012
dc.relation.ispartofpages798
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/978-3-642-24785-9
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00476064/fr/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelTraitement du signalen
dc.relation.ispartofisbn978-3-642-24784-2
dc.relation.conftitleThird International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2011)
dc.relation.confdate2011-05
dc.relation.confcityEin-Gedi
dc.relation.confcountryIsraël
dc.identifier.doihttp://dx.doi.org/10.1007/978-3-642-24785-9_37


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