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dc.contributor.authorAujol, Jean-François
dc.contributor.authorPeyré, Gabriel
dc.contributor.authorFerradans, Sira
dc.contributor.authorXia, Gui-Song
dc.date.accessioned2013-04-23T12:30:03Z
dc.date.available2013-04-23T12:30:03Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11241
dc.language.isoenen
dc.subjectoptimal transporten
dc.subjectdynamic texturesen
dc.subjectGaussian processen
dc.subjecttexture mixingen
dc.subjecttexture synthesisen
dc.subjectTexture analysisen
dc.subject.ddc621.3en
dc.titleSynthesizing and Mixing Stationary Gaussian Texture Modelsen
dc.typeArticle accepté pour publication ou publié
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 paper addresses the problem of modeling textures with Gaussian processes, focusing on color stationary textures that can be either static or dynamic. We detail two classes of Gaussian processes parameterized by a small number of compactly supported linear filters, the so-called textons. The first class extends the spot noise (SN) texture model to the dynamical setting. We estimate the space-time texton to fit a translation-invariant covariance from an input exemplar. The second class is a specialization of the auto-regressive (AR) dynamic texture method to the setting of space and time stationary textures. This allows one to parameterize the covariance with only a few spatial textons. The simplicity of these models allows us to tackle a more complex problem, texture mixing which, in our case, amounts to interpolate between Gaussian models. We use optimal transport to derive geodesic paths and barycenters between the models learned from an input data set. This allows the user to navigate inside the set of texture models and perform texture synthesis from each new interpolated model. Numerical results on a library of exemplars show the ability of our method to generate arbitrary interpolations among unstructured natural textures. Moreover, experiments on a database of stationary textures show that the methods, despite their simplicity, provide state of the art results on stationary dynamical texture synthesis and mixing.en
dc.relation.isversionofjnlnameSIAM Journal on Imaging Sciences
dc.relation.isversionofjnlvol7
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages476-508
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/130918010
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00816342en
dc.relation.isversionofjnlpublisherSIAM
dc.subject.ddclabelTraitement du signalen
dc.description.submittednonen
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