Wasserstein Barycenter and its Application to Texture Mixing

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Wasserstein Barycenter and its Application to Texture Mixing

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Title: Wasserstein Barycenter and its Application to Texture Mixing
Author: Bernot, Marc; Rabin, Julien; Peyré, Gabriel; Delon, Julie
Type: Communication / Conférence
Date de création: 2012
Pages: 435-446
Résumé en anglais: This 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.
Titre de la collection: Lecture Notes in Computer Science
Numéro de la collection: 6667
Lien vers un document non conservé dans cette base: http://hal.archives-ouvertes.fr/hal-00476064/fr/
Indexation documentaire: Traitement du signal
Sujet(s): image processing; stochastic gradient; Wasserstein barycenter; optimal transport; texture synthesis; texture mixing
URL de la notice: http://basepub.dauphine.fr/xmlui/handle/123456789/4053
Réf version publiée: http://dx.doi.org/10.1007/978-3-642-24785-9_37
Titre du colloque: Third International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2011)
Date du colloque: 05-2011
Ville du colloque: Ein-Gedi
Pays du colloque: Israël
PUBLIE DANS
Titre de l'ouvrage: Scale Space and Variational Methods in Computer Vision Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29 – June 2, 2011, Revised Selected Papers
Author: Bruckstein, Alfred M.; Ter Haar Romeny, Bart M.; Bronstein, Alexander M.; Bronstein, Michael M.
Editeur: Springer
Ville d'édition: Berlin
Parution: 2012
Nombre de pages: 798
ISBN: 978-3-642-24784-2
URL de l'ouvrage: http://dx.doi.org/10.1007/978-3-642-24785-9

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