Synthesizing and Mixing Stationary Gaussian Texture Models
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | XIA, Gui-Song | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | FERRADANS, Sira | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | PEYRÉ, Gabriel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AUJOL, Jean-François | |
| dc.date.accessioned | 2024-04-04T02:20:42Z | |
| dc.date.available | 2024-04-04T02:20:42Z | |
| dc.date.created | 2013-04-20 | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189515 | |
| dc.description.abstractEn | This 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. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.subject.en | optimal transport | |
| dc.subject.en | dynamic textures | |
| dc.subject.en | Gaussian process | |
| dc.subject.en | texture mixing | |
| dc.subject.en | Texture analysis | |
| dc.subject.en | texture synthesis | |
| dc.title.en | Synthesizing and Mixing Stationary Gaussian Texture Models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1137/130918010 | |
| dc.subject.hal | Informatique [cs]/Traitement du signal et de l'image | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | |
| dc.description.sponsorshipEurope | Sparsity, Image and Geometry to Model Adaptively Visual Processings | |
| bordeaux.journal | SIAM Journal on Imaging Sciences | |
| bordeaux.page | 476-508 | |
| bordeaux.volume | 7 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00816342 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00816342v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Imaging%20Sciences&rft.date=2014&rft.volume=7&rft.issue=1&rft.spage=476-508&rft.epage=476-508&rft.au=XIA,%20Gui-Song&FERRADANS,%20Sira&PEYR%C3%89,%20Gabriel&AUJOL,%20Jean-Fran%C3%A7ois&rft.genre=article |
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