Optimal Transport Mixing of Gaussian Texture Models

Aujol, Jean-François; Peyré, Gabriel; Xia, Gui-Song; Ferradans, Sira

Aujol, Jean-François; Peyré, Gabriel; Xia, Gui-Song; Ferradans, Sira (2012), Optimal Transport Mixing of Gaussian Texture Models. https://basepub.dauphine.fr/handle/123456789/8054

Type

Document de travail / Working paper

External document link

http://hal.archives-ouvertes.fr/hal-00662720

Date

2012

Publisher

Université Paris-Dauphine

Published in

Paris

Metadata

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Author(s)

Aujol, Jean-François
Peyré, Gabriel
Xia, Gui-Song
Ferradans, Sira

Abstract (EN)

This paper tackles the problem of mixing color texture models learned from an input dataset. We focus on stationary Gaussian texture models, also known as spot noises. We derive the barycenter and geodesic path between models according to optimal transport. This allows the user to navigate inside the set of texture models, and perform texture synthesis from the obtained interpolated models. Numerical examples on a library of exemplars show the ability of our method to generate arbitrary interpolations among unstructured natural textures.

Subjects / Keywords

texture mixing; texture synthesis; gaussian model; Optimal transport