hal-00415779, version 2
Locally Parallel Texture Modeling
SIAM Journal on Imaging Sciences 4, 1 (2011) 413-447
Résumé : This article presents a new adaptive framework for locally parallel texture modeling. Oscillating patterns are modeled with functionals that constrain the local Fourier decomposition of the texture. We first introduce a texture functional which is a weighted Hilbert norm. The weights on the local Fourier atoms are optimized to match the local orientation and frequency of the texture. This adaptive model is used to solve image processing inverse problems, such as image decomposition and inpainting. The local orientation and frequency of the texture component are adaptively estimated during the minimization process. To improve inpainting performances over large missing regions, we introduce a higly non-convex generalization of our texture model. This new model constrains the amplitude of the texture and it allows one to impose an arbitrary oscillation profile. Numerical results illustrate the effectiveness of the method.
- 1 :
- INSERM : U746 – CNRS : UMR6074 – INRIA – Université de Rennes 1
- 2 :
- École normale supérieure de Cachan - ENS Cachan
- 3 :
- CNRS : UMR7534 – Université Paris IX - Paris Dauphine
- Domaine : Informatique/Traitement du signal et de l'image
Sciences de l'ingénieur/Traitement du signal et de l'image - Mots-clés : Locally parallel textures – image separation – inpainting – total variation – curvelets – cartoon image.
- Versions disponibles : v1 (11-09-2009) v2 (23-01-2011)
- hal-00415779, version 2
- http://hal.archives-ouvertes.fr/hal-00415779
- oai:hal.archives-ouvertes.fr:hal-00415779
- Contributeur :
- Soumis le : Lundi 17 Janvier 2011, 18:56:08
- Dernière modification le : Mercredi 23 Mai 2012, 21:58:03
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