Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures

Bruno Galerne (1) , Arthur Leclaire (2) , Julien Rabin (3)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
2 CMLA - Centre de Mathématiques et de Leurs Applications
3 Equipe Image - Laboratoire GREYC - UMR6072

A bilevel texture model is proposed, based on a local transform of a Gaussian random field. The core of this method relies on the optimal transport of a continuous Gaussian distribution towards the discrete exemplar patch distribution. The synthesis then simply consists in a fast post-processing of a Gaussian texture sample, boiling down to an improved nearest-neighbor patch matching, while offering theoretical guarantees on statistical compliancy.

Keywords: optimal transport; texture synthesis; patch distribution

Domains: Optimization and Control [math.OC]; Graphics [cs.GR]; Image Processing [eess.IV]

Bruno Galerne, Arthur Leclaire, Julien Rabin. Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures. Geometric Science of Information, Nov 2017, Paris, France. ⟨10.1007/978-3-319-68445-1_12⟩. ⟨hal-01560785⟩