Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian TexturesMS35

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.

This presentation is part of Minisymposium “MS35 - Optimal Transport and Patch based Methods for Color Image Editing
organized by: Nicolas Papadakis (CNRS, Institut de Mathématiques de Bordeaux) , Rabin Julien (CNRS, Normandie Univ.) .

Arthur Leclaire (CMLA, ENS Cachan)