Optimal transport for image processing

N Papadakis - 2015 - hal.science
Optimal Transport is a well developed mathematical theory that defines robust metrics
between probability distributions. The computation of optimal displacements between …

Transport between RGB images motivated by dynamic optimal transport

JH Fitschen, F Laus, G Steidl - Journal of Mathematical Imaging and Vision, 2016 - Springer
We propose two models for the interpolation between RGB images based on the dynamic
optimal transport model of Benamou and Brenier (Numer Math 84: 375–393, 2000). While …

A Wasserstein distance and total variation regularized model to image reconstruction problems

Y Gao - arXiv preprint arXiv:2303.07713, 2023 - arxiv.org
Optimal transport has gained much attention in image processing field, such as computer
vision, image interpolation and medical image registration. Recently, Bredies et al.(ESAIM …

Primal-dual formulation of the Dynamic Optimal Transport using Helmholtz-Hodge decomposition

M Henry, E Maitre, V Perrier - 2019 - hal.science
This work deals with the resolution of the dynamic optimal transport (OT) problem between
1D or 2D images in the fluid mechanics framework of Benamou-Brenier [6]. The numerical …

Transport optimal et ondelettes: nouveaux algorithmes et applications à l'image

M Henry - 2016 - theses.hal.science
Le transport optimal trouve un nombre grandissant d'applications, dont celle qui nous
intéresse dans ce travail, l'interpolation d'images. Malgré cet essor, la résolution numérique …

[PDF][PDF] Transport Optimal pour le Traitement d'Images

N Papadakis - 2015 - hal.science
Résumé Le Transport Optimal est une théorie mathématique très développée permettant de
définir des métriques robustes entre distributions de probabilité. Le calcul du déplacement …