FERRADANS, Sira; PAPADAKIS, Nicolas; RABIN, Julien; PEYRÉ, Gabriel; AUJOL, Jean-François

doi:10.1007/978-3-642-38267-3_36

Metadatos

Licencia de uso del documento

FERRADANS, Sira
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]

PAPADAKIS, Nicolas
Modelling, Observations, Identification for Environmental Sciences [MOISE]
Institut de Mathématiques de Bordeaux [IMB]

RABIN, Julien
Equipe Image - Laboratoire GREYC - UMR6072

Idioma

Communication dans un congrès

Este ítem está publicado en

International Conference on Scale Space and Variational Methods in Computer Vision (SSVM'13), 2013-06-03, Schloss Seggau, Leibnitz. 2013-06-03, vol. 7893, p. 428-439

Springer

Resumen en inglés

This article introduces a generalization of discrete Optimal Transport that includes a regularity penalty and a relaxation of the bijectivity constraint. The corresponding transport plan is solved by minimizing an energy which is a convexification of an integer optimization problem. We propose to use a proximal splitting scheme to perform the minimization on large scale imaging problems. For un-regularized relaxed transport, we show that the relaxation is tight and that the transport plan is an assignment. In the general case, the regularization prevents the solution from being an assignment, but we show that the corresponding map can be used to solve imaging problems. We show an illustrative application of this discrete regularized transport to color transfer between images. This imaging problem cannot be solved in a satisfying manner without relaxing the bijective assignment constraint because of mass variation across image color palettes. Furthermore, the regularization of the transport plan helps remove colorization artifacts due to noise amplification.< Leer menos

Palabras clave en inglés

Optimal Transport

manifold learning

proximal splitting

convex optimization

variational regularization

color transfer

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189657

DOI

http://dx.doi.org/10.1007/978-3-642-38267-3_36

Proyecto europeo

Sparsity, Image and Geometry to Model Adaptively Visual Processings

Proyecto ANR

Transport Optimal et Modèles Multiphysiques de l'Image - ANR-11-BS01-0014

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251