• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

Sliced and Radon Wasserstein Barycenters of Measures

Pfister, Hanspeter; Peyré, Gabriel; Rabin, Julien; Bonneel, Nicolas (2015), Sliced and Radon Wasserstein Barycenters of Measures, Journal of Mathematical Imaging and Vision, 51, 1, p. 22-45. http://dx.doi.org/10.1007/s10851-014-0506-3

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00881872
Date
2015
Journal name
Journal of Mathematical Imaging and Vision
Volume
51
Number
1
Publisher
Springer
Pages
22-45
Publication identifier
http://dx.doi.org/10.1007/s10851-014-0506-3
Metadata
Show full item record
Author(s)
Pfister, Hanspeter
Peyré, Gabriel
Rabin, Julien cc
Bonneel, Nicolas cc
Abstract (EN)
This article details two approaches to compute barycenters of measures using 1-D Wasserstein distances along radial projections of the input measures. The first me- thod makes use of the Radon transform of the measures, and the second is the solution of a convex optimization problem over the space of measures. We show several properties of these barycenters and explain their relationship. We show numerical approximation schemes based on a discrete Radon transform and on the resolution of a non-convex optimization problem. We explore the respective merits and drawbacks of each approach on applications to two image processing problems: color transfer and texture mixing.
Subjects / Keywords
Barycenter of measures; Wasserstein distance; Radon transform; Optimal transport

Related items

Showing items related by title and author.

  • Thumbnail
    Wasserstein Barycenter and its Application to Texture Mixing 
    Bernot, Marc; Rabin, Julien; Peyré, Gabriel; Delon, Julie (2012) Communication / Conférence
  • Thumbnail
    Wasserstein Regularization of Imaging Problem 
    Peyré, Gabriel; Rabin, Julien (2011) Communication / Conférence
  • Thumbnail
    Wasserstein Active Contours 
    Rabin, Julien; Fadili, Jalal; Peyré, Gabriel (2012) Communication / Conférence
  • Thumbnail
    Régularisation de Wasserstein. Application au Transfert de Couleur 
    Julien, Rabin; Peyré, Gabriel (2011) Communication / Conférence
  • Thumbnail
    Regularized Discrete Optimal Transport 
    Ferradans, Sira; Papadakis, Nicolas; Rabin, Julien; Peyré, Gabriel; Aujol, Jean-François (2013) Communication / Conférence
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo