Sliced and Radon Wasserstein Barycenters of Measures

2014/04/07 by Nicolas Bonneel, Julien Rabin, Gabriel Peyré +1 · 7 citations
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Applied mathematics #Computer science #Computer vision #Convex optimization #Geometry #Image (mathematics) #Mathematical analysis #Mathematical optimization #Mathematics #Medical Image Segmentation Techniques #Mixing (physics) #Physics #Radon #Radon transform #Regular polygon #Space (punctuation)

paper · doi:10.1007/s10851-014-0506-3

openalex publication_date 2014/04/07 · crossref created 2014/04/07 · crossref issued 2014/04/08 · crossref published 2014/04/08 · crossref published-online 2014/04/08 · crossref published-print 2015/01/01 · crossref deposited 2025/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02 · crossref indexed 2026/08/06

Citations

• Barycenters in the Wasserstein Space
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• A metric for distributions with applications to image databases
• A viscosity solution approach to the Monge-Ampere formulation of the Optimal Transportation Problem
• The Hungarian method for the assignment problem

Cited by

• Optimizing Reservoir Computing for Reconstructing Ergodic Properties
• Simulation-free and finite-time diffusion model
• Projection Robust Wasserstein Barycenters
• Conjugate continuous-discrete projection filter via sparse-Grid quadrature
• Bringing Linearly Transformed Cosines to Anisotropic GGX
• A Novel Measure to Evaluate Generative Adversarial Networks Based on Direct Analysis of Generated Images
• Radon transform [wikipedia]