The Singularity Set of Optimal Transportation Maps

DOI10.1007/978-3-030-76798-3_4zbMath1479.90029OpenAlexW3202385249MaRDI QIDQ5020221

Yang Guo, Xianfeng Gu, Wei Chen, Na Lei, Tong Zhao, Zhong-xuan Luo

Publication date: 5 January 2022

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-76798-3_4

zbMATH Keywords

power diagramconvex hullupper envelopesecondary polytopeweighted Delaunay triangulation

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06)

Cites Work

• Unnamed Item
• Unnamed Item
• Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations
• Partial \(W^{2,p}\) regularity for optimal transport maps
• A geometric view of optimal transportation and generative model
• Construction of three-dimensional Delaunay triangulations using local transformations
• Triangulations. Structures for algorithms and applications
• Secondary polytope and secondary power diagram
• Regularity Properties of Optimal Maps Between Nonconvex Domains in the Plane
• Polar factorization and monotone rearrangement of vector‐valued functions
• Power Diagrams: Properties, Algorithms and Applications

This page was built for publication: The Singularity Set of Optimal Transportation Maps