On the Computation of Optimal Transport Maps Using Gradient Flows and Multiresolution Analysis

DOI10.1007/978-1-84800-155-8_5zbMath1201.49027OpenAlexW152109914MaRDI QIDQ3053999

Allen Tannenbaum, Ayelet Dominitz, Sigurd B. Angenent

Publication date: 5 November 2010

Published in: Lecture Notes in Control and Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-84800-155-8_5

zbMATH Keywords

waveletsmultiresolutionoptimal mass transportvisual tracking

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (1)

Minimax estimation of smooth densities in Wasserstein distance

Cites Work

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• On a partial differential equation involving the Jacobian determinant
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
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• Optimal mass transport for registration and warping
• Monge’s transport problem on a Riemannian manifold
• Polar factorization and monotone rearrangement of vector‐valued functions
• The Lifting Scheme: A Construction of Second Generation Wavelets
• Minimizing Flows for the Monge--Kantorovich Problem
• On the Volume Elements on a Manifold
• Polar factorization of maps on Riemannian manifolds

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