Projected gradient method combined with homotopy techniques for volume-measure-preserving optimal mass transportation problems

DOI10.1007/s10915-021-01583-zzbMath1481.65040OpenAlexW3186590563MaRDI QIDQ2051077

Yanyan Li

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01583-z

zbMATH Keywords

optimal mass transportationsimply connected 3-manifoldvolume-measure-preserving

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Optimal transportation (49Q22)

Related Items (2)

Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport ⋮ Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations

Uses Software

• Stanford 3D Scanning Repository
• iso2mesh
• BRENT

Cites Work

• Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations
• A geometric view of optimal transportation and generative model
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• An efficient energy minimization for conformal parameterizations
• A novel stretch energy minimization algorithm for equiareal parameterizations
• Optimal mass transport for registration and warping
• Polar factorization and monotone rearrangement of vector‐valued functions
• Computing Discrete Minimal Surfaces and Their Conjugates
• From Knothe's Rearrangement to Brenier's Optimal Transport Map
• A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds
• Unnamed Item

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