A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

DOI10.1137/18m1201184OpenAlexW2953308089MaRDI QIDQ6176002

Mei-Heng Yueh, Wen-Wei Lin, Shing Tung Yau, Tiexiang Li

Publication date: 25 July 2023

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1201184

zbMATH Keywords

simply connected 3-manifoldgenus-zero closed surfacemanifold parameterizationvolume-preserving parameterizationvolumetric stretch energy minimization

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

A constructive algorithm for disk conformal parameterizations ⋮ A Splitting Scheme for Flip-Free Distortion Energies ⋮ 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 ⋮ Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings ⋮ Convergence of Dirichlet energy minimization for spherical conformal parameterizations ⋮ Fundamental theory and R-linear convergence of stretch energy minimization for spherical equiareal parameterization ⋮ Optimized surface parameterizations with applications to Chinese virtual broadcasting ⋮ A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds ⋮ Projected gradient method combined with homotopy techniques for volume-measure-preserving optimal mass transportation problems

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