A novel stretch energy minimization algorithm for equiareal parameterizations

DOI10.1007/s10915-018-0822-7zbMath1417.65112arXiv1708.07391OpenAlexW2963608135MaRDI QIDQ1999866

Mei-Heng Yueh, Chin-Tien Wu, Shing Tung Yau, Wen-Wei Lin

Publication date: 27 June 2019

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

Full work available at URL: https://arxiv.org/abs/1708.07391

zbMATH Keywords

surface remeshingsurface registrationsimply connected open surfacesequiareal parameterizations

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (13)

Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ A constructive algorithm for disk conformal parameterizations ⋮ Area-preserving parameterization with Tutte regularization ⋮ Ellipsoidal conformal and area-/volume-preserving parameterizations and associated optimal mass transportations ⋮ Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings ⋮ A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds ⋮ Fundamental theory and R-linear convergence of stretch energy minimization for spherical equiareal parameterization ⋮ Optimized surface parameterizations with applications to Chinese virtual broadcasting ⋮ Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding ⋮ A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds ⋮ Shape analysis via inconsistent surface registration ⋮ Projected gradient method combined with homotopy techniques for volume-measure-preserving optimal mass transportation problems ⋮ Free-boundary conformal parameterization of point clouds

Uses Software

• pchip
• Stanford 3D Scanning Repository

Cites Work

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• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
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