An efficient energy minimization for conformal parameterizations

DOI10.1007/s10915-017-0414-yzbMath1380.65049OpenAlexW2612496203MaRDI QIDQ1685509

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

Publication date: 14 December 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0414-y

zbMATH Keywords

conformal parameterizationsconformal energy minimizationsimply-connected open surfacessurface morphing

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Circle packings and discrete conformal geometry (52C26)

Related Items (16)

Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ A constructive algorithm for disk conformal parameterizations ⋮ Computing Harmonic Maps and Conformal Maps on Point Clouds ⋮ 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 ⋮ Convergence of Dirichlet energy minimization for spherical conformal parameterizations ⋮ 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 ⋮ A novel stretch energy minimization algorithm for equiareal parameterizations ⋮ Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory ⋮ Projected gradient method combined with homotopy techniques for volume-measure-preserving optimal mass transportation problems ⋮ Free-boundary conformal parameterization of point clouds ⋮ Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations

Uses Software

• Stanford 3D Scanning Repository
• ABF++

Cites Work

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• A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations
• Fundamentals of computational conformal geometry
• Numerical computation of surface conformal mappings
• Fast disk conformal parameterization of simply-connected open surfaces
• Shape analysis by conformal modules
• High performance computing for spherical conformal and Riemann mappings
• Computing Discrete Minimal Surfaces and Their Conjugates
• Alice universes
• FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces
• Mesh Parameterization Methods and Their Applications
• Parameterization of faceted surfaces for meshing using angle-based flattening

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