Numerical computation of surface conformal mappings

DOI10.1007/BF03321885zbMath1238.53023OpenAlexW1972315131WikidataQ125948134 ScholiaQ125948134MaRDI QIDQ766042

Xianfeng David Gu, Feng Luo, Wei Zeng, Shing Tung Yau

Publication date: 22 March 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321885

zbMATH Keywords

harmonic mapRicci flowconformal geometrydiscrete surfaceholomorphic differential

Mathematics Subject Classification ID

Related Items (14)

Numerical solution of the Beltrami equation via a purely linear system ⋮ A constructive algorithm for disk conformal parameterizations ⋮ An efficient energy minimization for conformal parameterizations ⋮ Theoretical Foundation of the Stretch Energy Minimization for Area-Preserving Simplicial Mappings ⋮ A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds ⋮ Optimized surface parameterizations with applications to Chinese virtual broadcasting ⋮ A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations ⋮ Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory ⋮ Shape analysis via inconsistent surface registration ⋮ Fast generation of 2-D node distributions for mesh-free PDE discretizations ⋮ Computational design and additive manufacturing of periodic conformal metasurfaces by synthesizing topology optimization with conformal mapping ⋮ Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations ⋮ Diffeomorphism spline ⋮ Fast computation of the circular map

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• CirclePack

Cites Work

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