Computing quasiconformal maps using an auxiliary metric and discrete curvature flow

DOI10.1007/s00211-012-0446-zzbMath1246.30037OpenAlexW2117913575WikidataQ57397269 ScholiaQ57397269MaRDI QIDQ444062

David Xianfeng Gu, Feng Luo, Lok Ming Lui, Wei Zeng, Tony F. Chan, Shing Tung Yau

Publication date: 13 August 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-012-0446-z

zbMATH Keywords

algorithmnumerical computationBeltrami equationdiscrete quasiconformal mapping

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Quasiconformal mappings in the complex plane (30C62) Schwarz-Christoffel-type mappings (30C30) Riemann surfaces (30F99)

Related Items

QCMC: quasi-conformal parameterizations for multiply-connected domains ⋮ PCBC: quasiconformality of point cloud mappings ⋮ Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing ⋮ Constructing planar domain parameterization with HB-splines via quasi-conformal mapping ⋮ Computing Harmonic Maps and Conformal Maps on Point Clouds ⋮ Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow ⋮ Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding ⋮ Subdivision connectivity remeshing via Teichmüller extremal map ⋮ Density-Equalizing Maps for Simply Connected Open Surfaces ⋮ Computing Surface Uniformization Using Discrete Beltrami Flow ⋮ Diffeomorphism spline ⋮ A splitting method for diffeomorphism optimization problem using Beltrami coefficients

Uses Software

• ABF++

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