Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization

DOI10.1090/S0025-5718-2015-02962-7zbMath1320.30040arXiv1307.2679OpenAlexW1967138887MaRDI QIDQ5501147

Lok Ming Lui, Xianfeng Gu, Shing Tung Yau

Publication date: 13 August 2015

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2679

zbMATH Keywords

Riemann surfacesextremal Teichmüller maps

Mathematics Subject Classification ID

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

Related Items (10)

Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing ⋮ Computing Teichmüller maps between polygons ⋮ Fundamental theory and R-linear convergence of stretch energy minimization for spherical equiareal parameterization ⋮ Planar morphometrics using Teichmüller maps ⋮ 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 ⋮ The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity ⋮ The computation of conformal map by harmonic diffeomorphisms between surfaces ⋮ TEMPO: Feature-Endowed Teichmüller Extremal Mappings of Point Clouds

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SCPACK

Cites Work

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• Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series
• Conformal mappings to multiply connected polycircular arc domains
• On quasiconformal mappings of open Riemann surfaces
• Computing conformal structures of surfaces
• Conformal mappings between canonical multiply connected domains
• An Interpolating Polynomial Method for Numerical Conformal Mapping
• Numerical Computation of the Schwarz–Christoffel Transformation for Multiply Connected Domains
• Conformal Maps to Multiply Slit Domains and Applications
• Numerical Computation of the Schwarz–Christoffel Transformation
• Schwarz-Christoffel Mapping
• CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS

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