Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow

DOI10.1007/s10915-013-9791-zzbMath1316.65036OpenAlexW2057756020MaRDI QIDQ474938

Lok Ming Lui, Xianfeng Gu, Tsz Ching Ng

Publication date: 25 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10915-013-9791-z

zbMATH Keywords

iterative algorithmTeichmüller mapquasiconformal mapBeltrami holomorphic flowextremal mapmultiply-connected domains

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

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Cites Work

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• Optimization of surface registrations using Beltrami holomorphic flow
• Computing quasiconformal maps using an auxiliary metric and discrete curvature flow
• On a numerical method for quasi-conformal grid generation
• On quasiconformal mappings of open Riemann surfaces
• Discrete quasiconformal mappings
• Computing conformal structures of surfaces
• An Interpolating Polynomial Method for Numerical Conformal Mapping
• Texture Map and Video Compression Using Beltrami Representation
• Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration
• Numerical Computation of the Schwarz–Christoffel Transformation for Multiply Connected Domains
• Quasiconformal Mappings and Grid Generation
• Conformal Maps to Multiply Slit Domains and Applications
• A Fast Algorithm to Solve Nonhomogeneous Cauchy–Riemann Equations in the Complex Plane
• Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization