Computing Surface Uniformization Using Discrete Beltrami Flow

DOI10.1137/130939183zbMath1317.30064OpenAlexW594664713MaRDI QIDQ5254805

Tsz Wai Wong, Hong-Kai Zhao

Publication date: 10 June 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/da8453f49e96e5b6e027e3f85f157a81e60ba56a

zbMATH Keywords

Riemann surfacesnumerical methodsuniformizationconformal maps

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)

Related Items (3)

PCBC: quasiconformality of point cloud mappings ⋮ Parallelizable Global Quasi-Conformal Parameterization of Multiply Connected Surfaces via Partial Welding ⋮ A Unifying Framework for $n$-Dimensional Quasi-Conformal Mappings

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
• Discrete quasiconformal mappings
• Tutte's barycenter method applied to isotopies
• Combinatorial Ricci flows on surfaces.
• Texture Map and Video Compression Using Beltrami Representation
• The Uniformization Theorem
• Computing Discrete Minimal Surfaces and Their Conjugates
• Conformal Wasserstein distance: II. computational aspects and extensions
• Computation of Quasi-Conformal Surface Maps Using Discrete Beltrami Flow
• Shortest non-trivial cycles in directed surface graphs
• Discrete Surface Ricci Flow: Theory and Applications
• How to Draw a Graph

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