Constructing conformal maps of triangulated surfaces

DOI10.1016/j.jmaa.2012.01.023zbMath1242.30007OpenAlexW2090585748MaRDI QIDQ408258

G. Brock Williams

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.023

zbMATH Keywords

circle packingconformal mapstriangulated surfacesconformal weldingconformal brain flattening

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Riemann surfaces (30F99) Circle packings and discrete conformal geometry (52C26)

Related Items (2)

Discrete welding on Riemann surfaces ⋮ Constructing quasiconformal maps using circle packings and Brooks's parameterization of quadrilaterals

Uses Software

• CirclePack

Cites Work

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• The boundary correspondence under quasiconformal mappings
• The convergence of circle packings to the Riemann mapping
• Convergence of circle packings of finite valence to Riemann mappings
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Second derivatives of circles packings and conformal mappings
• Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure
• The asymptotic value of the circle-packing rigidity constants \(s_ n\)
• Circle packings and conformal representations: A new proof of the Rodin-Sullivan theorem
• On the convergence of circle packings to the Riemann map
• A circle packing measurable Riemann mapping theorem
• Quasicircles and harmonic measure
• A probabilistic proof of Thurston's conjecture on circle packings
• Conformal sewings of slit regions
• Uniformizing dessins and Belyĭ maps via circle packing
• Discrete conformal welding
• Branched Circle Packings and Discrete Blaschke Products
• Welding of polygons and the type of Riemann surfaces
• QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE
• ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE

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