Discrete welding on Riemann surfaces

DOI10.1007/s11785-012-0220-3zbMath1275.30014OpenAlexW1975423271MaRDI QIDQ371889

G. Brock Williams, J'lee Bumpus

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-012-0220-3

zbMATH Keywords

circle packingRiemann surfaceconformal welding

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Circle packings and discrete conformal geometry (52C26)

Related Items (2)

Approximation of conformal welding for finitely connected regions ⋮ Constructing quasiconformal maps using circle packings and Brooks's parameterization of quadrilaterals

Uses Software

• CirclePack

Cites Work

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• Constructing conformal maps of triangulated surfaces
• Combinatorial excursions in moduli space.
• The boundary correspondence under quasiconformal mappings
• Conformal welding on tori
• The convergence of circle packings to the Riemann mapping
• Some results on spaces of packable Riemann surfaces
• Convergence of circle packings of finite valence to Riemann mappings
• Approximation of quasisymmetries using circle packings
• Earthquakes and circle packings.
• Circle packings in surfaces of finite type: An in situ approach with applications to moduli
• 2D-shape analysis using conformal mapping
• Boundary correspondence under quasiconformal mappings
• A probabilistic proof of Thurston's conjecture on circle packings
• The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense
• Discrete conformal welding
• BOUNDARY INTERPOLATION SETS FOR CONFORMAL MAPS
• QUASISYMMETRIC SEWING IN RIGGED TEICHMÜLLER SPACE

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