An Inverse Problem for Circle Packing and Conformal Mapping

DOI10.2307/2154486zbMath0771.30005OpenAlexW4245096558MaRDI QIDQ4032481

Ithiel Carter, Burton Rodin

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2154486

zbMATH Keywords

circle packingdiscrete conformal geometry

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal mappings of special domains (30C20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Schwarz-Christoffel-type mappings (30C30)

Related Items (12)

Approximation of analytic functions with prescribed boundary conditions by circle-packing maps ⋮ Coin graphs, polyhedra, and conformal mapping ⋮ Rigidity of Infinite (Circle) Packings ⋮ The upper Perron method for labelled complexes with applications to circle packings ⋮ Conformal uniformization and packings ⋮ Quasiregular mapping by branched circle packing ⋮ Circle Packing: Experiments In Discrete Analytic Function Theory ⋮ Circle patterns with the combinatorics of the square grid ⋮ Circle packings and polyhedral surfaces ⋮ Approximation of conformal mappings by circle patterns ⋮ Branched Circle Packings and Discrete Blaschke Products ⋮ Circle packing and Riemann surfaces

Cites Work

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• The convergence of circle packings to the Riemann mapping
• Schwarz's lemma for circle packings
• Schwarz's lemma for circle packings. II
• An estimate for hexagonal circle packings
• The Schwarz-Pick lemma for circle packings
• On a Theorem of Mori and the Definition of Quasiconformality
• The Hexagonal Packing Lemma and Discrete Potential Theory
• A criterion for univalency brought up to date
• On the rodin and sullivan ring lemma
• Discrete Convex Functions and Proof of the Six Circle Conjecture of Fejes Tóth

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