The Delaunay tessellation in hyperbolic space

DOI10.1017/S0305004116000827zbMath1383.52019arXiv1308.4899OpenAlexW2963274266MaRDI QIDQ4600746

Jason Deblois

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4899

zbMATH Keywords

hyperbolic spaceconvex hullVoronoi tessellationDelaunay tessellation

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (3)

The maximal injectivity radius of hyperbolic surfaces with geodesic boundary ⋮ Bounds for several-disk packings of hyperbolic surfaces ⋮ The centered dual and the maximal injectivity radius of hyperbolic surfaces

Cites Work

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• Euclidean decompositions of noncompact hyperbolic manifolds
• Lectures on hyperbolic geometry
• Nonpositively curved, piecewise Euclidean structures on hyperbolic manifolds
• The centered dual and the maximal injectivity radius of hyperbolic surfaces
• A generalization of the Epstein-Penner construction to projective manifolds
• A Whirlwind Tour of Computational Geometry
• Foundations of Hyperbolic Manifolds
• The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon
• Hyperbolic delaunay complexes and voronoi diagrams made practical
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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