A step in the Delaunay mosaic of order \(k\)

DOI10.1007/s00022-021-00577-4zbMath1473.57068OpenAlexW3137070108MaRDI QIDQ2035135

Georg Osang, Herbert Edelsbrunner, Anton V. Nikitenko

Publication date: 24 June 2021

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-021-00577-4

zbMATH Keywords

hyperplane arrangementsdiscrete Morse theoryweighted pointspower distanceorder-\(k\) Delaunay mosaicsorder-\(k\) Voronoi tessellationsrhomboid tilings

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (1)

The Multi-cover Persistence of Euclidean Balls

Cites Work

• Equivariant discrete Morse theory
• Voronoi diagrams and arrangements
• Morse theory for cell complexes
• Poisson-Delaunay mosaics of order \(k\)
• Order-\(k\) \(\alpha\)-hulls and \(\alpha\)-shapes
• The Morse theory of Čech and Delaunay complexes
• On the shape of a set of points in the plane
• Multiple packing and covering of the plane with circles
• Lectures on Polytopes
• Shellable Nonpure Complexes and Posets. I
• The Multi-cover Persistence of Euclidean Balls
• A new duality result concerning Voronoi diagrams
• Combinatorial algebraic topology

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