Regular triangulations and Steiner points

DOI10.1090/S1061-0022-05-00872-1zbMath1078.51025OpenAlexW1607687497MaRDI QIDQ5313281

Mikhail Yu. Zvagel'skii, Yu. R. Romanovskij, Anton V. Proskurnikov

Publication date: 26 August 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00872-1

zbMATH Keywords

Steiner pointspoint configurationsGale dualityregular subdivisions

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Polyhedra and polytopes; regular figures, division of spaces (51M20) Polyhedral manifolds (52B70) Gale and other diagrams (52B35)

Cites Work

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• Constructions and complexity of secondary polytopes
• On the difficulty of triangulating three-dimensional nonconvex polyhedra
• The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
• Incremental topological flipping works for regular triangulations
• Sliver exudation
• Lectures on Polytopes
• Power Diagrams: Properties, Algorithms and Applications
• Updating and constructing constrained delaunay and constrained regular triangulations by flips

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