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Why is the 3D Delaunay triangulation difficult to construct?

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Publication:673008
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DOI10.1016/0020-0190(95)00028-BzbMath1004.68556OpenAlexW2058714019MaRDI QIDQ673008

Hiroshi Inagaki, Kōkichi Sugihara

Publication date: 28 February 1997

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0190(95)00028-b


zbMATH Keywords

degeneracyDelaunay triangulationnumerical robustnesstopological consistency


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items (1)

2D and 3D finite element meshing and remeshing



Cites Work

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  • An acyclicity theorem for cell complexes in d dimensions
  • Verifiable implementations of geometric algorithms using finite precision arithmetic
  • Axioms and hulls
  • IMPROVEMENTS OF THE INCREMENTAL METHOD FOR THE VORONOI DIAGRAM WITH COMPUTATIONAL COMPARISON OF VARIOUS ALGORITHMS
  • Two algorithms for constructing a Delaunay triangulation
  • A ROBUST TOPOLOGY-ORIENTED INCREMENTAL ALGORITHM FOR VORONOI DIAGRAMS


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