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A deterministic algorithm for the three-dimensional diameter problem

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Publication:1917056
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DOI10.1016/0925-7721(95)00025-9zbMath0849.68130OpenAlexW2069612526MaRDI QIDQ1917056

Otfried Schwarzkopf, Ji{ří} Matoušek

Publication date: 14 July 1996

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

Full work available at URL: https://doi.org/10.1016/0925-7721(95)00025-9


zbMATH Keywords

computational geometrydeterministic algorithm


Mathematics Subject Classification ID

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


Related Items

APPROXIMATING THE DIAMETER, WIDTH, SMALLEST ENCLOSING CYLINDER, AND MINIMUM-WIDTH ANNULUS ⋮ An efficient algorithm for the three-dimensional diameter problem



Cites Work

  • Diameter, width, closest line pair, and parametric searching
  • On ray shooting in convex polytopes
  • A deterministic view of random sampling and its use in geometry
  • Cutting hyperplane arrangements
  • Efficient partition trees
  • Cutting hyperplanes for divide-and-conquer
  • Applications of random sampling in computational geometry. II
  • Approximations and optimal geometric divide-and-conquer
  • Applying Parallel Computation Algorithms in the Design of Serial Algorithms
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