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Computing farthest neighbors on a convex polytope.

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Publication:1401257
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DOI10.1016/S0304-3975(02)00431-0zbMath1044.68150MaRDI QIDQ1401257

Antoine Vigneron, Chan-Su Shin, Otfried Schwarzkopf

Publication date: 17 August 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

Computational geometry3DFarthest neighborsFarthest-point Voronoi DiagramPolytope


Mathematics Subject Classification ID

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


Related Items

Group nearest-neighbor queries in the \(L_1\) plane ⋮ Farthest-point queries with geometric and combinatorial constraints ⋮ On Some Proximity Problems of Colored Sets



Cites Work

  • Unnamed Item
  • An O(n log n) algorithm for the all-nearest-neighbors problem
  • A linear time algorithm for finding all farthest neighbors in a convex polygon
  • Farthest neighbors, maximum spanning trees and related problems in higher dimensions
  • Applications of random sampling in computational geometry. II
  • Deterministic algorithms for 3-D diameter and some 2-D lower envelopes
  • An efficient algorithm for the three-dimensional diameter problem
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