Splitting a delaunay triangulation in linear time

B. Chazelle, O. Devillers, F. Hurtado, M. Mora, V. Sacristán, M. Teillaud

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


Computing the Delaunay triangulation of n points requires usually a minimum of Ω(n log n) operations, but in some special cases where some additional knowledge is provided, faster algorithms can be designed. Given two sets of points, we prove that, if the Delaunay triangulation of all the points is known, the Delaunay triangulation of each set can be computed in randomized expected linear time.

Original languageEnglish (US)
Pages (from-to)39-46
Number of pages8
JournalAlgorithmica (New York)
Issue number1
StatePublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • Computer Science Applications
  • Applied Mathematics


  • Computational geometry
  • Delaunay triangulation
  • Randomized algorithms
  • Voronoi diagrams


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