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ESA
2001
Springer

Splitting a Delaunay Triangulation in Linear Time

14 years 3 months ago
Splitting a Delaunay Triangulation in Linear Time
Computing the Delaunay triangulation of n points requires usually a minimum of (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. Key Words. Computational geometry, Delaunay triangulation, Voronoi diagrams, Randomized algorithms.
Bernard Chazelle, Olivier Devillers, Ferran Hurtad
Added 28 Jul 2010
Updated 28 Jul 2010
Type Conference
Year 2001
Where ESA
Authors Bernard Chazelle, Olivier Devillers, Ferran Hurtado, Mercè Mora, Vera Sacristan, Monique Teillaud
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