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Voronoi Diagrams in Higher Dimensions under Certain Polyhedral Distance Functions

✍ Scribed by J.-D. Boissonnat; M. Sharir; B. Tagansky; M. Yvinec


Publisher
Springer
Year
1998
Tongue
English
Weight
462 KB
Volume
19
Category
Article
ISSN
0179-5376

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The combinatorial complexity of the Voronoi diagram of n lines in three dimensions under a convex distance function induced by a polytope with a constant Ž 2 Ž . . Ž . number of edges is shown to be O n ␣ n log n , where ␣ n is a slowly growing inverse of the Ackermann function. There are arrangemen