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A replacement for Voronoi diagrams of near linear size

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1 Author(s)
Har-Peled, S. ; Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA

For a set P of n points in Rd, we define a new type of space decomposition. The new diagram provides an ε-approximation to the distance function associated with the Voronoi diagram of P, while being of near linear size, for d≥2. This contrasts with the standard Voronoi diagram that has Ω (n[d2]/) complexity in the worst case.

Published in:

Foundations of Computer Science, 2001. Proceedings. 42nd IEEE Symposium on

Date of Conference:

8-11 Oct. 2001

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