A Replacement for Voronoi Diagrams of Near Linear Size (2001)
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by
Sariel Har-peled
| Venue: | In Proc. 42nd Annu. IEEE Sympos. Found. Comput. Sci |
| Citations: | 77 - 5 self |
BibTeX
@INPROCEEDINGS{Har-peled01areplacement,
author = {Sariel Har-peled},
title = {A Replacement for Voronoi Diagrams of Near Linear Size},
booktitle = {In Proc. 42nd Annu. IEEE Sympos. Found. Comput. Sci},
year = {2001},
pages = {94--103}
}
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Abstract
For a set P of n points in R^d, 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 complexity Ω(n^⌈d/2⌉) in the worst case.
