@InProceedings{RezendeWest:1999:OpAlCo,
author = "Rezende, Pedro J. de and Westrupp, Rodrigo B.",
title = "An optimal algorithm to construct all voronoi diagrams for k
nearest neighbor search in T2",
booktitle = "Proceedings...",
year = "1999",
editor = "Stolfi, Jorge and Tozzi, Cl{\'e}sio Luis",
pages = "7--15",
organization = "Brazilian Symposium on Computer Graphics and Image Processing, 12.
(SIBGRAPI)",
publisher = "IEEE Computer Society",
address = "Los Alamitos",
note = "The conference was held in Campinas, SP, Brazil, from October 17
to 20.",
keywords = "t2, voronoi, euclidean, k.",
abstract = "In this paper, we generalize to the oriented projective plane T2
an algorithm for constructing all order k Voronoi diagram in the
Euclidean plane. We also show that, for fixed K and for a finite
set of sites, an order K Voronoi diagram in T2 has an exact number
of regions. Furthermore, we show that the order K Voronoi diagram
of a se of n sites in T2 is antipodal to its order n - K Voronoi
diagram, VK: 1-< K < n.",
conference-location = "Campinas, SP, Brazil",
conference-year = "17-20 Oct. 1999",
doi = "10.1109/SIBGRA.1999.805592",
url = "http://dx.doi.org/10.1109/SIBGRA.1999.805592",
organisation = "SBC - Brazilian Computer Society and UNICAMP - University of
Campinas",
ibi = "83LX3pFwXQZ4BFjAq/jhcmy",
url = "http://urlib.net/ibi/83LX3pFwXQZ4BFjAq/jhcmy",
targetfile = "014-31421568.pdf",
urlaccessdate = "2024, May 03"
}