A.G. Corbalan, M. Mazony, T. Recio, F. Santos  Home/Search
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Abstract: Voronoi diagrams in the plane for strictly convex distances have been studied in [3], [5] and [7]. These distances induce the usual topology in the plane and, moreover, the Voronoi diagrams they produce enjoy many of the good properties of Euclidean Voronoi diagrams. Nevertheless, we show (Th.1) that it is not possible to transform, by means of a bijection from the plane into itself, the computation of such Voronoi diagrams to the computation of Euclidean Voronoi diagrams (except in the trivial ... (Update)
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BibTeX entry: (Update)
@inproceedings{ corbalan93topological,
author = "A. Corbalan and M. Mazon and Tomas Recio and Francisco Santos",
title = "On the Topological Shape of Planar Voronoi Diagrams",
booktitle = "Symposium on Computational Geometry",
pages = "109-115",
year = "1993",
url = "citeseer.nj.nec.com/108605.html" }
Citations (may not include all citations):216 Primitives for the manipulation of General Subdivisions and .. (context) - Guibas, Stolfi - 1985
32 Voronoi Diagrams based on convex distance functions (context) - Chew, Drysdale - 1985
24 Concrete and abstract Voronoi Diagrams (context) - Klein
18 Two dimensional Voronoi diagrams in the L p metric (context) - Lee - 1980
10 Topological Vector Spaces (context) - Kothe - 1969
1 Recognizing Dirichlet Tesselations (context) - Ash, Bolker - 1985
1 Generalized Dirichlet Tesselations (context) - Ash, Bolker - 1986
1 Diagramas de Voronoi en caleidoscopios (context) - Maz'on - 1992
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