1998Unpublished venueRequires access

Euclidean proximity and power diagrams.

Leonidas Guibas, Li Zhang

Open publisher page 12 citations

Abstract

this paper, we don't assume nondegeneracy. Thus, it is possible that two power diagram cells share a low dimensional face but not a facet. In this case, we don't regard them as adjacent in the power diagram. 3 Main Results

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What this paper is about

this paper, we don't assume nondegeneracy. Thus, it is possible that two power diagram cells share a low dimensional face but not a facet. In this case, we don't regard them as adjacent in the power diagram. 3 Main Results

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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

this paper, we don't assume nondegeneracy. Thus, it is possible that two power diagram cells share a low dimensional face but not a facet. In this case, we don't regard them as adjacent in the power diagram. 3 Main Results

Key concepts: Voronoi diagram, Weighted Voronoi diagram, Power diagram, Bowyer–Watson algorithm, Delaunay triangulation, Centroidal Voronoi tessellation, Mathematics, Combinatorics

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