Degeneracy of Angular Voronoi Diagram

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dc.creatorMuta, Hidetoshi
dc.creatorKato, Kimikazu
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:05Z
dc.date.available2026-07-07T08:34:05Z
dc.descriptionAngular Voronoi diagram was introduced by Asano et al. as fundamental research for a mesh generation. In an angular Voronoi diagram, the edges are curves of degree three. From view of computational robustness we need to treat the curves carefully, because they might have a singularity. We enumerate all the possible types of curves that appear as an edge of an angular Voronoi diagram, which tells us what kind of degeneracy is possible and tells us necessity of considering a singularity for computational robustness.
dc.description8 pages, 11 figures, 1 table, presented at 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD07)
dc.identifierhttps://arxiv.org/abs/0710.0925
dc.identifierhttp://arxiv.org/abs/0710.0925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139313
dc.subjectComputational Geometry
dc.titleDegeneracy of Angular Voronoi Diagram
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