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  • 标题:Implementing Delaunay Triangulations of the Bolza Surface
  • 本地全文:下载
  • 作者:Iordan Iordanov ; Monique Teillaud
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2017
  • 卷号:77
  • 页码:44:1-44:15
  • DOI:10.4230/LIPIcs.SoCG.2017.44
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:The CGAL library offers software packages to compute Delaunay triangulations of the (flat) torus of genus one in two and three dimensions. To the best of our knowledge, there is no available software for the simplest possible extension, i.e., the Bolza surface, a hyperbolic manifold homeomorphic to a torus of genus two. In this paper, we present an implementation based on the theoretical results and the incremental algorithm proposed last year at SoCG by Bogdanov, Teillaud, and Vegter. We describe the representation of the triangulation, we detail the different steps of the algorithm, we study predicates, and report experimental results.
  • 关键词:hyperbolic surface; Fuchsian group; arithmetic issues; Dehn's algorithm; CGAL
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