• DocumentCode
    938997
  • Title

    Construction of the Voronoi diagram for `one million´ generators in single-precision arithmetic

  • Author

    Sugihara, Kokishi ; Iri, Masao

  • Author_Institution
    Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan
  • Volume
    80
  • Issue
    9
  • fYear
    1992
  • fDate
    9/1/1992 12:00:00 AM
  • Firstpage
    1471
  • Lastpage
    1484
  • Abstract
    A numerically stable algorithm for constructing Voronoi diagrams in the plane is presented. In this algorithm higher priority is placed on the topological structure than on numerical values, so that, however large the numerical errors, the algorithm will never come across topological inconsistency and thus can always complete its task. The behavior of the algorithm is shown with examples, including one for as many as 106 generators
  • Keywords
    computational geometry; convergence of numerical methods; Voronoi diagram; numerically stable algorithm; single-precision arithmetic; topological structure; Algorithm design and analysis; Computational geometry; Error correction; Floating-point arithmetic; Physics education; Programming profession; Robustness;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/5.163412
  • Filename
    163412
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=938997