• DocumentCode
    2836465
  • Title

    On Voronoi Diagram in the Line Space and their Generalizations

  • Author

    Schmitt, Dominique ; Vyatkina, Kira

  • Author_Institution
    Equipe Mage-LMIA, Univ. de Haute-Alsace, Mulhouse, France
  • fYear
    2012
  • fDate
    27-29 June 2012
  • Firstpage
    122
  • Lastpage
    125
  • Abstract
    We describe the structure of the Voronoi diagram of lines for a set of points in the plane, thereby making use of an extra dimension. In contrast to previous results in this respect, which were based on the dual representation of the Voronoi diagram under consideration, our approach applies to the primal plane, and generalizes to higher-dimensional spaces.
  • Keywords
    computational geometry; Voronoi diagram; dual representation; higher-dimensional spaces; line space; primal plane; Computer aided software engineering; Computer science; Electronic mail; Face; Joining processes; Strips; Visualization; generalized Voronoi diagrams; higher-dimensional spaces; line space;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Voronoi Diagrams in Science and Engineering (ISVD), 2012 Ninth International Symposium on
  • Conference_Location
    New Brunswick, NJ
  • Print_ISBN
    978-1-4673-1910-2
  • Type

    conf

  • DOI
    10.1109/ISVD.2012.22
  • Filename
    6257667