• DocumentCode
    937168
  • Title

    Dynamic Voronoi diagrams

  • Author

    Gowda, Ihor G. ; Kirkpatrick, David G. ; Lee, Der Tsai ; Naamad, Amnon

  • Volume
    29
  • Issue
    5
  • fYear
    1983
  • fDate
    9/1/1983 12:00:00 AM
  • Firstpage
    724
  • Lastpage
    731
  • Abstract
    A new dynamizing technique is introduced whereby n point Voronoi diagrams (both closest and farthest point) can be updated in O(n) time per insertion or deletion, in the worst case. General properties of these dynamic Voronoi diagrams are explored including a storage/ deletion-time trade-off. In addition, their application to such problems as nearest neighbor search and the 2-minimum spanning circle problem is discussed.
  • Keywords
    Geometry; Graph theory; Search methods; Trees; Automatic control; Brain modeling; Electroencephalography; Entropy; Linear systems; Pattern classification; Signal analysis; Signal processing; Spectral analysis; Speech processing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1983.1056738
  • Filename
    1056738