• DocumentCode
    568393
  • Title

    Solving the Range Searching Problem for Region Bounded by a Convex Surface

  • Author

    Tereshchenko, V. ; Socolov, O. ; Fisunenko, A.

  • fYear
    2012
  • fDate
    11-13 July 2012
  • Firstpage
    491
  • Lastpage
    494
  • Abstract
    In this paper we consider one of the approaches to solving the range searching problem for a range which is bounded by a convex surface in Euclidean d-dimensional space. In particular, we propose a method of range searching which gives query time O(logN) and uses O(NlogN) memory where N is cardinality of an input data set. It is enabled by applying optimal data structures for storing points in nodes of a quadtree.
  • Keywords
    computational complexity; computational geometry; data structures; search problems; set theory; Euclidean d-dimensional space; convex surface bounded region; data set cardinality; optimal data structures; point storage; quadtree nodes; query time; range searching problem; Approximation algorithms; Complexity theory; Data structures; Estimation; Hypercubes; Search problems; Vegetation; convex surface; ddimensional space; quadtree; range searching;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Visualisation (IV), 2012 16th International Conference on
  • Conference_Location
    Montpellier
  • ISSN
    1550-6037
  • Print_ISBN
    978-1-4673-2260-7
  • Type

    conf

  • DOI
    10.1109/IV.2012.85
  • Filename
    6295860