• DocumentCode
    2168491
  • Title

    A fast distance approximation algorithm for encoded quadtree locations

  • Author

    Schrack, Günther ; Wu, Wendy ; Liu, Xian

  • Author_Institution
    Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC, Canada
  • fYear
    1993
  • fDate
    14-17 Sep 1993
  • Firstpage
    1135
  • Abstract
    Several distance approximation functions to the Euclidean distance of two points in the two-dimensional Euclidean plane are reviewed. An improved distance function is proposed and compared with previous ones as to their maximum relative errors and their execution times. The improved distance function is then applied for distance calculations in the domain of linear quadtrees using dilated integer arithmetic. The maximum relative error is discussed and execution times are reported
  • Keywords
    approximation theory; computational geometry; digital arithmetic; encoding; spatial data structures; tree data structures; trees (mathematics); 2D Euclidean plane; Euclidean distance; dilated integer arithmetic; encoded quadtree locations; execution times; fast distance approximation algorithm; linear quadtrees; maximum relative errors; Approximation algorithms; Euclidean distance; Temperature;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical and Computer Engineering, 1993. Canadian Conference on
  • Conference_Location
    Vancouver, BC
  • Print_ISBN
    0-7803-2416-1
  • Type

    conf

  • DOI
    10.1109/CCECE.1993.332256
  • Filename
    332256