• DocumentCode
    3204741
  • Title

    An optimal parallel algorithm for finding the smallest enclosing rectangle on a mesh-connected computer [for rectangle read triangle]

  • Author

    Jeong, Chang-Sung ; Choi, Jung-Ju

  • Author_Institution
    Dept. of Comput. Sci., Pohang Inst. of Sci. & Technol., South Korea
  • fYear
    1992
  • fDate
    23-26 Mar 1992
  • Firstpage
    138
  • Lastpage
    141
  • Abstract
    The authors consider the problem of finding the smallest triangle circumscribing a convex polygon with n edges. They show that this can be done in O(√n) time by efficient data partition schemes and proper set mapping and comparison operations using a so called √n-decomposition technique. Since the nontrivial operation on MCC requires Ω(√n), the time complexity is optimal within a constant time factor
  • Keywords
    computational complexity; computational geometry; multiprocessor interconnection networks; parallel algorithms; comparison operations; convex polygon; data partition; mesh-connected computer; optimal parallel algorithm; set mapping; smallest triangle; time complexity; Clocks; Collision avoidance; Computer science; Parallel algorithms; Partitioning algorithms; Robots; Time factors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Parallel Processing Symposium, 1992. Proceedings., Sixth International
  • Conference_Location
    Beverly Hills, CA
  • Print_ISBN
    0-8186-2672-0
  • Type

    conf

  • DOI
    10.1109/IPPS.1992.223058
  • Filename
    223058