• DocumentCode
    2993394
  • Title

    A new representation for a line

  • Author

    Roberts, Kenneth S.

  • Author_Institution
    AT&T Bell Labs., Holmdel, NJ, USA
  • fYear
    1988
  • fDate
    5-9 Jun 1988
  • Firstpage
    635
  • Lastpage
    640
  • Abstract
    The author presents a representation for a line in Euclidean three-space which uses only four parameters (the minimum number possible). Unlike other four-parameter representations. it has no singularities and special cases. The representation readily generalizes to Euclidean n-space, where it uses 2n-2 parameters. Possible applications include data compression, handling sets of parallel lines, representing kinematic linkages, and optimization problems
  • Keywords
    computational geometry; data compression; optimisation; picture processing; Euclidean three-space; computational geometry; data compression; kinematic linkages; line representation; optimization; picture processing; Computer science; Couplings; Data compression; Fasteners; H infinity control; Humans; Robot kinematics; Robot motion; Technical drawing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Vision and Pattern Recognition, 1988. Proceedings CVPR '88., Computer Society Conference on
  • Conference_Location
    Ann Arbor, MI
  • ISSN
    1063-6919
  • Print_ISBN
    0-8186-0862-5
  • Type

    conf

  • DOI
    10.1109/CVPR.1988.196303
  • Filename
    196303