• DocumentCode
    3023113
  • Title

    Smooth rational motion of a rigid triangle in R3

  • Author

    Chaudhry, Farzana S. ; Cameron, Stephen A.

  • Author_Institution
    Comput. Lab., Oxford Univ., UK
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    140
  • Lastpage
    146
  • Abstract
    Using rational motions it is possible to apply many fundamental Bezier spline (or B-spline) techniques to the designs of motion. The paper develops and tests a simple automatic algorithm for representing C 1 smooth motion of a rigid triangle Δ in R3, by means of piecewise parametric rational curves of degree 2m/2m for some m, when measurements of the positions of the vertices of the triangle Δ at a sequence of times ti, i=0, 1, …, n, in R3 are given. The method presented in the paper can be applied to various problems in computer animation as well as in robotics
  • Keywords
    computational geometry; computer animation; motion estimation; splines (mathematics); B-spline techniques; Bezier spline; C1 smooth motion; R3; automatic algorithm; computer animation; piecewise parametric rational curves; rigid triangle; robotics; smooth rational motion; Algorithm design and analysis; Animation; Automatic testing; Computer graphics; Integrated circuit testing; Interpolation; Laboratories; Merging; Postal services; Quaternions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Visualization, 1999. Proceedings. 1999 IEEE International Conference on
  • Conference_Location
    London
  • ISSN
    1093-9547
  • Print_ISBN
    0-7695-0210-5
  • Type

    conf

  • DOI
    10.1109/IV.1999.781550
  • Filename
    781550
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3023113