• DocumentCode
    1129244
  • Title

    A note on the connection between Bezier curves and linear optimal control

  • Author

    Egerstedt, Magnus B. ; Martin, Clyde F.

  • Author_Institution
    Electr. & Comput. Eng. Dept., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    49
  • Issue
    10
  • fYear
    2004
  • Firstpage
    1728
  • Lastpage
    1732
  • Abstract
    We show that Bezier curves can in fact be thought of as the solutions to linear optimal control problems, using results from Hermite interpolation in combination with traditional linear optimal control. This provides us with a computational view of Bezier curves that differs from the standard DeCasteljau Algorithm, and it furthermore points out the close relationship between Bezier curves and interpolating dynamic splines.
  • Keywords
    interpolation; linear systems; optimal control; splines (mathematics); Bezier curve; Hermite interpolation; dynamic splines interpolation; linear optimal control; Algorithm design and analysis; Application software; Books; Computer graphics; Interpolation; Iterative algorithms; Military computing; Optimal control; Polynomials; Shape control; Bezier curves; hermite interpolation; optimal control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.835393
  • Filename
    1341566
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1129244