• DocumentCode
    2852186
  • Title

    Smooth Convergence of Degree Reduction for Negative Degree Bezier Curves

  • Author

    Chen, Xuejuan

  • Author_Institution
    Sch. of Sci., Jimei Univ., Xiamen, China
  • fYear
    2009
  • fDate
    11-13 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, we provide the degree reduction algorithm for negative degree Bezier curves. By the uniform parameterization of control polygons and the definition of discrete derivatives of piecewise linear functions, we prove that the degree reduced control polygons and their discrete derivatives converge in the limit to the original negative degree Bezier curve and its continuous derivatives.
  • Keywords
    convergence of numerical methods; curve fitting; piecewise linear techniques; degree reduced control polygons; degree reduction algorithm; discrete derivatives; negative degree Bezier curves; piecewise linear functions; smooth convergence; uniform parameterization; Convergence; Displays; H infinity control; Piecewise linear approximation; Piecewise linear techniques;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4507-3
  • Electronic_ISBN
    978-1-4244-4507-3
  • Type

    conf

  • DOI
    10.1109/CISE.2009.5365463
  • Filename
    5365463
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2852186