• DocumentCode
    624134
  • Title

    Conversion from an arbitrary curve into a Bézier curve with the least degree using constrained economization of Chebyshev polynomials

  • Author

    Jaroensawad, Rattikarn ; Dejdumrong, Natasha

  • Author_Institution
    Dept. of Comput. & Inf. Sci., King Mongkut´s Univ. of Technol. North Bangkok, Bangkok, Thailand
  • fYear
    2013
  • fDate
    29-31 May 2013
  • Firstpage
    229
  • Lastpage
    234
  • Abstract
    In this paper, we present a new method used for the transformation of a set of discrete points into an analogous Bézier curve. Two algorithms for degree reduction of Bézier curves are then introduced using constrained economization of Chebyshev polynomials with an acceptable error value.
  • Keywords
    curve fitting; interpolation; polynomial approximation; Bézier curve approximation; Chebyshev polynomials; analogous Bézier curve; arbitrary curve; constrained economization technique; curve fitting; curve interpolation; discrete data points; error value; least degree reduction; Algorithm design and analysis; Chebyshev approximation; Computers; Interpolation; Polynomials; Bézier Curves; Basis Transformation; Chebyshev Polynomials; Degree Reduction; Economization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Software Engineering (JCSSE), 2013 10th International Joint Conference on
  • Conference_Location
    Maha Sarakham
  • Print_ISBN
    978-1-4799-0805-9
  • Type

    conf

  • DOI
    10.1109/JCSSE.2013.6567350
  • Filename
    6567350
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=624134