• DocumentCode
    3146756
  • Title

    Singularities of C-Bézier curves

  • Author

    Chen, Wei ; Chen, Ting ; Wang, Wentao

  • Author_Institution
    Sch. of Math. & Inf., Shanghai Lixin Univ. of Commerce, Shanghai, China
  • Volume
    7
  • fYear
    2010
  • fDate
    16-18 Oct. 2010
  • Firstpage
    3080
  • Lastpage
    3082
  • Abstract
    In this paper, we show that the singularities of C-Bézier curves can be controlled, and we prove that if a nth degree C-Bézier curve has a singular point, then it can be explicitly computed. It is useful when using C-Bézier curves for curve and surface modeling.
  • Keywords
    curve fitting; C-Bezier curves; curve modeling; singular point; singularities; surface modeling; Computational modeling; Computers; Educational institutions; Polynomials; Shape; Terminology; C-Bézier curves; Discriminant; Singularity; cusp; rational Bézier curves;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Biomedical Engineering and Informatics (BMEI), 2010 3rd International Conference on
  • Conference_Location
    Yantai
  • Print_ISBN
    978-1-4244-6495-1
  • Type

    conf

  • DOI
    10.1109/BMEI.2010.5639750
  • Filename
    5639750
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3146756