• DocumentCode
    533032
  • Title

    Developability of ruled surfaces based on C-Bézier basis

  • Author

    Wei Chen ; Che, Ting ; Wang, Wentao

  • Author_Institution
    Sch. of Math. & Inf., Shanghai Lixin Univ. of Commerce, Shanghai, China
  • Volume
    10
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Abstract
    In this paper, we discuss developable surfaces of ruled surfaces based on C-Bézier basis, which named C-developable surfaces. This method has three important advantages. No (nonlinear) charactering equations have to be solved and some special surfaces such as circular conical surface and circular cylindrical surface can be represented exactly. Moreover ruled surfaces based on C-Bézier basis can be computed by subdivision algorithm. It is useful to free form developable surfaces modeling with C-developable surfaces.
  • Keywords
    CAD; computational geometry; engineering graphics; interpolation; splines (mathematics); surface fitting; C-Bezier basis; C-developable surface; circular conical surface; circular cylindrical surface; ruled surface developability; subdivision algorithm; C-Bézier basis; C-developable surfaces; cone; cylinder; subdivision algorithm;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Application and System Modeling (ICCASM), 2010 International Conference on
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4244-7235-2
  • Electronic_ISBN
    978-1-4244-7237-6
  • Type

    conf

  • DOI
    10.1109/ICCASM.2010.5622712
  • Filename
    5622712