• DocumentCode
    2863715
  • Title

    G2 continuity conditions for two adjacent B-spline surfaces

  • Author

    Liang, Xue-Zhang ; Che, Xiang-Jiu ; Li, Qiang

  • Author_Institution
    Inst. of Math., Jilin Univ., Changchun, China
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    341
  • Lastpage
    344
  • Abstract
    According to the results on the G1 continuity conditions for two arbitrary degree B-spline surfaces with generally structured knots, this paper analyzes the property of the connecting functions of G1 continuity first, then obtains the necessary and sufficient condition of G2 continuity for two arbitrary degree B-spline surfaces with generally structured knots, meanwhile present a kind of sufficient conditions of G2 continuity. In particular, this paper obtain the uniform smooth conditions for the above G2 sufficient conditions. At the end, this paper give a constructing algorithm and examples for adjacent B-spline surfaces to be of G2 continuity.
  • Keywords
    computational geometry; splines (mathematics); surface fitting; G2 continuity conditions; adjacent B-spline surfaces; arbitrary degree B-spline surfaces; connecting functions; constructing algorithm; necessary conditions; structured knots; sufficient conditions; uniform smooth conditions; Solid modeling; Spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Processing, 2004. Proceedings
  • Print_ISBN
    0-7695-2078-2
  • Type

    conf

  • DOI
    10.1109/GMAP.2004.1290056
  • Filename
    1290056
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2863715