• DocumentCode
    2863353
  • Title

    Bivariate cubic spline space and bivariate cubic NURBS surfaces

  • Author

    Li, Chong-Jun ; Wang, Ren-Hong

  • Author_Institution
    Inst. of Math. Sci., Dalian Univ. of Technol., China
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    115
  • Lastpage
    123
  • Abstract
    In this paper, we study the bivariate cubic spline space S32,1 (Δmn(2)) and construct a kind of bivariate cubic NURBS surfaces by using the bivariate B-spline bases in S32,1 (Δmn(2)). Compared with the bicubic NURBS surfaces, this kind of bivariate NURBS surfaces are non-tensor product surfaces on the type-2 triangulation with many good properties.
  • Keywords
    computational geometry; splines (mathematics); surface fitting; bivariate cubic NURBS surfaces; bivariate cubic spline space; nontensor product surfaces; smoothing cofactor-conformality method; type-2 triangulation; Polynomials; Smoothing methods; Solid modeling; Space technology; Spline; Surface reconstruction; Surface topography; Tensile stress;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Processing, 2004. Proceedings
  • Print_ISBN
    0-7695-2078-2
  • Type

    conf

  • DOI
    10.1109/GMAP.2004.1290033
  • Filename
    1290033
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2863353