• DocumentCode
    3495414
  • Title

    Analysis of conversion matrix between geometrically continuous splines and Bezier representation

  • Author

    Luhong Diao ; Sen Zhang ; Lei Liu ; Hua Li ; Lin, Zongkai

  • Author_Institution
    Coll. of Appl. Sci., Beijing Univ. of Technol., Beijing, China
  • fYear
    2010
  • fDate
    1-3 Dec. 2010
  • Abstract
    The conversion matrix between Beta-spline basis functions and Bézier representation is analyzed in this paper. Based on it, calculation of arbitrary degree Beta-spline basis functions can be translated into a solution of linear system of equations. The construction of Beta-spline is simplified greatly, which made it more suitable for implement in pervasive computing.
  • Keywords
    computational geometry; matrix algebra; ubiquitous computing; Beta-spline basis functions; Bezier representation; conversion matrix analysis; geometrically continuous splines; pervasive computing; Computers; Design automation; Mathematical model; Polynomials; Shape; Spline; Bezier Basis Functions; Conversion Matrix; Geometric Continuity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Pervasive Computing and Applications (ICPCA), 2010 5th International Conference on
  • Conference_Location
    Maribor
  • Print_ISBN
    978-1-4244-9144-5
  • Type

    conf

  • DOI
    10.1109/ICPCA.2010.5871345
  • Filename
    5871345