• DocumentCode
    3383094
  • Title

    A method for constructing G1 continuous splines via matrix decomposition

  • Author

    Diao, Luhong ; Hua Lia ; Li, Zongmin

  • Author_Institution
    Chinese Acad. of Sci., Inst. of Comput. Technol., Beijing, China
  • fYear
    2005
  • fDate
    7-10 Dec. 2005
  • Abstract
    Analysis of transforming matrices between Bezier basis functions and geometrically continuous basis functions is presented. It is shown that G2 transforming matrix has some relationship with G1 transforming matrix. Based on this relationship a method of calculating G1 basis functions is introduced, the degree of which is higher than quadratic. These basis functions are expressed explicitly via matrices decomposition. Equations for constructing G2 splines can be presented independently of geometric shape parameters´ values.
  • Keywords
    computational geometry; matrix decomposition; splines (mathematics); Bezier basis functions; G1 basis functions; G1 continuous splines; G1 transforming matrix; G2 transforming matrix; geometrically continuous basis functions; matrix decomposition; spline basis functions; Computers; Educational institutions; Equations; Graphics; Information processing; Matrix decomposition; Polynomials; Shape control; Spline; Sun;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on
  • Print_ISBN
    0-7695-2473-7
  • Type

    conf

  • DOI
    10.1109/CAD-CG.2005.6
  • Filename
    1604611
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3383094