• DocumentCode
    495676
  • Title

    G2 Connection of Bézier Patches around a Common Corner

  • Author

    Meng, Qingxian ; Liu, Huili

  • Author_Institution
    Dept. of Math., Northeastern Univ., Shenyang, China
  • Volume
    1
  • fYear
    2009
  • fDate
    March 31 2009-April 2 2009
  • Firstpage
    694
  • Lastpage
    697
  • Abstract
    In computer aided geometric design Bezier patches are usually used to approximate practical surfaces. In this paper, we divide the conditions of curvature continuity connection for Bezier surfaces into three groups and analyze them respectively. Through the analysis two methods for curvature continuity connection of Bezier surfaces around a common corner are presented on the conditions that all the betai ne 0 and only two betai = 0 respectively.
  • Keywords
    approximation theory; computational geometry; curve fitting; surface fitting; Bezier surface approximation; G2 Bezier patch connection; common corner; computer aided geometric design; curvature continuity connection; Computer science; Equations; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Information Engineering, 2009 WRI World Congress on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-0-7695-3507-4
  • Type

    conf

  • DOI
    10.1109/CSIE.2009.153
  • Filename
    5171262