• DocumentCode
    1912853
  • Title

    Geodesic Bezier Curves: a Tool for Modeling on Triangulations

  • Author

    Morera, Dimas Martínez ; Carvalho, Paulo Cezar ; Velho, Luiz

  • Author_Institution
    Inst. Nacional de Matematica Pura e Aplicada - IMPA, Rio de Janeiro
  • fYear
    2007
  • fDate
    7-10 Oct. 2007
  • Firstpage
    71
  • Lastpage
    78
  • Abstract
    We define a new class of curves, called geodesic Bezier curves, that are suitable for modeling on manifold triangulations. As a natural generalization of Bezier curves, the new curves are as smooth as possible. We discuss the construction of C0 and C1 piecewise Bezier splines. We also describe how to perform editing operations, such as trimming, using these curves. Special care is taken to achieve interactive rates for modeling tasks.
  • Keywords
    computational geometry; differential geometry; splines (mathematics); geodesic Bezier curves; manifold triangulations; piecewise Bezier splines; Algorithm design and analysis; Computer graphics; Geometry; Geophysics computing; Image processing; Solid modeling; Spline; Casteljau Algorithm; Discrete Geodesic; Free-Form Design.; Geodesic Bezier Curve; Spline Curves; de;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Graphics and Image Processing, 2007. SIBGRAPI 2007. XX Brazilian Symposium on
  • Conference_Location
    Minas Gerais
  • ISSN
    1530-1834
  • Print_ISBN
    978-0-7695-2996-7
  • Type

    conf

  • DOI
    10.1109/SIBGRAPI.2007.38
  • Filename
    4368170
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1912853