• DocumentCode
    949567
  • Title

    Intersection of Parametric Surfaces and a Plane

  • Author

    Lee, Randy B. ; Fredricks, David A.

  • Author_Institution
    R.B.Lee & Associates, Rensselaer Polytechnic Institute
  • Volume
    4
  • Issue
    8
  • fYear
    1984
  • Firstpage
    48
  • Lastpage
    51
  • Abstract
    An algorithm is presented for approximating all the intersection curves between a plane and an arbitrary parametric surface patch. This is accomplished by a two-stage recursive procedure that simultaneously generates approximations to the curve(s) in 3-D space and the associated pre-image curve(s) in 2-D parameter space. The algorithm provides an accurate mathematical representation based on a tolerance that can be defined by the particular application.
  • Keywords
    parameter estimation; arbitrary parametric surface patch; intersection curves; parametric surfaces intersection; three-dimensional space; two-dimensional parameter space; two-stage recursive procedure; Equations; Geometry; Image segmentation; Minimax techniques; Minimization methods; Spline; Vectors;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/MCG.1984.276117
  • Filename
    4055895
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=949567