Detection of degenerate normal vectors on parametric surfaces: Tangent cone approach

نویسندگان

  • Deok-Soo Kim
  • Panos Y. Papalambros
چکیده

Normal vectors of a surface are essential in various geometry-related applications. Since a normal vector at a point on a parametric surface is computed by a cross product of two tangent vectors at the point, a regular parametric surface may possess a degenerate normal vector at a point when tangent vectors of the surface are linearly dependent at the point. This paper describes an algorithm which tests if a regular parametric surface does not possess such a degenerate normal vector.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 12  شماره 

صفحات  -

تاریخ انتشار 1995