DETECTION OF DEGENERATE NORMAL VECTORS ON PARAMETRIC SURFACES - TANGENT CONE APPROACH

Authors
KIM DS PAPALAMBROS PY
Citation
Ds. Kim et Py. Papalambros, DETECTION OF DEGENERATE NORMAL VECTORS ON PARAMETRIC SURFACES - TANGENT CONE APPROACH, Computer aided geometric design, 12(3), 1995, pp. 321-327
Citations number
5
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
12
Issue
3
Year of publication
1995
Pages
321 - 327
Database
ISI
SICI code
0167-8396(1995)12:3<321:DODNVO>2.0.ZU;2-5
Abstract
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.