|Title||Curvature Approximation for Triangulated Surfaces
(In Book) |
|in||Geometric Modelling, Computing Suppl.|
Bernd Hamann |
Gerald Farin, Hans Hagen, H. Noltemeier |
|Keyword(s)||Approximation, curvature, Gauss-Weingarten map. platelet, surface, triangulation|
Given a set of points, and normals on a surface and triangulation associated with them a simple scheme for approximating the principal curvatures at these points is developed. The approximation is based on the fact that a surface can locally be represented as the graph of a bivariate function. Quadratic polynomials are used for this local approximation. The principal curvatures at the point on the graph of such a quadratic polynomial is used as the approximation of the principal curvatures at the original surface point.