
Title  Curvature Approximation for Triangulated Surfaces
(In Book) 
in  Geometric Modelling, Computing Suppl. 
Author(s) 
Bernd Hamann 
Editor(s) 
Gerald Farin, Hans Hagen, H. Noltemeier 
Keyword(s)  Approximation, curvature, GaussWeingarten map. platelet, surface, triangulation 
Year 
1993

Number  8 
Publisher  SpringerVerlag 
Pages  139153 
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BibTeX  
Abstract 
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.
