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.
CITATION STYLE
Hamann, B. (1993). Curvature Approximation for Triangulated Surfaces (pp. 139–153). https://doi.org/10.1007/978-3-7091-6916-2_10
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