Curvature approximation for triangulated surfaces

  • Hamann B
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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.

Author-supplied keywords

  • approximation
  • curvature
  • surface
  • triangulation

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Authors

  • Bernd Hamann

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