Restricted delaunay triangulations and normal cycle

  title={Restricted delaunay triangulations and normal cycle},
  author={David Cohen-Steiner and Jean-Marie Morvan},
  booktitle={Symposium on Computational Geometry},
We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhedral surfaces. This definition consists in a very simple and new formula. When applied to a polyhedral approximation of a smooth surface, it yields an efficient and reliable curvature estimation algorithm. Moreover, we bound the difference between the estimated curvature and the one of the smooth surface in the case of… CONTINUE READING
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