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Approximation of the Curvature Measures of a Smooth Surface endowed with a Mesh

David Cohen-Steiner 1 Jean-Marie Morvan
1 PRISME - Geometry, Algorithms and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : This report deals with the approximation of a smooth surface M by a triangulated mesh T. We give an explicit bound on the difference of the curvature measures of M and the curvature measures of T, when T is close to M. The result is obtained by applying the theory of the normal cycle.
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Submitted on : Tuesday, May 23, 2006 - 6:35:42 PM
Last modification on : Friday, February 4, 2022 - 3:16:23 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:34:45 PM

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David Cohen-Steiner, Jean-Marie Morvan. Approximation of the Curvature Measures of a Smooth Surface endowed with a Mesh. RR-4867, INRIA. 2003. ⟨inria-00071716⟩

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