Restricted delaunay triangulations and normal cycle
Top Cited Papers
- 8 June 2003
- proceedings article
- Published by Association for Computing Machinery (ACM)
- p. 312-321
- https://doi.org/10.1145/777792.777839
Abstract
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 restricted Delaunay triangulations.Keywords
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