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.
Original language | English (US) |
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Pages | 312-321 |
Number of pages | 10 |
DOIs | |
State | Published - 2003 |
Externally published | Yes |
Event | Nineteenth Annual Symposium on Computational Geometry - san Diego, CA, United States Duration: Jun 8 2003 → Jun 10 2003 |
Other
Other | Nineteenth Annual Symposium on Computational Geometry |
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Country/Territory | United States |
City | san Diego, CA |
Period | 06/8/03 → 06/10/03 |
Keywords
- Curvature
- Geometric measure theory
- Mesh
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Computational Mathematics