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2003
IEEE

A comparison of Gaussian and mean curvatures estimation methods on triangular meshes

9 years 1 months ago
A comparison of Gaussian and mean curvatures estimation methods on triangular meshes
Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robot vision, computer graphics, geometric modeling, industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Five different algorithms and their modifications were tested on triangular meshes that represent tesselations of synthetic geometric models. The results were compared with the analytically computed values of the Gaussian and mean curvatures of the non uniform rational B-spline (NURBs) surfaces, these meshes originated from. This work manifests the best algorithms suited for total (Gaussian) and mean curvature estimation, and shows that indeed different alogrithms should be employed to compute the Gaussian and mean curvatures. Keywords Geometric modeling, principal curvatures, Gaussian curvature, total curvature, m...
Tatiana Surazhsky, Evgeni Magid, Octavian Soldea,
Added 04 Jul 2010
Updated 04 Jul 2010
Type Conference
Year 2003
Where ICRA
Authors Tatiana Surazhsky, Evgeni Magid, Octavian Soldea, Gershon Elber, Ehud Rivlin
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