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titleA Comparison of Gaussian and Mean Curvatures Estimation Methods on Triangular Meshes
authorsTatiana Surazhsky, Evgeny Magid, Octavian Soldea, Gershon Elber, Ehud Rivlin
keywordsGeometric modeling, principal curvatures, Gaussian curva- ture, total curvature, mean curvature, polygonal mesh, tri- angular mesh, range data
abstractEstimating 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 modi cations 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.
typeConference Paper
journalInternational Conference on Robotics and Automation (ICRA2003), Taipei, Taiwan, pp. 1021-1026, 14-19 September, 2003
published year2003
(Total records:1429)
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