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CVIU
2007

A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data

8 years 8 months ago
A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data
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, and industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Four different algorithms and their modifications were tested on triangular meshes that represent tessellations 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 from which these meshes originated. The algorithms were also tested on range images of geometric objects. The results were compared with the analytic values of the Gaussian and mean curvatures of the scanned geometric objects. This work manifests the best algorithms suited for Gaussian and mean curvature estimation, and ...
Evgeni Magid, Octavian Soldea, Ehud Rivlin
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CVIU
Authors Evgeni Magid, Octavian Soldea, Ehud Rivlin
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