Geodesic
Face-based Estimations of Curvatures on Triangle Meshes
Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 63-73 Cet article a éte moissonné depuis la source Heldermann Verlag

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Face-based curvature estimations on triangle meshes are presented. One method is based on the definition of osculating circles in normal planes, the other one directly on the definition of the curvature of curves. The regions of computation are disk neighborhoods with user specified radius constructed around each triangle of the mesh. The examples show reliable results in the estimation of the principal directions and of the selection of umbilical, flat, elliptic, hyperbolic and parabolic regions of the mesh also in such cases where vertex-based methods cannot be applied.
Classification : 68U05, 68U07, 65020
Mots-clés : Triangle mesh, curvature, surface approximation 
@article{JGG_2008_12_1_JGG_2008_12_1_a5,
     author = {M. Szilv�si-Nagy },
     title = {Face-based {Estimations} of {Curvatures} on {Triangle} {Meshes}},
     journal = {Journal for geometry and graphics},
     pages = {63--73},
     year = {2008},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a5/}
}
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M. Szilv�si-Nagy . Face-based Estimations of Curvatures on Triangle Meshes. Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 63-73. http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a5/