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Journal for Geometry and Graphics 12 (2008), No. 1, 063--073
Copyright Heldermann Verlag 2008

Face-based Estimations of Curvatures on Triangle Meshes

Márta Szilvási-Nagy
Dept. of Geometry, Univ. of Technology and Economics, 1521 Budapest, Hungary

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.

Keywords: Triangle mesh, curvature, surface approximation.

MSC: 68U05; 68U07, 65020

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