\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Approximation of Ridges and Umbilics on Triangulated Surface Meshes

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Bibliographic References

[1]

  F. Cazals and M. Pouget. Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: selected topics. Int. J. of Computational Geometry and Applications, 15(5):511–536, 2005.

[2]

  F. Cazals and M. Pouget. Topology driven algorithms for ridge extraction on meshes. Technical Report RR-5526, INRIA, 2005.

[3]

  P. W. Hallinan, G. Gordon, A.L. Yuille, P. Giblin, and D. Mumford. Two-and Three-Dimensional Patterns of the Face. A.K.Peters, 1999.

[4]

  Yutaka Ohtake, Alexander Belyaev, and Hans-Peter Seidel. Ridge-valley lines on meshes via implicit surface fitting. ACM Trans. Graph., 23(3):609–612, 2004.