Curvatures of Smooth and Discrete Surfaces

Details Curvatures of Smooth and Discrete Surfaces Curvatures of Smooth and Discrete Surfaces

2007-10-24

arxiv.org/abs/0710.4497v1

Mathematics

Differential Geometry

14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008

Scientific paper

We discuss notions of Gauss curvature and mean curvature for polyhedral
surfaces. The discretizations are guided by the principle of preserving
integral relations for curvatures, like the Gauss/Bonnet theorem and the
mean-curvature force balance equation.

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