Uniform convergence of discrete curvatures from nets of curvature lines

Details Uniform convergence of discrete curvatures from nets of curvature lines Uniform convergence of discrete curvatures from nets of curvature lines

2009-01-19

arxiv.org/abs/0901.2822v2

Discrete and Computational Geometry, 2010

Mathematics

Differential Geometry

21 pages, 8 figures

Scientific paper

10.1007/s00454-009-9237-4

We study discrete curvatures computed from nets of curvature lines on a given
smooth surface, and prove their uniform convergence to smooth principal
curvatures. We provide explicit error bounds, with constants depending only on
properties of the smooth limit surface and the shape regularity of the discrete
net.

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