Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines
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- Bauer, U., Polthier, K. & Wardetzky, M. Discrete Comput Geom (2010) 43: 798. doi:10.1007/s00454-009-9237-4
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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.