Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines

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. Keywords Discrete curvatures

• Type: Journal
• Year: 2010
• Where: DCG
• Authors: Ulrich Bauer, Konrad Polthier, Max Wardetzky
• Keywords: Curvature Lines, DCG 2010, Discrete Curvatures, Smooth Limit Surface