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Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines

Please always quote using this URN:urn:nbn:de:0296-matheon-7375
  • 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.
Metadaten
Author:Ulrich Bauer, Konrad Polthier, Max Wardetzky
URN:urn:nbn:de:0296-matheon-7375
Referee:John M. Sullivan
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/11/24
Release Date:2010/11/18
Institute:Freie Universität Berlin
Preprint Number:748
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