• search hit 2 of 3
Back to Result List

On the convergence of metric and geometric properties of polyhedral surfaces

Please always quote using this URN:urn:nbn:de:0296-matheon-2733
  • We provide conditions for convergence of polyhedral surfaces and their discrete geometric properties to smooth surfaces embedded in R^3. The notion of totally normal convergence is shown to be equivalent to the convergence of either one of the following: surface area, intrinsic metric, and Laplace-Beltrami operators. We further show that totally normal convergence implies convergence results for shortest geodesics, mean curvature, and solutions to the Dirichlet problem. This work provides the justifi- cation for a discrete theory of differential geometric operators defined on polyhedral surfaces based on a variational formulation.

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Klaus A. Hildebrandt, Konrad Polthier, Max Wardetzky
URN:urn:nbn:de:0296-matheon-2733
Referee:Konrad Polthier
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2005/06/11
Release Date:2005/10/26
Institute:Freie Universität Berlin
Preprint Number:282
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.