Curvatures of Smooth and Discrete Surfaces

We discuss notions of Gauss curvature and mean curvature for polyhedral surfaces. The discretizations are guided by the principle of preserving integral relations for curvatures, like the Gauss/Bonnet theorem and the mean-curvature force balance equation.

Saved in:
Bibliographic Details
Main Author Sullivan, John M
Format Journal Article
LanguageEnglish
Published 24.10.2007
Subjects
Mathematics - Differential Geometry
Mathematics - Metric Geometry
Online AccessGet full text

Cover

More Information
Summary:We discuss notions of Gauss curvature and mean curvature for polyhedral surfaces. The discretizations are guided by the principle of preserving integral relations for curvatures, like the Gauss/Bonnet theorem and the mean-curvature force balance equation.
DOI:10.48550/arxiv.0710.4497