Curvatures of Smooth and Discrete Surfaces
Differential Geometry
2007-10-25 v1 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0710.4497,
title = {Curvatures of Smooth and Discrete Surfaces},
author = {John M. Sullivan},
journal= {arXiv preprint arXiv:0710.4497},
year = {2007}
}
Comments
14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008