Curvatures of Smooth and Discrete Surfaces
arXiv:0710.4497
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.
14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008