|
|||||
|
|
Inequalities for the Curvature of Curves and Surfaces |
|
| Authors: | Cohen-Steiner Narcowich Herbert Edelsbrunner |
| Affiliation: | (1) Projet Geometrica, INRIA, Sophia-Antipolis, France;(2) Department of Computer Science and Mathematics, Duke University, Durham, North Carolina and Geomagic, Research Triangle Park, North Carolina, USA |
| Abstract: | In this paper we bound the difference between the total mean curvatures of two closed surfaces in  in terms of their total absolute curvatures and the Frechet distance between the volumes they enclose. The proof relies on a combination of methods from algebraic topology and integral geometry. We also bound the difference between the lengths of two curves using the same methods. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |