Inequalities for the curvature of curves and surfaces
Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404.
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Journal Article
| Published
Author
Cohen-Steiner, David;
Edelsbrunner, HerbertISTA 
Abstract
In this paper we bound the difference between the total mean curvatures of two closed surfaces in R-3 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.
Publishing Year
Date Published
2007-11-01
Journal Title
Foundations of Computational Mathematics
Volume
7
Issue
4
Page
391 - 404
IST-REx-ID
Cite this
Cohen Steiner D, Edelsbrunner H. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 2007;7(4):391-404. doi:10.1007/s10208-005-0200-3
Cohen Steiner, D., & Edelsbrunner, H. (2007). Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. Springer. https://doi.org/10.1007/s10208-005-0200-3
Cohen Steiner, David, and Herbert Edelsbrunner. “Inequalities for the Curvature of Curves and Surfaces.” Foundations of Computational Mathematics. Springer, 2007. https://doi.org/10.1007/s10208-005-0200-3.
D. Cohen Steiner and H. Edelsbrunner, “Inequalities for the curvature of curves and surfaces,” Foundations of Computational Mathematics, vol. 7, no. 4. Springer, pp. 391–404, 2007.
Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404.
Cohen Steiner, David, and Herbert Edelsbrunner. “Inequalities for the Curvature of Curves and Surfaces.” Foundations of Computational Mathematics, vol. 7, no. 4, Springer, 2007, pp. 391–404, doi:10.1007/s10208-005-0200-3.
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