{"page":"391 - 404","extern":1,"status":"public","issue":"4","publist_id":"2154","publisher":"Springer","quality_controlled":0,"intvolume":"         7","abstract":[{"text":"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.","lang":"eng"}],"year":"2007","_id":"3973","volume":7,"month":"11","author":[{"first_name":"David","last_name":"Cohen Steiner","full_name":"Cohen-Steiner, David"},{"last_name":"Edelsbrunner","full_name":"Herbert Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert"}],"date_updated":"2021-01-12T07:53:34Z","doi":"10.1007/s10208-005-0200-3","title":"Inequalities for the curvature of curves and surfaces","date_created":"2018-12-11T12:06:12Z","publication_status":"published","day":"01","publication":"Foundations of Computational Mathematics","date_published":"2007-11-01T00:00:00Z","type":"journal_article","citation":{"mla":"Cohen Steiner, David, and Herbert Edelsbrunner. “Inequalities for the Curvature of Curves and Surfaces.” <i>Foundations of Computational Mathematics</i>, vol. 7, no. 4, Springer, 2007, pp. 391–404, doi:<a href=\"https://doi.org/10.1007/s10208-005-0200-3\">10.1007/s10208-005-0200-3</a>.","ieee":"D. Cohen Steiner and H. Edelsbrunner, “Inequalities for the curvature of curves and surfaces,” <i>Foundations of Computational Mathematics</i>, vol. 7, no. 4. Springer, pp. 391–404, 2007.","ama":"Cohen Steiner D, Edelsbrunner H. Inequalities for the curvature of curves and surfaces. <i>Foundations of Computational Mathematics</i>. 2007;7(4):391-404. doi:<a href=\"https://doi.org/10.1007/s10208-005-0200-3\">10.1007/s10208-005-0200-3</a>","ista":"Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404.","short":"D. Cohen Steiner, H. Edelsbrunner, Foundations of Computational Mathematics 7 (2007) 391–404.","apa":"Cohen Steiner, D., &#38; Edelsbrunner, H. (2007). Inequalities for the curvature of curves and surfaces. <i>Foundations of Computational Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s10208-005-0200-3\">https://doi.org/10.1007/s10208-005-0200-3</a>","chicago":"Cohen Steiner, David, and Herbert Edelsbrunner. “Inequalities for the Curvature of Curves and Surfaces.” <i>Foundations of Computational Mathematics</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s10208-005-0200-3\">https://doi.org/10.1007/s10208-005-0200-3</a>."}}