[{"extern":1,"abstract":[{"lang":"eng"}],"publist_id":"2154","issue":"4","type":"journal_article","dini_type":"doc-type:article","date_created":"2018-12-11T12:06:12Z","date_updated":"2021-01-12T07:53:34Z","volume":7,"author":[{"first_name":"David","last_name":"Cohen Steiner"},{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert"}],"status":"public","publication_status":"published","intvolume":" 7","_id":"3973","month":"11","day":"01","uri_base":"https://research-explorer.ista.ac.at","dc":{"creator":["Cohen-Steiner, David","Herbert Edelsbrunner"],"identifier":["https://research-explorer.ista.ac.at/record/3973"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"description":["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."],"date":["2007"],"source":["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"],"rights":["info:eu-repo/semantics/closedAccess"],"title":["Inequalities for the curvature of curves and surfaces"],"publisher":["Springer"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/s10208-005-0200-3"]},"date_published":"2007-11-01T00:00:00Z","quality_controlled":0,"page":"391 - 404","publication":"Foundations of Computational Mathematics","citation":{"chicago":"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.","short":"D. Cohen Steiner, H. Edelsbrunner, Foundations of Computational Mathematics 7 (2007) 391–404.","mla":"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.","apa":"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","ieee":"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.","ista":"Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404."}}]