[{"day":"01","month":"06","uri_base":"https://research-explorer.ista.ac.at","dc":{"description":["The main result of this paper is an extension of de Silva's Weak Delaunay Theorem to smoothly embedded curves and surfaces in Euclidean space. Assuming a sufficiently fine sampling, we prove that i + 1 points in the sample span an i-simplex in the restricted Delaunay triangulation iff every subset of the i + 1 points has a weak witness."],"type":["info:eu-repo/semantics/conferenceObject","doc-type:conferenceObject","text","http://purl.org/coar/resource_type/c_5794"],"identifier":["https://research-explorer.ista.ac.at/record/3561"],"creator":["Attali, Dominique","Herbert Edelsbrunner","Mileyko, Yuriy"],"title":["Weak witnesses for Delaunay triangulations of submanifolds"],"publisher":["ACM"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1145/1236246.1236267"],"rights":["info:eu-repo/semantics/openAccess"],"source":["Attali D, Edelsbrunner H, Mileyko Y. Weak witnesses for Delaunay triangulations of submanifolds. In: ACM; 2007:143-150. doi:10.1145/1236246.1236267"],"date":["2007"]},"conference":{"name":"SPM: Symposium on Solid and Physical Modeling"},"date_published":"2007-06-01T00:00:00Z","quality_controlled":0,"page":"143 - 150","main_file_link":[{"url":"https://hal.archives-ouvertes.fr/hal-00201055","open_access":"1"}],"oa":1,"citation":{"apa":"Attali, D., Edelsbrunner, H., & Mileyko, Y. (2007). Weak witnesses for Delaunay triangulations of submanifolds (pp. 143–150). Presented at the SPM: Symposium on Solid and Physical Modeling, ACM. https://doi.org/10.1145/1236246.1236267","ieee":"D. Attali, H. Edelsbrunner, and Y. Mileyko, “Weak witnesses for Delaunay triangulations of submanifolds,” presented at the SPM: Symposium on Solid and Physical Modeling, 2007, pp. 143–150.","ista":"Attali D, Edelsbrunner H, Mileyko Y. 2007. Weak witnesses for Delaunay triangulations of submanifolds. SPM: Symposium on Solid and Physical Modeling, 143–150.","chicago":"Attali, Dominique, Herbert Edelsbrunner, and Yuriy Mileyko. “Weak Witnesses for Delaunay Triangulations of Submanifolds,” 143–50. ACM, 2007. https://doi.org/10.1145/1236246.1236267.","short":"D. Attali, H. Edelsbrunner, Y. Mileyko, in:, ACM, 2007, pp. 143–150.","mla":"Attali, Dominique, et al. Weak Witnesses for Delaunay Triangulations of Submanifolds. ACM, 2007, pp. 143–50, doi:10.1145/1236246.1236267."},"extern":1,"abstract":[{"lang":"eng"}],"publist_id":"2824","type":"conference","dini_type":"doc-type:conferenceObject","date_updated":"2021-01-12T07:44:19Z","date_created":"2018-12-11T12:03:58Z","author":[{"last_name":"Attali","first_name":"Dominique"},{"first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833"},{"first_name":"Yuriy","last_name":"Mileyko"}],"status":"public","publication_status":"published","_id":"3561"}]