{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T03:44:47Z","timestamp":1783482287612,"version":"3.55.0"},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"04n05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2013,8]]},"abstract":"<jats:p> We introduce a parametrized notion of genericity for Delaunay triangulations which, in particular, implies that the Delaunay simplices of \u03b4-generic point sets are thick. Equipped with this notion, we study the stability of Delaunay triangulations under perturbations of the metric and of the vertex positions. We quantify the magnitude of the perturbations under which the Delaunay triangulation remains unchanged. <\/jats:p>","DOI":"10.1142\/s0218195913600078","type":"journal-article","created":{"date-parts":[[2014,7,9]],"date-time":"2014-07-09T03:05:28Z","timestamp":1404875128000},"page":"303-333","source":"Crossref","is-referenced-by-count":17,"title":["THE STABILITY OF DELAUNAY TRIANGULATIONS"],"prefix":"10.1142","volume":"23","author":[{"given":"JEAN-DANIEL","family":"BOISSONNAT","sequence":"first","affiliation":[{"name":"Geometrica, INRIA Sophia-Antipolis, 2004, route des Lucioles, BP 93, 06902 Sophia-Antipolis, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"RAMSAY","family":"DYER","sequence":"additional","affiliation":[{"name":"Geometrica, INRIA Sophia-Antipolis, 2004, route des Lucioles, BP 93, 06902 Sophia-Antipolis, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"ARIJIT","family":"GHOSH","sequence":"additional","affiliation":[{"name":"Geometrica, INRIA Sophia-Antipolis, 2004, route des Lucioles, BP 93, 06902 Sophia-Antipolis, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2014,7,8]]},"reference":[{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195997000223"},{"issue":"5","key":"p_12","first-page":"1393","volume":"27","author":"Dyer R.","year":"2008","journal-title":"Geometry Processing)"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1145\/355483.355487"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(02)00437-1"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-008-9261-1"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195913600078","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:35:01Z","timestamp":1565181301000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195913600078"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8]]},"references-count":5,"journal-issue":{"issue":"04n05","published-online":{"date-parts":[[2014,7,8]]},"published-print":{"date-parts":[[2013,8]]}},"alternative-id":["10.1142\/S0218195913600078"],"URL":"https:\/\/doi.org\/10.1142\/s0218195913600078","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8]]}}}