{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T19:10:15Z","timestamp":1783451415429,"version":"3.55.0"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1137\/040617364","type":"journal-article","created":{"date-parts":[[2006,2,24]],"date-time":"2006-02-24T02:00:22Z","timestamp":1140746422000},"page":"102-119","source":"Crossref","is-referenced-by-count":247,"title":["Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations"],"prefix":"10.1137","volume":"44","author":[{"given":"Qiang","family":"Du","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maria","family":"Emelianenko","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lili","family":"Ju","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","reference":[{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-8711.2003.06541.x"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015817"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1109\/TRA.2004.824698"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144599352836"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(01)00260-0"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(01)00327-9"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(03)00394-3"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827501391576"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903425410"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1002\/nme.616"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827503428527"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(02)00165-7"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(80)90313-7"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1109\/18.720541"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2003.07.017"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.2307\/2346830"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1145\/965145.801294"},{"key":"R29","doi-asserted-by":"publisher","DOI":"10.1111\/1467-8659.00699"},{"key":"R30","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8191(02)00151-5"},{"key":"R31","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1017616"},{"key":"R32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1983.1056622"},{"key":"R33","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-52055-4"},{"key":"R34","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1980.1094577"},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056489"},{"key":"R37","volume-title":"Linear and nonlinear programming","author":"Luenberger David","year":"2003"},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1111\/j.1475-3995.2004.00436.x"},{"key":"R40","doi-asserted-by":"publisher","DOI":"10.1109\/78.709539"},{"key":"R41","volume-title":"Spatial tessellations: concepts and applications of Vorono diagrams","author":"Okabe Atsuyuki","year":"1992"},{"key":"R42","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057168"},{"key":"R43","doi-asserted-by":"publisher","DOI":"10.1109\/18.243437"},{"key":"R44","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2004.00769.x"},{"key":"R45","doi-asserted-by":"publisher","DOI":"10.1046\/j.1369-7412.2003.05285.x"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040617364","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,1,29]],"date-time":"2017-01-29T15:52:23Z","timestamp":1485705143000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/040617364"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/040617364"],"URL":"https:\/\/doi.org\/10.1137\/040617364","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}