{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,9]],"date-time":"2025-04-09T16:50:15Z","timestamp":1744217415022},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1992,9]]},"abstract":"<jats:p> We present a fully dynamic data structure for point location in a monotone subdivision, based on the trapezoid method. The operations supported are insertion and deletion of vertices and edges, and horizontal translation of vertices. Let n be the current number of vertices of the subdivision. Point location queries take O( log n) time, while updates take O ( log <jats:sup>2<\/jats:sup> n) time (amortized for vertex insertion\/deletion and worst-case for the other updates). The space requirement is O(n log n). This is the first fully dynamic point location data structure for monotone subdivisions that achieves optimal query time. <\/jats:p>","DOI":"10.1142\/s0218195992000184","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T00:50:24Z","timestamp":1101343824000},"page":"311-333","source":"Crossref","is-referenced-by-count":11,"title":["DYNAMIZATION OF THE TRAPEZOID METHOD FOR PLANAR POINT LOCATION IN MONOTONE SUBDIVISIONS"],"prefix":"10.1142","volume":"02","author":[{"given":"YI-JEN","family":"CHIANG","sequence":"first","affiliation":[{"name":"Department of Computer Science, Brown University, Providence, R.I. 02912\u20131910, U.S.A."}]},{"given":"ROBERTO","family":"TAMASSIA","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Brown University, Providence, R.I. 02912\u20131910, U.S.A."}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195992000184","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:57:06Z","timestamp":1565189826000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195992000184"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1992,9]]}},"alternative-id":["10.1142\/S0218195992000184"],"URL":"https:\/\/doi.org\/10.1142\/s0218195992000184","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}