{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,2]],"date-time":"2023-02-02T14:56:18Z","timestamp":1675349778699},"reference-count":2,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2007,8]]},"abstract":"<jats:p> Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering information as q moves. In linear space, and after O(n log n) preprocessing time, our solution maintains the view at a cost of O( log n) amortized time (resp.O( log <jats:sup>2<\/jats:sup> n) worst case time) for each change. Our algorithm can also be used to maintain the set of points sorted according to their distance to q . <\/jats:p>","DOI":"10.1142\/s0218195907002343","type":"journal-article","created":{"date-parts":[[2007,8,21]],"date-time":"2007-08-21T09:39:24Z","timestamp":1187689164000},"page":"297-304","source":"Crossref","is-referenced-by-count":2,"title":["MAINTAINING VISIBILITY INFORMATION OF PLANAR POINT SETS WITH A MOVING VIEWPOINT"],"prefix":"10.1142","volume":"17","author":[{"given":"OLIVIER","family":"DEVILLERS","sequence":"first","affiliation":[{"name":"INRIA, 2004 route des Lucioles, BP 93, 06902 Sophia-Antipolis cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"VIDA","family":"DUJMOVI\u0106","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics McGill University, Burnside Hall, Room 1005 805 Sherbrooke W, Montreal QC, H3A 2K6, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HAZEL","family":"EVERETT","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Nancy 2, UFR Math\u00e9matiques et Informatique, 13 rue Michel Ney, case officielle 75, 54037 Nancy cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SAMUEL","family":"HORNUS","sequence":"additional","affiliation":[{"name":"ARTIS - Laboratoire GRAVIR, INRIA Rh\u00f4ne-Alpes - ZIRST, 655 avenue de l'Europe, 38334 Saint Ismier Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SUE","family":"WHITESIDES","sequence":"additional","affiliation":[{"name":"School of Computer Science, McGill University, 318-3480 University St., Montreal, Quebec H3A 2A7, Montreal QC, H3A 2K6, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"STEVE","family":"WISMATH","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Dr., Lethbridge, Alberta, Canada T1K-3M4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(89)90038-X"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(81)90012-X"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195907002343","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:30:01Z","timestamp":1565137801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195907002343"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8]]},"references-count":2,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,8]]}},"alternative-id":["10.1142\/S0218195907002343"],"URL":"https:\/\/doi.org\/10.1142\/s0218195907002343","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8]]}}}