{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T10:56:14Z","timestamp":1753354574158},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p>We study the Hausdorff Voronoi diagram of a set S of polygonal objects in the plane, a generalization of Voronoi diagrams based on the maximum distance of a point from a polygon, and show that it is equivalent to the Voronoi diagram of S under the Hausdorff distance function. We investigate the structural and combinatorial properties of the Hausdorff Voronoi diagram and give a divide and conquer algorithm for the construction of this diagram that improves upon previous results. As a byproduct we introduce the Hausdorff hull, a structure that relates to the Hausdorff Voronoi diagram in the same way as a convex hull relates to the ordinary Voronoi diagram. The Hausdorff Voronoi diagram finds direct application in the problem of computing the critical area of a VLSI Layout, a measure reflecting the sensitivity of a VLSI design to random manufacturing defects, described in a companion paper.<jats:sup>13<\/jats:sup><\/jats:p>","DOI":"10.1142\/s0218195904001536","type":"journal-article","created":{"date-parts":[[2005,3,18]],"date-time":"2005-03-18T14:13:04Z","timestamp":1111155184000},"page":"421-452","source":"Crossref","is-referenced-by-count":25,"title":["THE HAUSDORFF VORONOI DIAGRAM OF POLYGONAL OBJECTS: A DIVIDE AND CONQUER APPROACH"],"prefix":"10.1142","volume":"14","author":[{"given":"EVANTHIA","family":"PAPADOPOULOU","sequence":"first","affiliation":[{"name":"IBM TJ Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. T.","family":"LEE","sequence":"additional","affiliation":[{"name":"Institute of Information Science, Academia Sinica, Nankang, Taipei, Taiwan, ROC"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/PL00009296"},{"key":"rf2","unstructured":"M.\u00a0Abellanas, Abstracts 17th European Workshop Comput. Geom. CG 2001 (Freie Universit\u00e4t Berlin, Berlin, 2001)\u00a0pp. 113\u2013116."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4485(93)90103-U"},{"key":"rf4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03427-9","volume-title":"Computational Geometry, Algorithms and Applications","author":"de Berg M.","year":"1997"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02187733"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02189323"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-7721(99)00007-3"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-52055-4"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/0925-7721(93)90033-3"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/5.52217"},{"key":"rf12","first-page":"151","volume":"18","author":"Ouyang C. H.","journal-title":"IEEE Trans. Computer-Aided Design"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1007\/s00453-004-1095-0"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/43.920683"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/43.752929"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195901000626"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1098-6"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/66.382276"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.1986.1270225"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195904001536","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T11:24:22Z","timestamp":1586172262000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195904001536"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12]]},"references-count":18,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,12]]}},"alternative-id":["10.1142\/S0218195904001536"],"URL":"https:\/\/doi.org\/10.1142\/s0218195904001536","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12]]}}}