{"id":"https://openalex.org/W2029439570","doi":"https://doi.org/10.1007/pl00009234","title":"A Note on Point Location in Delaunay Triangulations of Random Points","display_name":"A Note on Point Location in Delaunay Triangulations of Random Points","publication_year":1998,"publication_date":"1998-12-01","ids":{"openalex":"https://openalex.org/W2029439570","doi":"https://doi.org/10.1007/pl00009234","mag":"2029439570"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009234","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009234","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070394029","display_name":"Luc Devroye","orcid":"https://orcid.org/0009-0001-4330-8991"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L. Devroye","raw_affiliation_strings":["School of Computer Science, McGill University,   Montreal, Quebec, Canada H3A 2A7., , , , , , CA","School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7., CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University,   Montreal, Quebec, Canada H3A 2A7., , , , , , CA","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7., CA","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014798548","display_name":"Ernst P. M\u00fccke","orcid":null},"institutions":[{"id":"https://openalex.org/I21160419","display_name":"Ansys (United States)","ror":"https://ror.org/05cf5b117","country_code":"US","type":"company","lineage":["https://openalex.org/I21160419"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. P. M\u00fccke","raw_affiliation_strings":["ANSYS, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA., , , , , , US","ANSYS, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA., US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ANSYS, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA., , , , , , US","institution_ids":["https://openalex.org/I21160419"]},{"raw_affiliation_string":"ANSYS, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA., US","institution_ids":["https://openalex.org/I21160419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070925973","display_name":"Binhai Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Binhai Zhu","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong., , , , , , HK","Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong., HK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong., , , , , , HK","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong., HK","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":3.2603,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.91031653,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"22","issue":"4","first_page":"477","last_page":"482"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.9607356786727905},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.821169912815094},{"id":"https://openalex.org/keywords/pitteway-triangulation","display_name":"Pitteway triangulation","score":0.8005883097648621},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.7094439268112183},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.6761201620101929},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.6696783900260925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5783263444900513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.544864296913147},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5171355605125427},{"id":"https://openalex.org/keywords/minimum-weight-triangulation","display_name":"Minimum-weight triangulation","score":0.49917006492614746},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4914666414260864},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48898422718048096},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.48548272252082825},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.46762117743492126},{"id":"https://openalex.org/keywords/point-location","display_name":"Point location","score":0.4322056770324707},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4095286428928375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.382895827293396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32374870777130127},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11885252594947815},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10678514838218689}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.9607356786727905},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.821169912815094},{"id":"https://openalex.org/C178609930","wikidata":"https://www.wikidata.org/wiki/Q3538712","display_name":"Pitteway triangulation","level":3,"score":0.8005883097648621},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.7094439268112183},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6761201620101929},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.6696783900260925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5783263444900513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.544864296913147},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5171355605125427},{"id":"https://openalex.org/C39969762","wikidata":"https://www.wikidata.org/wiki/Q6865406","display_name":"Minimum-weight triangulation","level":4,"score":0.49917006492614746},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4914666414260864},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48898422718048096},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.48548272252082825},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.46762117743492126},{"id":"https://openalex.org/C186750021","wikidata":"https://www.wikidata.org/wiki/Q7208210","display_name":"Point location","level":3,"score":0.4322056770324707},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4095286428928375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.382895827293396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32374870777130127},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11885252594947815},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10678514838218689},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/pl00009234","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009234","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.8612","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.8612","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-cgrl.cs.mcgill.ca/~luc/devroye_mucke_zhu_1998_a_note_on_point_location_in_delaunay_triangulations_of_random_points.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1788997585","https://openalex.org/W1969568644","https://openalex.org/W1982483258","https://openalex.org/W1991064236","https://openalex.org/W2004138302","https://openalex.org/W2007610503","https://openalex.org/W2052165970","https://openalex.org/W2062766966","https://openalex.org/W2065973215","https://openalex.org/W2092924973","https://openalex.org/W2144793572","https://openalex.org/W2583760243","https://openalex.org/W2733827376","https://openalex.org/W2752885492"],"related_works":["https://openalex.org/W2350914983","https://openalex.org/W109258179","https://openalex.org/W4302417997","https://openalex.org/W1483219455","https://openalex.org/W2001351033","https://openalex.org/W113718658","https://openalex.org/W1996934342","https://openalex.org/W1972369894","https://openalex.org/W149465645","https://openalex.org/W2381084059"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":7}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}