{"id":"https://openalex.org/W2060475099","doi":"https://doi.org/10.1016/s0167-8396(97)00013-7","title":"Characterizing and efficiently computing quadrangulations of planar point sets","display_name":"Characterizing and efficiently computing quadrangulations of planar point sets","publication_year":1997,"publication_date":"1997-10-01","ids":{"openalex":"https://openalex.org/W2060475099","doi":"https://doi.org/10.1016/s0167-8396(97)00013-7","mag":"2060475099"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(97)00013-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(97)00013-7","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","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/A5013674788","display_name":"Prosenjit Bose","orcid":"https://orcid.org/0000-0002-8906-0573"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Prosenjit Bose","raw_affiliation_strings":["Department of Computer Science, University of British Columbia, 201-2366 Main Mall, Vancouver, British Columbia, V6T 1Z4, Canada","Department of Computer Science University of British Columbia 201\u20102366 Main Mall Vancouver British Columbia V6T 1Z4 Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of British Columbia, 201-2366 Main Mall, Vancouver, British Columbia, V6T 1Z4, Canada","institution_ids":["https://openalex.org/I141945490"]},{"raw_affiliation_string":"Department of Computer Science University of British Columbia 201\u20102366 Main Mall Vancouver British Columbia V6T 1Z4 Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110237968","display_name":"Godfried Toussaint","orcid":"https://orcid.org/0009-0008-7801-7212"},"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":"Godfried Toussaint","raw_affiliation_strings":["School of Computer Science, McGill University, 3480 University, Montr\u00e9al, Qu\u00e9bec H3A 2A7, Canada","School of Computer Science, McGill University, 3480 University, Montr\u00e9al, Qu\u00e9bec, H3A 2A7 Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, 3480 University, Montr\u00e9al, Qu\u00e9bec H3A 2A7, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"School of Computer Science, McGill University, 3480 University, Montr\u00e9al, Qu\u00e9bec, H3A 2A7 Canada#TAB#","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013674788"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.729,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.71145374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"8","first_page":"763","last_page":"785"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9008959531784058},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7554035782814026},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7145848274230957},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6233914494514465},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5706115365028381},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5182256698608398},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4998626708984375},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4997563362121582},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.46343713998794556},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.45839202404022217},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.45737671852111816},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44981980323791504},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35987740755081177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20562738180160522}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9008959531784058},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7554035782814026},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7145848274230957},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6233914494514465},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5706115365028381},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5182256698608398},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4998626708984375},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4997563362121582},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.46343713998794556},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.45839202404022217},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.45737671852111816},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44981980323791504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35987740755081177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20562738180160522},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0167-8396(97)00013-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(97)00013-7","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Aided Geometric Design","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.119.1993","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.119.1993","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cg.scs.carleton.ca/~jit/publications/papers/bt97.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.7565","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.7565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scs.carleton.ca/~jit/publications/papers/bt97.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.55.5242","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.5242","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/~godfried/publications/quad.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W60809328","https://openalex.org/W179323378","https://openalex.org/W188711341","https://openalex.org/W278703347","https://openalex.org/W1484040084","https://openalex.org/W1516306206","https://openalex.org/W1560502031","https://openalex.org/W1601787207","https://openalex.org/W1973951775","https://openalex.org/W1978029564","https://openalex.org/W1980589726","https://openalex.org/W1984346383","https://openalex.org/W1996376324","https://openalex.org/W1998193049","https://openalex.org/W1999355997","https://openalex.org/W2005314985","https://openalex.org/W2009920752","https://openalex.org/W2014281764","https://openalex.org/W2015060510","https://openalex.org/W2017351109","https://openalex.org/W2034832176","https://openalex.org/W2037174407","https://openalex.org/W2048493433","https://openalex.org/W2051800505","https://openalex.org/W2053646756","https://openalex.org/W2063765938","https://openalex.org/W2069660598","https://openalex.org/W2073058919","https://openalex.org/W2074797641","https://openalex.org/W2085712543","https://openalex.org/W2092924973","https://openalex.org/W2097920610","https://openalex.org/W2129879687","https://openalex.org/W2148069113","https://openalex.org/W2493483968","https://openalex.org/W2618706772","https://openalex.org/W2772465410","https://openalex.org/W2801737447","https://openalex.org/W2914932700","https://openalex.org/W3160897418","https://openalex.org/W4230101685","https://openalex.org/W4234544970","https://openalex.org/W4253423131","https://openalex.org/W6607236968","https://openalex.org/W6607775491","https://openalex.org/W6630830429","https://openalex.org/W6633427577","https://openalex.org/W6635969900","https://openalex.org/W6645049980","https://openalex.org/W6669145261","https://openalex.org/W6746275862","https://openalex.org/W6822937483"],"related_works":["https://openalex.org/W2527197070","https://openalex.org/W2367443753","https://openalex.org/W1544909091","https://openalex.org/W142701514","https://openalex.org/W2019069959","https://openalex.org/W2389339893","https://openalex.org/W1992352038","https://openalex.org/W2187510381","https://openalex.org/W21575339","https://openalex.org/W1989292700"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}