{"id":"https://openalex.org/W2100522523","doi":"https://doi.org/10.1016/s0925-7721(01)00012-8","title":"The point in polygon problem for arbitrary polygons","display_name":"The point in polygon problem for arbitrary polygons","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2100522523","doi":"https://doi.org/10.1016/s0925-7721(01)00012-8","mag":"2100522523"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-7721(01)00012-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00012-8","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"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":"Computational Geometry","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/A5050260332","display_name":"Kai Hormann","orcid":"https://orcid.org/0000-0001-6455-4246"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kai Hormann","raw_affiliation_strings":["University of Erlangen, Computer Graphics Group, Am Weichselgarten 9, 91058 Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen, Computer Graphics Group, Am Weichselgarten 9, 91058 Erlangen, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034211281","display_name":"Alexander Agathos","orcid":"https://orcid.org/0000-0002-0402-0821"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Alexander Agathos","raw_affiliation_strings":["University of Athens, Department of Informatics, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"University of Athens, Department of Informatics, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050260332"],"corresponding_institution_ids":[],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":0.7292,"has_fulltext":false,"cited_by_count":385,"citation_normalized_percentile":{"value":0.78890348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"20","issue":"3","first_page":"131","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.8598425388336182},{"id":"https://openalex.org/keywords/point-in-polygon","display_name":"Point in polygon","score":0.8323040008544922},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6741085052490234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5474253296852112},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4933861792087555},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.4840823709964752},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3856046497821808},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.36911630630493164},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3476870059967041},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15735766291618347}],"concepts":[{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.8598425388336182},{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.8323040008544922},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6741085052490234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5474253296852112},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4933861792087555},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.4840823709964752},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3856046497821808},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.36911630630493164},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3476870059967041},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15735766291618347},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0925-7721(01)00012-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00012-8","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"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":"Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.5578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.5578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cgi.di.uoa.gr/~grad0220/COMGEO.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.88.5498","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.5498","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.in.tu-clausthal.de/~hormann/papers/Hormann.2001.TPI.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W72613748","https://openalex.org/W280513814","https://openalex.org/W1490482062","https://openalex.org/W1500452690","https://openalex.org/W1550108991","https://openalex.org/W1600815941","https://openalex.org/W2110712876","https://openalex.org/W2129879687","https://openalex.org/W2156153879","https://openalex.org/W2506248238","https://openalex.org/W2982209274","https://openalex.org/W2988817687","https://openalex.org/W4210777595","https://openalex.org/W4298410530","https://openalex.org/W6602944783","https://openalex.org/W6676879939","https://openalex.org/W6724592383"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W1585992543","https://openalex.org/W2383204375","https://openalex.org/W2582238625","https://openalex.org/W2466150543","https://openalex.org/W4385966043","https://openalex.org/W1574385567","https://openalex.org/W2097069316","https://openalex.org/W2362048241","https://openalex.org/W2381384555"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":30},{"year":2024,"cited_by_count":43},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":31},{"year":2020,"cited_by_count":23},{"year":2019,"cited_by_count":31},{"year":2018,"cited_by_count":33},{"year":2017,"cited_by_count":23},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
