{"id":"https://openalex.org/W2210521902","doi":"https://doi.org/10.1016/0925-7721(94)90011-6","title":"External polygon containment problems","display_name":"External polygon containment problems","publication_year":1994,"publication_date":"1994-06-01","ids":{"openalex":"https://openalex.org/W2210521902","doi":"https://doi.org/10.1016/0925-7721(94)90011-6","mag":"2210521902"},"language":"en","primary_location":{"id":"doi:10.1016/0925-7721(94)90011-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0925-7721(94)90011-6","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/A5055296785","display_name":"Micha Sharir","orcid":"https://orcid.org/0000-0002-2541-3763"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"Micha Sharir","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA","School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056808449","display_name":"Sivan Toledo","orcid":"https://orcid.org/0000-0002-9524-7115"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Sivan Toledo","raw_affiliation_strings":["School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055296785"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I36672615","https://openalex.org/I57206974"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":4.2837,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.93709793,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"2","first_page":"99","last_page":"118"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/polygon","display_name":"Polygon (computer graphics)","score":0.7828637361526489},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6981568336486816},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6939843893051147},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.6076809167861938},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.597526490688324},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.575852632522583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.562046229839325},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4836472272872925},{"id":"https://openalex.org/keywords/containment","display_name":"Containment (computer programming)","score":0.4520799517631531},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.4263395667076111},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.42423146963119507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34987109899520874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34265315532684326},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.29242992401123047},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.1912422478199005},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16166788339614868},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.06102761626243591}],"concepts":[{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7828637361526489},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6981568336486816},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6939843893051147},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.6076809167861938},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.597526490688324},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.575852632522583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.562046229839325},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4836472272872925},{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.4520799517631531},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.4263395667076111},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.42423146963119507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34987109899520874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34265315532684326},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.29242992401123047},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.1912422478199005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16166788339614868},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.06102761626243591},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0925-7721(94)90011-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0925-7721(94)90011-6","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W248258410","https://openalex.org/W1582550272","https://openalex.org/W1871941328","https://openalex.org/W1965079671","https://openalex.org/W1975114110","https://openalex.org/W1993058867","https://openalex.org/W1997271799","https://openalex.org/W1998230386","https://openalex.org/W2003692819","https://openalex.org/W2013382394","https://openalex.org/W2014732796","https://openalex.org/W2019176509","https://openalex.org/W2033013465","https://openalex.org/W2042607215","https://openalex.org/W2051017380","https://openalex.org/W2063293730","https://openalex.org/W2089062581","https://openalex.org/W2089567570","https://openalex.org/W2097004206","https://openalex.org/W2107423006","https://openalex.org/W2132026455","https://openalex.org/W2134008688","https://openalex.org/W2139594840","https://openalex.org/W2146517658","https://openalex.org/W2443862921","https://openalex.org/W3148691794","https://openalex.org/W6609375426","https://openalex.org/W6635091711","https://openalex.org/W6645220033","https://openalex.org/W6653824816","https://openalex.org/W6666182163","https://openalex.org/W6719058894","https://openalex.org/W7042602231"],"related_works":["https://openalex.org/W2466150543","https://openalex.org/W2362048241","https://openalex.org/W2608536130","https://openalex.org/W100228941","https://openalex.org/W4385966043","https://openalex.org/W2123516473","https://openalex.org/W1991526295","https://openalex.org/W2375018841","https://openalex.org/W1993484075","https://openalex.org/W2044157824"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}