{"id":"https://openalex.org/W2118197096","doi":"https://doi.org/10.1023/a:1021642308852","title":"A Two-Dimensional Ellipse\u2013Rectangle Intersection Test","display_name":"A Two-Dimensional Ellipse\u2013Rectangle Intersection Test","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2118197096","doi":"https://doi.org/10.1023/a:1021642308852","mag":"2118197096"},"language":"en","primary_location":{"id":"doi:10.1023/a:1021642308852","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1021642308852","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"Journal of Mathematical Modelling and Algorithms","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/A5041512150","display_name":"H. Ratschek","orcid":null},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"H. Ratschek","raw_affiliation_strings":["Mathematisches Institut der Universit\u00e4t D\u00fcsseldorf, Germany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut der Universit\u00e4t D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020310155","display_name":"Jon Rokne","orcid":"https://orcid.org/0000-0002-3439-2917"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jon Rokne","raw_affiliation_strings":["Department of Computer Science, The University of Calgary, Canada","Department of Computer Science, The University of Calgary, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Computer Science, The University of Calgary, Canada#TAB#","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041512150"],"corresponding_institution_ids":["https://openalex.org/I44260953"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.18912279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"4","first_page":"243","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9979000091552734,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/ellipse","display_name":"Ellipse","score":0.9007639288902283},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.8438378572463989},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.8104567527770996},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7524979710578918},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6109296083450317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5843679904937744},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.561690092086792},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5385755896568298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43396061658859253},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4264844059944153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.355044960975647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35055750608444214},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11929497122764587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07079243659973145}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.9007639288902283},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8438378572463989},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.8104567527770996},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7524979710578918},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6109296083450317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5843679904937744},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.561690092086792},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5385755896568298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43396061658859253},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4264844059944153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.355044960975647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35055750608444214},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11929497122764587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07079243659973145},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1021642308852","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1021642308852","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"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":"Journal of Mathematical Modelling and Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W32712490","https://openalex.org/W153428429","https://openalex.org/W1490482062","https://openalex.org/W1575054008","https://openalex.org/W1587467920","https://openalex.org/W1983471184","https://openalex.org/W2001902860","https://openalex.org/W2027362220","https://openalex.org/W2032762786","https://openalex.org/W2074068518","https://openalex.org/W2168938315","https://openalex.org/W2170120409"],"related_works":["https://openalex.org/W3167691913","https://openalex.org/W4389849086","https://openalex.org/W4281957576","https://openalex.org/W2005013113","https://openalex.org/W2978412050","https://openalex.org/W2391190630","https://openalex.org/W2259000330","https://openalex.org/W2905571979","https://openalex.org/W2164621095","https://openalex.org/W2788630320"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}