{"id":"https://openalex.org/W2076006312","doi":"https://doi.org/10.1016/0167-8396(86)90002-6","title":"Recursive subdivision without the convex hull property","display_name":"Recursive subdivision without the convex hull property","publication_year":1986,"publication_date":"1986-12-01","ids":{"openalex":"https://openalex.org/W2076006312","doi":"https://doi.org/10.1016/0167-8396(86)90002-6","mag":"2076006312"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8396(86)90002-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90002-6","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/A5112198140","display_name":"Ronald Goldman","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ronald N. Goldman","raw_affiliation_strings":["Control Data Corporation, 4201 N. Lexington Ave., AHS 251, Arden Hills, MN 55126, U.S.A","Control Data Corporation, Arden Hills, MN#TAB#"],"affiliations":[{"raw_affiliation_string":"Control Data Corporation, 4201 N. Lexington Ave., AHS 251, Arden Hills, MN 55126, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Control Data Corporation, Arden Hills, MN#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030916311","display_name":"Tony DeRose","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tony D. Derose","raw_affiliation_strings":["Department of Computer Science, FR-35, University of Washington, Seattle, WA 98195, U.S.A","University of Washington , Seattle"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, FR-35, University of Washington, Seattle, WA 98195, U.S.A","institution_ids":[]},{"raw_affiliation_string":"University of Washington , Seattle","institution_ids":["https://openalex.org/I58610484","https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112198140"],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.1515,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91524511,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"3","issue":"4","first_page":"247","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/subdivision","display_name":"Subdivision","score":0.8587530851364136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7698521614074707},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.7375122308731079},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.631466269493103},{"id":"https://openalex.org/keywords/\u03bc-operator","display_name":"\u03bc operator","score":0.5125570297241211},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.48166143894195557},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4428030848503113},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4385235905647278},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3780742287635803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3729698956012726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3722410798072815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3445216119289398},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2885444164276123},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23094281554222107},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.12339943647384644}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8587530851364136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7698521614074707},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7375122308731079},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.631466269493103},{"id":"https://openalex.org/C85955891","wikidata":"https://www.wikidata.org/wiki/Q307772","display_name":"\u03bc operator","level":3,"score":0.5125570297241211},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.48166143894195557},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4428030848503113},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4385235905647278},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3780742287635803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3729698956012726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3722410798072815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3445216119289398},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2885444164276123},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23094281554222107},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.12339943647384644},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8396(86)90002-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8396(86)90002-6","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W311213300","https://openalex.org/W1483681246","https://openalex.org/W1516308706","https://openalex.org/W1964655830","https://openalex.org/W1995251444","https://openalex.org/W2003173111","https://openalex.org/W2011190318","https://openalex.org/W2025810010","https://openalex.org/W2027740699","https://openalex.org/W2043948656","https://openalex.org/W2097415784","https://openalex.org/W2112165068","https://openalex.org/W4244493996","https://openalex.org/W6628793297","https://openalex.org/W6631055007","https://openalex.org/W6676618585","https://openalex.org/W6963188734"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2377450293","https://openalex.org/W2370429828","https://openalex.org/W2415051010","https://openalex.org/W3083116488","https://openalex.org/W2143665433","https://openalex.org/W2062151580"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}