{"id":"https://openalex.org/W2087873468","doi":"https://doi.org/10.1016/s0167-8396(01)00043-7","title":"A subdivision scheme for surfaces of revolution","display_name":"A subdivision scheme for surfaces of revolution","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2087873468","doi":"https://doi.org/10.1016/s0167-8396(01)00043-7","mag":"2087873468"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(01)00043-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(01)00043-7","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/A5049924775","display_name":"G\u00e9raldine Morin","orcid":"https://orcid.org/0000-0003-0925-3277"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G\u00e9raldine Morin","raw_affiliation_strings":["Rice University, Department of Computer Science, Houston, TX 77251-1892, USA"],"affiliations":[{"raw_affiliation_string":"Rice University, Department of Computer Science, Houston, TX 77251-1892, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113597103","display_name":"Joe Warren","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joe Warren","raw_affiliation_strings":["Rice University, Department of Computer Science, Houston, TX 77251-1892, USA"],"affiliations":[{"raw_affiliation_string":"Rice University, Department of Computer Science, Houston, TX 77251-1892, USA","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048552378","display_name":"Henrik Weimer","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henrik Weimer","raw_affiliation_strings":["Rice University, Department of Computer Science, Houston, TX 77251-1892, USA"],"affiliations":[{"raw_affiliation_string":"Rice University, Department of Computer Science, Houston, TX 77251-1892, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113597103"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":11.6114,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.98979639,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"5","first_page":"483","last_page":"502"},"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.972000002861023,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9718999862670898,"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":0.8976794481277466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8198925256729126},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.8084497451782227},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.6762166023254395},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6704357266426086},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.5496127605438232},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.5389614105224609},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5124788284301758},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4798033535480499},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4120781719684601},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4072864353656769},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40582650899887085},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35037797689437866},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1360797882080078},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.08583685755729675}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8976794481277466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8198925256729126},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.8084497451782227},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.6762166023254395},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6704357266426086},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.5496127605438232},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.5389614105224609},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5124788284301758},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4798033535480499},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4120781719684601},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4072864353656769},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40582650899887085},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35037797689437866},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1360797882080078},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.08583685755729675},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8396(01)00043-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(01)00043-7","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5799999833106995,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W136984403","https://openalex.org/W1575746880","https://openalex.org/W1964673636","https://openalex.org/W1967344744","https://openalex.org/W2001562259","https://openalex.org/W2003173111","https://openalex.org/W2003999693","https://openalex.org/W2017068862","https://openalex.org/W2028413588","https://openalex.org/W2032325716","https://openalex.org/W2039153495","https://openalex.org/W2046403519","https://openalex.org/W2065727198","https://openalex.org/W2084326687","https://openalex.org/W2090344516","https://openalex.org/W2168619051","https://openalex.org/W2328237943","https://openalex.org/W2574741566","https://openalex.org/W4206360718","https://openalex.org/W6605540042","https://openalex.org/W6684820393","https://openalex.org/W6701973012","https://openalex.org/W6822360875"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W2527197070","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2377450293","https://openalex.org/W2370429828","https://openalex.org/W2415051010","https://openalex.org/W2000142013","https://openalex.org/W2145935788"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}