{"id":"https://openalex.org/W1492494857","doi":"https://doi.org/10.1007/978-3-540-39422-8_4","title":"Direct Computation of a Control Vertex Position on any Subdivision Level","display_name":"Direct Computation of a Control Vertex Position on any Subdivision Level","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1492494857","doi":"https://doi.org/10.1007/978-3-540-39422-8_4","mag":"1492494857"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-39422-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-39422-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5111416250","display_name":"Lo\u00efc Barthe","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lo\u00efc Barthe","raw_affiliation_strings":["Computer Graphics Group, RWTH Aachen, Ahornstrasse 55, 52074, Aachen, Germany","RWTH Aachen >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics Group, RWTH Aachen, Ahornstrasse 55, 52074, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH Aachen >  >  >  >","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036300670","display_name":"Leif Kobbelt","orcid":"https://orcid.org/0000-0002-7880-9470"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Leif Kobbelt","raw_affiliation_strings":["Computer Graphics Group, RWTH Aachen, Ahornstrasse 55, 52074, Aachen, Germany","RWTH Aachen >  >  >  >"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics Group, RWTH Aachen, Ahornstrasse 55, 52074, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"RWTH Aachen >  >  >  >","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3962,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82635094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"40","last_page":"47"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9915000200271606,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9642000198364258,"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":0.9445192217826843},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7993969321250916},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6866458654403687},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6843085289001465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6763128638267517},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6576564908027649},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.5004336833953857},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4913419783115387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4356621205806732},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.28772032260894775},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2685152292251587},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.10286247730255127},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058283090591430664},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05729168653488159}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.9445192217826843},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7993969321250916},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6866458654403687},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6843085289001465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6763128638267517},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6576564908027649},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.5004336833953857},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4913419783115387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4356621205806732},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28772032260894775},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2685152292251587},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10286247730255127},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058283090591430664},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05729168653488159},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-39422-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-39422-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W126840538","https://openalex.org/W1528814089","https://openalex.org/W1990323259","https://openalex.org/W2012354141","https://openalex.org/W2022408614","https://openalex.org/W2028576613","https://openalex.org/W2032325716","https://openalex.org/W2052789583","https://openalex.org/W2056816721","https://openalex.org/W2058478206","https://openalex.org/W2065661959","https://openalex.org/W2071036364","https://openalex.org/W2083574922","https://openalex.org/W2091620062","https://openalex.org/W2100778417","https://openalex.org/W2121305937","https://openalex.org/W2164191390","https://openalex.org/W2182932938","https://openalex.org/W3146052257","https://openalex.org/W4255747408","https://openalex.org/W6601369194"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W2527197070","https://openalex.org/W646807382","https://openalex.org/W2097422415","https://openalex.org/W4386160109","https://openalex.org/W2382908174","https://openalex.org/W2182963470","https://openalex.org/W2380333825","https://openalex.org/W2296482608"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
