{"id":"https://openalex.org/W1972511263","doi":"https://doi.org/10.1016/s0010-4485(00)00115-9","title":"Modifying the shape of NURBS surfaces with geometric constraints","display_name":"Modifying the shape of NURBS surfaces with geometric constraints","publication_year":2001,"publication_date":"2001-10-01","ids":{"openalex":"https://openalex.org/W1972511263","doi":"https://doi.org/10.1016/s0010-4485(00)00115-9","mag":"1972511263"},"language":"en","primary_location":{"id":"doi:10.1016/s0010-4485(00)00115-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(00)00115-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"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 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/A5037233582","display_name":"Shi\u2010Min Hu","orcid":"https://orcid.org/0000-0001-7507-6542"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S.-M. Hu","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100642147","display_name":"Youfu Li","orcid":"https://orcid.org/0000-0002-5227-1326"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Y.-F. Li","raw_affiliation_strings":["Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong","Department of Manufacturing Engineering & Engineering Management, City University of Hong Kong, Kowloon, Hong Kong#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Manufacturing Engineering & Engineering Management, City University of Hong Kong, Kowloon, Hong Kong#TAB#","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101952408","display_name":"Tao Ju","orcid":"https://orcid.org/0000-0002-1848-1012"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Ju","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100452967","display_name":"Xiaoling Zhu","orcid":"https://orcid.org/0000-0001-5739-7676"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X. Zhu","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037233582"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":8.4447,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.97834618,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"12","first_page":"903","last_page":"912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9966999888420105,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/parametric-surface","display_name":"Parametric surface","score":0.7520792484283447},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6222540140151978},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6144904494285583},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5526311993598938},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.5318341255187988},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.513952910900116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46325597167015076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4526020884513855},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.45048898458480835},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.44323915243148804},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4255993962287903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4216597378253937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3609733283519745},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3594910800457001},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.18032881617546082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06668025255203247}],"concepts":[{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.7520792484283447},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6222540140151978},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6144904494285583},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5526311993598938},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.5318341255187988},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.513952910900116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46325597167015076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4526020884513855},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.45048898458480835},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.44323915243148804},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4255993962287903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4216597378253937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3609733283519745},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3594910800457001},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.18032881617546082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06668025255203247},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0010-4485(00)00115-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(00)00115-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"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 Design","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.78.5001","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.5001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wustl.edu/~taoju/research/nurbs.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8999999761581421,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W185252163","https://openalex.org/W1548879090","https://openalex.org/W1588300746","https://openalex.org/W1966914634","https://openalex.org/W1970057312","https://openalex.org/W1973588708","https://openalex.org/W1975174032","https://openalex.org/W1993541778","https://openalex.org/W2001920005","https://openalex.org/W2005703344","https://openalex.org/W2006301012","https://openalex.org/W2007127605","https://openalex.org/W2011129566","https://openalex.org/W2013982170","https://openalex.org/W2018832305","https://openalex.org/W2051284255","https://openalex.org/W2056211697","https://openalex.org/W2088875936","https://openalex.org/W2089945075","https://openalex.org/W2108672708","https://openalex.org/W2109902055","https://openalex.org/W2996973090","https://openalex.org/W3005044133","https://openalex.org/W4242901978","https://openalex.org/W6654019563"],"related_works":["https://openalex.org/W2560064799","https://openalex.org/W2115463023","https://openalex.org/W2350142587","https://openalex.org/W1978015690","https://openalex.org/W2364358617","https://openalex.org/W2152361268","https://openalex.org/W2048887726","https://openalex.org/W2333321198","https://openalex.org/W2114788602","https://openalex.org/W2118058459"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
