{"id":"https://openalex.org/W2005026593","doi":"https://doi.org/10.1007/s00371-006-0072-9","title":"Similarity based interpolation using Catmull\u2013Clark subdivision surfaces","display_name":"Similarity based interpolation using Catmull\u2013Clark subdivision surfaces","publication_year":2006,"publication_date":"2006-08-23","ids":{"openalex":"https://openalex.org/W2005026593","doi":"https://doi.org/10.1007/s00371-006-0072-9","mag":"2005026593"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-006-0072-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-006-0072-9","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"The Visual Computer","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/A5064711865","display_name":"Shuhua Lai","orcid":"https://orcid.org/0000-0001-5678-6848"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shuhua Lai","raw_affiliation_strings":["Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, Lexington, KY, 40506-0046, USA","Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, 40506-0046, Lexington, KY, USA"],"affiliations":[{"raw_affiliation_string":"Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, Lexington, KY, 40506-0046, USA","institution_ids":["https://openalex.org/I143302722"]},{"raw_affiliation_string":"Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, 40506-0046, Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101490033","display_name":"Fuhua Cheng","orcid":"https://orcid.org/0000-0003-2098-3027"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fuhua (Frank) Cheng","raw_affiliation_strings":["Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, 40506-0046, Lexington, KY, USA"],"affiliations":[{"raw_affiliation_string":"Graphics & Geometric Modeling Lab, Department of Computer Science, University of Kentucky, 40506-0046, Lexington, KY, USA","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064711865"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.7974,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.92629617,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"9-11","first_page":"865","last_page":"873"},"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":0.980400025844574,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.978600025177002,"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-surface","display_name":"Subdivision surface","score":0.8249502778053284},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.7086982727050781},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.688720166683197},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.604322075843811},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6007452011108398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5799211263656616},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5136622786521912},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4820002615451813},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.48188096284866333},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.4601145386695862},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4321485757827759},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.406166672706604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3445701003074646},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3403714895248413},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24377885460853577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23106649518013},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2051868736743927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16975829005241394},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.12568846344947815},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11773577332496643},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10150641202926636},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.07669234275817871},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.06478556990623474}],"concepts":[{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.8249502778053284},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7086982727050781},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.688720166683197},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.604322075843811},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6007452011108398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5799211263656616},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5136622786521912},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4820002615451813},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.48188096284866333},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.4601145386695862},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4321485757827759},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.406166672706604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3445701003074646},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3403714895248413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24377885460853577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23106649518013},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2051868736743927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16975829005241394},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12568846344947815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11773577332496643},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10150641202926636},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.07669234275817871},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.06478556990623474},{"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:10.1007/s00371-006-0072-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-006-0072-9","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"The Visual Computer","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1969985130","https://openalex.org/W1975807121","https://openalex.org/W1979650518","https://openalex.org/W1985437751","https://openalex.org/W2019588398","https://openalex.org/W2028576613","https://openalex.org/W2032325716","https://openalex.org/W2043571611","https://openalex.org/W2056137984","https://openalex.org/W2056816721","https://openalex.org/W2065661959","https://openalex.org/W2083574922","https://openalex.org/W2147401410","https://openalex.org/W2783920204","https://openalex.org/W3140286667"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2097422415","https://openalex.org/W4386160109","https://openalex.org/W2382908174","https://openalex.org/W2182963470","https://openalex.org/W2380333825","https://openalex.org/W2374536561"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
