{"id":"https://openalex.org/W2081764815","doi":"https://doi.org/10.1007/s00371-004-0241-7","title":"Blending surface generation using a fast and accurate analytical solution of a fourth-order PDE with three shape control parameters","display_name":"Blending surface generation using a fast and accurate analytical solution of a fourth-order PDE with three shape control parameters","publication_year":2004,"publication_date":"2004-04-26","ids":{"openalex":"https://openalex.org/W2081764815","doi":"https://doi.org/10.1007/s00371-004-0241-7","mag":"2081764815"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-004-0241-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-004-0241-7","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/A5101850373","display_name":"Lihua You","orcid":"https://orcid.org/0000-0001-9738-4378"},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Lihua You","raw_affiliation_strings":["National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom","institution_ids":["https://openalex.org/I9300472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074858947","display_name":"Jianjun Zhang","orcid":"https://orcid.org/0000-0002-7069-5771"},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jian J. Zhang","raw_affiliation_strings":["National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom","institution_ids":["https://openalex.org/I9300472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037897394","display_name":"Peter Comninos","orcid":null},"institutions":[{"id":"https://openalex.org/I9300472","display_name":"Bournemouth University","ror":"https://ror.org/05wwcw481","country_code":"GB","type":"education","lineage":["https://openalex.org/I9300472"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter Comninos","raw_affiliation_strings":["National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Centre for Computer Animation, Bournemouth Media School, Bournemouth University, Dorset, BH12 5BB, United Kingdom","institution_ids":["https://openalex.org/I9300472"]},{"raw_affiliation_string":"Bournemouth University, National Centre for Computer Animation, Bournemouth Media School, United Kingdom","institution_ids":["https://openalex.org/I9300472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074858947"],"corresponding_institution_ids":["https://openalex.org/I9300472"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.8205,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.8956403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"2-3","first_page":"199","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"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":0.9987000226974487,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.7306049466133118},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.7094299793243408},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5223901867866516},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.49504390358924866},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4943974018096924},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4663151204586029},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44128406047821045},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42513880133628845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41853049397468567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4152876138687134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40898358821868896},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3919374346733093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3623656630516052},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21386724710464478}],"concepts":[{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.7306049466133118},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.7094299793243408},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5223901867866516},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.49504390358924866},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4943974018096924},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4663151204586029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44128406047821045},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42513880133628845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41853049397468567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4152876138687134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40898358821868896},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3919374346733093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3623656630516052},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21386724710464478},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00371-004-0241-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-004-0241-7","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":22,"referenced_works":["https://openalex.org/W1966821837","https://openalex.org/W1978476222","https://openalex.org/W2008756439","https://openalex.org/W2015700958","https://openalex.org/W2022177119","https://openalex.org/W2035124069","https://openalex.org/W2038373439","https://openalex.org/W2049495060","https://openalex.org/W2058511943","https://openalex.org/W2061380892","https://openalex.org/W2065509214","https://openalex.org/W2075093100","https://openalex.org/W2079066051","https://openalex.org/W2128777042","https://openalex.org/W2129098897","https://openalex.org/W2131681761","https://openalex.org/W2133275054","https://openalex.org/W2149230944","https://openalex.org/W2156786466","https://openalex.org/W2168384586","https://openalex.org/W3152937384","https://openalex.org/W3155706438"],"related_works":["https://openalex.org/W2071113133","https://openalex.org/W2095627444","https://openalex.org/W2354039148","https://openalex.org/W2196719869","https://openalex.org/W2115463023","https://openalex.org/W2350142587","https://openalex.org/W3151072301","https://openalex.org/W1978015690","https://openalex.org/W2364358617","https://openalex.org/W2356272394"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}