{"id":"https://openalex.org/W4297903085","doi":"https://doi.org/10.1007/s40314-022-02032-9","title":"Construction of transition surfaces with minimal generalized thin-plate spline-surface energies","display_name":"Construction of transition surfaces with minimal generalized thin-plate spline-surface energies","publication_year":2022,"publication_date":"2022-09-20","ids":{"openalex":"https://openalex.org/W4297903085","doi":"https://doi.org/10.1007/s40314-022-02032-9"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-02032-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02032-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5008542423","display_name":"Gang Hu","orcid":"https://orcid.org/0000-0003-0738-7490"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gang Hu","raw_affiliation_strings":["Department of Applied Mathematics, Xi\u2019an University of Technology, Xi\u2019an, 710054, Shaanxi, China","Department of Applied Mathematics, Xi'an University of Technology, Xi'an, 710054, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0003-0738-7490","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Xi\u2019an University of Technology, Xi\u2019an, 710054, Shaanxi, China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"Department of Applied Mathematics, Xi'an University of Technology, Xi'an, 710054, Shaanxi, China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101026676","display_name":"Huanxin Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanxin Cao","raw_affiliation_strings":["Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an, 710072, Shaanxi, China","Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710072, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an, 710072, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710072, Shaanxi, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101685191","display_name":"Xinqiang Qin","orcid":"https://orcid.org/0000-0001-5754-2271"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinqiang Qin","raw_affiliation_strings":["Department of Applied Mathematics, Xi\u2019an University of Technology, Xi\u2019an, 710054, Shaanxi, China","Department of Applied Mathematics, Xi'an University of Technology, Xi'an, 710054, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Xi\u2019an University of Technology, Xi\u2019an, 710054, Shaanxi, China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"Department of Applied Mathematics, Xi'an University of Technology, Xi'an, 710054, Shaanxi, China","institution_ids":["https://openalex.org/I4210131919"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008542423"],"corresponding_institution_ids":["https://openalex.org/I4210131919"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.2797,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.43204171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"41","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9617999792098999,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.957099974155426,"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":0.6639834642410278},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6516993045806885},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5701205134391785},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5332234501838684},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4974115192890167},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.49146854877471924},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.4173327088356018},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.41518735885620117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3976393938064575},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3676072061061859},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31856051087379456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29632067680358887},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22688451409339905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12414371967315674}],"concepts":[{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6639834642410278},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6516993045806885},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5701205134391785},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5332234501838684},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4974115192890167},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.49146854877471924},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.4173327088356018},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.41518735885620117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3976393938064575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3676072061061859},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31856051087379456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29632067680358887},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22688451409339905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12414371967315674},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-02032-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02032-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8899999856948853}],"awards":[{"id":"https://openalex.org/G6006839720","display_name":null,"funder_award_id":"Grant No. 51875454","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1878245702","https://openalex.org/W2012632210","https://openalex.org/W2032543657","https://openalex.org/W2054414694","https://openalex.org/W2061380892","https://openalex.org/W2062377090","https://openalex.org/W2073422063","https://openalex.org/W2074009974","https://openalex.org/W2121986325","https://openalex.org/W2130859329","https://openalex.org/W2131681761","https://openalex.org/W2897725314","https://openalex.org/W3006964082","https://openalex.org/W3092246241","https://openalex.org/W3126837765","https://openalex.org/W3135083824","https://openalex.org/W3199008161","https://openalex.org/W4211039922","https://openalex.org/W4223539584","https://openalex.org/W4283650342","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W2129778150","https://openalex.org/W2997876153","https://openalex.org/W2096317996","https://openalex.org/W2408178107","https://openalex.org/W2144685159","https://openalex.org/W1983561394","https://openalex.org/W2542077003","https://openalex.org/W2091242392","https://openalex.org/W3153287478","https://openalex.org/W2131662362"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}