{"id":"https://openalex.org/W2965434720","doi":"https://doi.org/10.1007/s00498-019-0241-9","title":"Optimal interpolants on Grassmann manifolds","display_name":"Optimal interpolants on Grassmann manifolds","publication_year":2019,"publication_date":"2019-07-26","ids":{"openalex":"https://openalex.org/W2965434720","doi":"https://doi.org/10.1007/s00498-019-0241-9","mag":"2965434720"},"language":"en","primary_location":{"id":"doi:10.1007/s00498-019-0241-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-019-0241-9","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"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":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ro.ecu.edu.au/ecuworkspost2013/11534","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014124196","display_name":"Erchuan Zhang","orcid":"https://orcid.org/0000-0002-4005-5431"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Erchuan Zhang","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia"],"raw_orcid":"https://orcid.org/0000-0002-4005-5431","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001541606","display_name":"Lyle Noakes","orcid":"https://orcid.org/0000-0001-9595-0735"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lyle Noakes","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014124196"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6629,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65629234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"31","issue":"3","first_page":"363","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9887999892234802,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9842000007629395,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7668784260749817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.734704315662384},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.6837303042411804},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.6563464403152466},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.5460609793663025},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5268462896347046},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5168700218200684},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.5167598128318787},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.47504308819770813},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4710942208766937},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4663993716239929},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32938268780708313},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2591836750507355},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.24020099639892578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11332252621650696},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0690498948097229}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7668784260749817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.734704315662384},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.6837303042411804},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.6563464403152466},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.5460609793663025},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5268462896347046},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5168700218200684},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.5167598128318787},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.47504308819770813},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4710942208766937},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4663993716239929},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32938268780708313},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2591836750507355},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.24020099639892578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11332252621650696},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0690498948097229},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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":3,"locations":[{"id":"doi:10.1007/s00498-019-0241-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-019-0241-9","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"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":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/0c1e5cbf-7466-4f60-8c1f-79e593606ae6","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/0c1e5cbf-7466-4f60-8c1f-79e593606ae6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zhang , E & Noakes , L 2019 , ' Optimal interpolants on Grassmann manifolds ' , Mathematics of Control, Signals, and Systems , vol. 31 , no. 3 , pp. 363-383 . https://doi.org/10.1007/s00498-019-0241-9","raw_type":"article"},{"id":"pmh:oai:ro.ecu.edu.au:ecuworkspost2013-12540","is_oa":true,"landing_page_url":"https://ro.ecu.edu.au/ecuworkspost2013/11534","pdf_url":null,"source":{"id":"https://openalex.org/S2765015692","display_name":"Australasian Journal of Paramedicine","issn_l":"2202-7270","issn":["2202-7270"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research outputs 2014 to 2021","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:ro.ecu.edu.au:ecuworkspost2013-12540","is_oa":true,"landing_page_url":"https://ro.ecu.edu.au/ecuworkspost2013/11534","pdf_url":null,"source":{"id":"https://openalex.org/S2765015692","display_name":"Australasian Journal of Paramedicine","issn_l":"2202-7270","issn":["2202-7270"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research outputs 2014 to 2021","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W240029891","https://openalex.org/W575807854","https://openalex.org/W1540059687","https://openalex.org/W1548802052","https://openalex.org/W1551148884","https://openalex.org/W1574514837","https://openalex.org/W1577151846","https://openalex.org/W1587799944","https://openalex.org/W1664701315","https://openalex.org/W1804110266","https://openalex.org/W1856452060","https://openalex.org/W1892837366","https://openalex.org/W1961157885","https://openalex.org/W1982729005","https://openalex.org/W1983894121","https://openalex.org/W1989516295","https://openalex.org/W2030394252","https://openalex.org/W2045512849","https://openalex.org/W2059640215","https://openalex.org/W2064404969","https://openalex.org/W2066031421","https://openalex.org/W2067265108","https://openalex.org/W2067830386","https://openalex.org/W2104068117","https://openalex.org/W2111034649","https://openalex.org/W2140798815","https://openalex.org/W2147631863","https://openalex.org/W2184161947","https://openalex.org/W2344935180","https://openalex.org/W2528005577","https://openalex.org/W2582546566","https://openalex.org/W2783051871","https://openalex.org/W2795721159","https://openalex.org/W2911764459","https://openalex.org/W2915029616","https://openalex.org/W3023058184","https://openalex.org/W3203224907","https://openalex.org/W4205293427","https://openalex.org/W4213187536","https://openalex.org/W4243055393","https://openalex.org/W4298848800"],"related_works":["https://openalex.org/W2032298811","https://openalex.org/W4252222695","https://openalex.org/W2972919969","https://openalex.org/W4210956211","https://openalex.org/W1993171570","https://openalex.org/W1483477236","https://openalex.org/W2067298860","https://openalex.org/W2999284236","https://openalex.org/W2096884277","https://openalex.org/W153239368"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}