{"id":"https://openalex.org/W156428296","doi":"https://doi.org/10.1023/a:1025549029512","title":"A Family of Spline Quasi-Interpolants on the Sphere","display_name":"A Family of Spline Quasi-Interpolants on the Sphere","publication_year":2003,"publication_date":"2003-08-01","ids":{"openalex":"https://openalex.org/W156428296","doi":"https://doi.org/10.1023/a:1025549029512","mag":"156428296"},"language":"en","primary_location":{"id":"doi:10.1023/a:1025549029512","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025549029512","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5046264032","display_name":"Otheman Nouisser","orcid":"https://orcid.org/0000-0002-5728-883X"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"O. Nouisser","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohammed I, Oujda, Maroc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohammed I, Oujda, Maroc","institution_ids":["https://openalex.org/I3019441195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007125439","display_name":"D. Sbibih","orcid":"https://orcid.org/0000-0002-0528-5012"},"institutions":[{"id":"https://openalex.org/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Sbibih","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohammed I, Oujda, Maroc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Facult\u00e9 des Sciences, Universit\u00e9 Mohammed I, Oujda, Maroc","institution_ids":["https://openalex.org/I3019441195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041868556","display_name":"Paul Sablonni\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I28221208","display_name":"Institut National des Sciences Appliqu\u00e9es de Rennes","ror":"https://ror.org/04xaa4j22","country_code":"FR","type":"education","lineage":["https://openalex.org/I28221208"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paul Sablonni\u00e8re","raw_affiliation_strings":["INSA, 20 avenue des Buttes de Coesmes, CS 14315, 35043, Rennes C\u00e9dex, France","INSA, Rennes C\u00e9dex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSA, 20 avenue des Buttes de Coesmes, CS 14315, 35043, Rennes C\u00e9dex, France","institution_ids":["https://openalex.org/I28221208"]},{"raw_affiliation_string":"INSA, Rennes C\u00e9dex, France","institution_ids":["https://openalex.org/I28221208"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.01503933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"33","issue":"1-4","first_page":"399","last_page":"413"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9639000296592712,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8579816818237305},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.7813003063201904},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5789932012557983},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5013382434844971},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4988875389099121},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.49048253893852234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4848276376724243},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4778120815753937},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4659935235977173},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.45289838314056396},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4477090537548065},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4413506090641022},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4245927929878235},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4153043031692505},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40150079131126404},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3911247253417969},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30015748739242554},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.09681186079978943}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8579816818237305},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.7813003063201904},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5789932012557983},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5013382434844971},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4988875389099121},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.49048253893852234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4848276376724243},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4778120815753937},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4659935235977173},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.45289838314056396},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4477090537548065},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4413506090641022},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4245927929878235},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4153043031692505},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40150079131126404},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3911247253417969},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30015748739242554},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.09681186079978943},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1025549029512","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1025549029512","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1571179801","https://openalex.org/W1998676431","https://openalex.org/W2034016498","https://openalex.org/W2036189627","https://openalex.org/W2041140405","https://openalex.org/W2060643018","https://openalex.org/W2063429204","https://openalex.org/W2090344516"],"related_works":["https://openalex.org/W634571496","https://openalex.org/W579400037","https://openalex.org/W2951578208","https://openalex.org/W1570037808","https://openalex.org/W4298173607","https://openalex.org/W4387031439","https://openalex.org/W4386784405","https://openalex.org/W630157503","https://openalex.org/W115184939","https://openalex.org/W2153015377"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2016-06-24T00:00:00"}
