{"id":"https://openalex.org/W1556246327","doi":"https://doi.org/10.1016/b978-0-12-438660-0.50018-2","title":"Polynomial Expansions for Cardinal Interpolants and Orthonormal Wavelets","display_name":"Polynomial Expansions for Cardinal Interpolants and Orthonormal Wavelets","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W1556246327","doi":"https://doi.org/10.1016/b978-0-12-438660-0.50018-2","mag":"1556246327"},"language":"en","primary_location":{"id":"doi:10.1016/b978-0-12-438660-0.50018-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-438660-0.50018-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Curves and Surfaces","raw_type":"book-chapter"},"type":"book-chapter","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/A5103210224","display_name":"Charles K. Chui","orcid":"https://orcid.org/0000-0003-2482-8980"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C.K. Chui","raw_affiliation_strings":["Texas A&M University, Department of Mathematics College Station, Texas 77843"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, Department of Mathematics College Station, Texas 77843","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033634172","display_name":"Joachim St\u00f6ckler","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]},{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"J. St\u00f6ckler","raw_affiliation_strings":["Texas A&M University, Department of Mathematics College Station, Texas 77843","Universit\u00e4t Duisburg, Fachbereich Mathematik, Lotharstr. 65, 4100 Duisburg 1"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, Department of Mathematics College Station, Texas 77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Universit\u00e4t Duisburg, Fachbereich Mathematik, Lotharstr. 65, 4100 Duisburg 1","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103352171","display_name":"J. D. Ward","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.D. Ward","raw_affiliation_strings":["Texas A&M University, Department of Mathematics College Station, Texas 77843"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, Department of Mathematics College Station, Texas 77843","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033634172","display_name":"Joachim St\u00f6ckler","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Joachim St\u00f6ckler","raw_affiliation_strings":["Texas A&M University, Department of Mathematics College Station, Texas 77843","Universit\u00e4t Duisburg, Fachbereich Mathematik, Lotharstr. 65, 4100 Duisburg 1"],"affiliations":[{"raw_affiliation_string":"Texas A&M University, Department of Mathematics College Station, Texas 77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Universit\u00e4t Duisburg, Fachbereich Mathematik, Lotharstr. 65, 4100 Duisburg 1","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103210224"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22238372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9829000234603882,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9825000166893005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.858012318611145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7475810050964355},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6102743148803711},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5895779132843018},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5396767258644104},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4969351589679718},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49102234840393066},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.46262383460998535},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4569755494594574},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43904590606689453},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.42689383029937744},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4240395128726959},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3793303370475769},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3624137043952942},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3589591681957245},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32065635919570923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09554752707481384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05839470028877258}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.858012318611145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7475810050964355},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6102743148803711},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5895779132843018},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5396767258644104},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4969351589679718},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49102234840393066},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.46262383460998535},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4569755494594574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43904590606689453},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.42689383029937744},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4240395128726959},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3793303370475769},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3624137043952942},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3589591681957245},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32065635919570923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09554752707481384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05839470028877258},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/b978-0-12-438660-0.50018-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-438660-0.50018-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Curves and Surfaces","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W789301924","https://openalex.org/W1980149518","https://openalex.org/W2027706775","https://openalex.org/W2052747572","https://openalex.org/W2056100176","https://openalex.org/W2058041540","https://openalex.org/W2083211919","https://openalex.org/W2314564916","https://openalex.org/W2986057930","https://openalex.org/W4229978573"],"related_works":["https://openalex.org/W2370850565","https://openalex.org/W2381894435","https://openalex.org/W2296214397","https://openalex.org/W2951195293","https://openalex.org/W2029951831","https://openalex.org/W2072372040","https://openalex.org/W3141309046","https://openalex.org/W2497125423","https://openalex.org/W1982342127","https://openalex.org/W2021666190"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
