{"id":"https://openalex.org/W2066226138","doi":"https://doi.org/10.1016/0010-4485(92)90017-5","title":"Unimodal properties of B-spline and Bernstein-basis functions","display_name":"Unimodal properties of B-spline and Bernstein-basis functions","publication_year":1992,"publication_date":"1992-12-01","ids":{"openalex":"https://openalex.org/W2066226138","doi":"https://doi.org/10.1016/0010-4485(92)90017-5","mag":"2066226138"},"language":"en","primary_location":{"id":"doi:10.1016/0010-4485(92)90017-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0010-4485(92)90017-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer-Aided Design","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/A5112418767","display_name":"Phillip J. Barry","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P.J. Barry","raw_affiliation_strings":["Computer Science Department, University of Minnesota 4-192 EE/Csci Building, 200 Union Street SE, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, University of Minnesota 4-192 EE/Csci Building, 200 Union Street SE, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112884801","display_name":"J.C. Beatty","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J.C. Beatty","raw_affiliation_strings":["Computer Graphics Laboratory, Comoputer Science Department, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Graphics Laboratory, Comoputer Science Department, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086134113","display_name":"Ron Goldman","orcid":"https://orcid.org/0000-0001-8720-3860"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.N. Goldman","raw_affiliation_strings":["Computer Science Department, Rice University, PO Box 1892, Houston, TX 77251, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Rice University, PO Box 1892, Houston, TX 77251, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112418767"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":1.0586,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7650877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"24","issue":"12","first_page":"627","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9538000226020813,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/basis","display_name":"Basis (linear algebra)","score":0.5699673891067505},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5504827499389648},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.5089726448059082},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.5006873607635498},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4894382059574127},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4567798376083374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34060490131378174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24809381365776062},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1688830554485321},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09530249238014221},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07958054542541504}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5699673891067505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5504827499389648},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.5089726448059082},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.5006873607635498},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4894382059574127},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4567798376083374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34060490131378174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24809381365776062},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1688830554485321},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09530249238014221},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07958054542541504}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0010-4485(92)90017-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0010-4485(92)90017-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer-Aided Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320330380","display_name":"Information Technology Research Centre","ror":null},{"id":"https://openalex.org/F4320334601","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W257525205","https://openalex.org/W1551207461","https://openalex.org/W1978746189","https://openalex.org/W2000366549","https://openalex.org/W2127813934","https://openalex.org/W2162870748","https://openalex.org/W6926190947"],"related_works":["https://openalex.org/W2006953814","https://openalex.org/W2542637001","https://openalex.org/W1972782945","https://openalex.org/W3212981098","https://openalex.org/W4221090543","https://openalex.org/W2130622405","https://openalex.org/W2109887391","https://openalex.org/W4380301593","https://openalex.org/W1748978355","https://openalex.org/W2131662362"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-19T08:33:51.333923","created_date":"2025-10-10T00:00:00"}
