{"id":"https://openalex.org/W1973654620","doi":"https://doi.org/10.1016/s0167-8396(99)00015-1","title":"The rational Bernstein bases and the multirational blossoms","display_name":"The rational Bernstein bases and the multirational blossoms","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W1973654620","doi":"https://doi.org/10.1016/s0167-8396(99)00015-1","mag":"1973654620"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8396(99)00015-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(99)00015-1","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"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 Geometric 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/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":true,"raw_author_name":"Ron Goldman","raw_affiliation_strings":["Department of Computer Science, MS-132, Rice University, 6100 Main Street, Houston, TX77005-1892, USA","Department of Computer Science-MS-132, Rice University, 6100 Main Street, Houston, TX77005-1892, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, MS-132, Rice University, 6100 Main Street, Houston, TX77005-1892, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Department of Computer Science-MS-132, Rice University, 6100 Main Street, Houston, TX77005-1892, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086134113"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.6481,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87708422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"8","first_page":"701","last_page":"738"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9812999963760376,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8574055433273315},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7504854202270508},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7059875726699829},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5720189809799194},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5686373710632324},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5528544783592224},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.5504994988441467},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4511682987213135},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44720685482025146},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4189049005508423},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37456637620925903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3104315996170044},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19579479098320007}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8574055433273315},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7504854202270508},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7059875726699829},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5720189809799194},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5686373710632324},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5528544783592224},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.5504994988441467},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4511682987213135},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44720685482025146},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4189049005508423},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37456637620925903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3104315996170044},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19579479098320007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8396(99)00015-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8396(99)00015-1","pdf_url":null,"source":{"id":"https://openalex.org/S135221619","display_name":"Computer Aided Geometric Design","issn_l":"0167-8396","issn":["0167-8396","1879-2332"],"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 Geometric Design","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W89091676","https://openalex.org/W833206023","https://openalex.org/W1978413229","https://openalex.org/W1986211018","https://openalex.org/W1996989762","https://openalex.org/W1998380859","https://openalex.org/W2003173111","https://openalex.org/W2034966370","https://openalex.org/W2048520219","https://openalex.org/W2050066249","https://openalex.org/W2052479683","https://openalex.org/W2054283563","https://openalex.org/W2058833320","https://openalex.org/W2066838873","https://openalex.org/W2071970195","https://openalex.org/W2075273870","https://openalex.org/W2090344516","https://openalex.org/W2145939002","https://openalex.org/W2171369888","https://openalex.org/W2292099395","https://openalex.org/W2481414690","https://openalex.org/W2990299855","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1997494471","https://openalex.org/W2097504581","https://openalex.org/W2281104490","https://openalex.org/W2194207844","https://openalex.org/W1994950933","https://openalex.org/W2603457763","https://openalex.org/W2002088832","https://openalex.org/W2969628250","https://openalex.org/W2953297366","https://openalex.org/W2378159473"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
