{"id":"https://openalex.org/W2073919568","doi":"https://doi.org/10.1007/bf02714091","title":"Uniform trigonometric polynomial B-spline curves","display_name":"Uniform trigonometric polynomial B-spline curves","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2073919568","doi":"https://doi.org/10.1007/bf02714091","mag":"2073919568"},"language":"en","primary_location":{"id":"doi:10.1007/bf02714091","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02714091","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science in China Series F Information Sciences","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/A5052269220","display_name":"Yonggang L\u00fc","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yonggang L\u00fc","raw_affiliation_strings":["Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032478523","display_name":"Guozhao Wang","orcid":"https://orcid.org/0000-0003-2397-197X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guozhao Wang","raw_affiliation_strings":["Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011651830","display_name":"Xunnian Yang","orcid":"https://orcid.org/0000-0001-7501-1378"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xunnian Yang","raw_affiliation_strings":["Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, 310027, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052269220"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":1.859,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.84735191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"5","first_page":"335","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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":0.9316999912261963,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.909600019454956,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.7598708868026733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.710106372833252},{"id":"https://openalex.org/keywords/geometric-design","display_name":"Geometric design","score":0.6503403782844543},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.6139562726020813},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.4914363622665405},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.48811444640159607},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4636830687522888},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4634418785572052},{"id":"https://openalex.org/keywords/family-of-curves","display_name":"Family of curves","score":0.4416205585002899},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4222196340560913},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4206240177154541},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3641864061355591},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3255237340927124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30320245027542114},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21785512566566467}],"concepts":[{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.7598708868026733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.710106372833252},{"id":"https://openalex.org/C40319758","wikidata":"https://www.wikidata.org/wiki/Q5535477","display_name":"Geometric design","level":2,"score":0.6503403782844543},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.6139562726020813},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.4914363622665405},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.48811444640159607},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4636830687522888},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4634418785572052},{"id":"https://openalex.org/C53622353","wikidata":"https://www.wikidata.org/wiki/Q1518913","display_name":"Family of curves","level":2,"score":0.4416205585002899},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4222196340560913},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4206240177154541},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3641864061355591},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3255237340927124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30320245027542114},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21785512566566467},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02714091","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02714091","pdf_url":null,"source":{"id":"https://openalex.org/S4210224633","display_name":"Science in China Series F Information Sciences","issn_l":"1009-2757","issn":["1009-2757","1862-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Science in China Series F Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W157335058","https://openalex.org/W575696198","https://openalex.org/W1548879090","https://openalex.org/W1551207461","https://openalex.org/W1558233590","https://openalex.org/W2003173111","https://openalex.org/W2024007498","https://openalex.org/W2046403519","https://openalex.org/W2048045260","https://openalex.org/W2062008843","https://openalex.org/W2062377090","https://openalex.org/W2064729415","https://openalex.org/W2087873468","https://openalex.org/W2090344516","https://openalex.org/W2092884341","https://openalex.org/W4205649593","https://openalex.org/W4230104359","https://openalex.org/W4301911764"],"related_works":["https://openalex.org/W4387031439","https://openalex.org/W630157503","https://openalex.org/W2023470618","https://openalex.org/W1498933441","https://openalex.org/W2153015377","https://openalex.org/W644441814","https://openalex.org/W3022244109","https://openalex.org/W2060643018","https://openalex.org/W3110009415","https://openalex.org/W2557409442"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
