{"id":"https://openalex.org/W2050074870","doi":"https://doi.org/10.1109/cadcg.2007.4407919","title":"Approximation of Circular Arcs by C<sup>2</sup> Cubic Polynomial B-splines","display_name":"Approximation of Circular Arcs by C<sup>2</sup> Cubic Polynomial B-splines","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2050074870","doi":"https://doi.org/10.1109/cadcg.2007.4407919","mag":"2050074870"},"language":"en","primary_location":{"id":"doi:10.1109/cadcg.2007.4407919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2007.4407919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100753558","display_name":"Yang Wu","orcid":"https://orcid.org/0000-0003-0931-7648"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Yang","raw_affiliation_strings":["Laboratory of Image Science & Technology School of Computer Science & Engineering, South-East University, Nanjing, China","Southeast university, Nanjing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Image Science & Technology School of Computer Science & Engineering, South-East University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Southeast university, Nanjing","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067118299","display_name":"Xiuzi Ye","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":false,"raw_author_name":"Xiuzi Ye","raw_affiliation_strings":["College of Computer Science/State Key Laboratory of CAD&CG, University of Zhejiang, Hangzhou, China","College of Computer Science/State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China, Solid Works Corporation, 300 Baker Avenue, Concord, MA 01742, USA. yxz@cs.zju.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science/State Key Laboratory of CAD&CG, University of Zhejiang, Hangzhou, China","institution_ids":[]},{"raw_affiliation_string":"College of Computer Science/State Key Lab of CAD&CG, Zhejiang University, Hangzhou, 310027, P.R. China, Solid Works Corporation, 300 Baker Avenue, Concord, MA 01742, USA. yxz@cs.zju.edu.cn","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":null,"first_page":"417","last_page":"420"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9879000186920166,"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/arc","display_name":"Arc (geometry)","score":0.6693727970123291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5810331106185913},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.5740753412246704},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5571025609970093},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.5030953288078308},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.500288724899292},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4395100474357605},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4250437021255493},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.41140851378440857},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36114954948425293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35154908895492554},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11440619826316833},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.09083381295204163}],"concepts":[{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.6693727970123291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5810331106185913},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.5740753412246704},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5571025609970093},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.5030953288078308},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.500288724899292},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4395100474357605},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4250437021255493},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.41140851378440857},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36114954948425293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35154908895492554},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11440619826316833},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09083381295204163},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cadcg.2007.4407919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cadcg.2007.4407919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1998445501","https://openalex.org/W2009620679","https://openalex.org/W2014191073","https://openalex.org/W2028706400","https://openalex.org/W2037463716","https://openalex.org/W2048794487","https://openalex.org/W2050276016","https://openalex.org/W2054341572","https://openalex.org/W2064028512","https://openalex.org/W2067586055","https://openalex.org/W2068686576","https://openalex.org/W2092585034","https://openalex.org/W2093012077","https://openalex.org/W2915042505"],"related_works":["https://openalex.org/W2373603847","https://openalex.org/W1487120727","https://openalex.org/W2990252123","https://openalex.org/W2372501780","https://openalex.org/W2131662362","https://openalex.org/W2052425187","https://openalex.org/W2766141905","https://openalex.org/W3153287478","https://openalex.org/W3084529718","https://openalex.org/W2148605194"],"abstract_inverted_index":{"An":[0],"algorithm":[1,19],"to":[2],"approximate":[3,33],"circle/circular":[4,36],"arc":[5,37],"with":[6,27],"C2":[7,23],"cubic":[8,24],"B-spline":[9,25],"curve":[10,26],"is":[11],"presented.":[12],"Given":[13],"a":[14,22],"prescribed":[15],"tolerance":[16],"e,":[17],"the":[18,34],"can":[20,43],"find":[21],"minimal":[28],"number":[29],"of":[30],"segments":[31],"that":[32],"given":[35],"within":[38],"e.":[39],"The":[40],"method":[41],"developed":[42],"be":[44],"used":[45],"for":[46],"various":[47],"applications":[48],"in":[49],"CAD/CAM,":[50],"biomechanical":[51],"engineering":[52],"and":[53],"other":[54],"fieIds.":[55]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}