{"id":"https://openalex.org/W4283647285","doi":"https://doi.org/10.1007/s40314-022-01941-z","title":"Algorithms for computing the approximation of offsets of toric B\u00e9zier curves","display_name":"Algorithms for computing the approximation of offsets of toric B\u00e9zier curves","publication_year":2022,"publication_date":"2022-06-27","ids":{"openalex":"https://openalex.org/W4283647285","doi":"https://doi.org/10.1007/s40314-022-01941-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01941-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01941-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5102962448","display_name":"Xuanyi Zhao","orcid":"https://orcid.org/0009-0004-2014-9125"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuanyi Zhao","raw_affiliation_strings":["School of Science, Dalian Maritime University, Dalian, 116026, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Dalian Maritime University, Dalian, 116026, China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014105999","display_name":"Ying Wang","orcid":"https://orcid.org/0000-0002-1123-369X"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Wang","raw_affiliation_strings":["School of Science, Dalian Maritime University, Dalian, 116026, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Dalian Maritime University, Dalian, 116026, China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052702697","display_name":"Jinggai Li","orcid":null},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinggai Li","raw_affiliation_strings":["College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081319200","display_name":"Chun-Gang Zhu","orcid":"https://orcid.org/0000-0002-0769-0812"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chungang Zhu","raw_affiliation_strings":["School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081319200"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":null,"apc_paid":null,"fwci":0.4981,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.55957905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":"5","first_page":null,"last_page":null},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9817000031471252,"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"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9623000025749207,"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/geometric-design","display_name":"Geometric design","score":0.744560956954956},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.6582757234573364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6298339366912842},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.6106022596359253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5803111791610718},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.5595422387123108},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4667060375213623},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.4511600136756897},{"id":"https://openalex.org/keywords/computer-aided-design","display_name":"Computer Aided Design","score":0.41824042797088623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.352908194065094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23841926455497742}],"concepts":[{"id":"https://openalex.org/C40319758","wikidata":"https://www.wikidata.org/wiki/Q5535477","display_name":"Geometric design","level":2,"score":0.744560956954956},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.6582757234573364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6298339366912842},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.6106022596359253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5803111791610718},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.5595422387123108},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4667060375213623},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.4511600136756897},{"id":"https://openalex.org/C119823426","wikidata":"https://www.wikidata.org/wiki/Q184793","display_name":"Computer Aided Design","level":2,"score":0.41824042797088623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.352908194065094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23841926455497742},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-01941-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01941-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7400000095367432}],"awards":[{"id":"https://openalex.org/G5415294326","display_name":null,"funder_award_id":"11801053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5610621390","display_name":"\u53c2\u6570\u66f2\u9762/\u4f53\u7684\u7406\u8bba\u53ca\u5176\u5728\u7b49\u51e0\u4f55\u5206\u6790\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"12071057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8440234892","display_name":null,"funder_award_id":"3132022203","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W25439299","https://openalex.org/W61015070","https://openalex.org/W1516146657","https://openalex.org/W1601543771","https://openalex.org/W1968135814","https://openalex.org/W1977171665","https://openalex.org/W1978242738","https://openalex.org/W1978588877","https://openalex.org/W1982050773","https://openalex.org/W1994784512","https://openalex.org/W2011082654","https://openalex.org/W2019677201","https://openalex.org/W2028666810","https://openalex.org/W2033857673","https://openalex.org/W2036553173","https://openalex.org/W2041180141","https://openalex.org/W2045543248","https://openalex.org/W2054182290","https://openalex.org/W2067265645","https://openalex.org/W2071501699","https://openalex.org/W2072874134","https://openalex.org/W2076231474","https://openalex.org/W2105117707","https://openalex.org/W2131230133","https://openalex.org/W2158435770","https://openalex.org/W2158631240","https://openalex.org/W2473446198","https://openalex.org/W2576597290","https://openalex.org/W2765736893","https://openalex.org/W2901507677","https://openalex.org/W3000695407","https://openalex.org/W4210865038","https://openalex.org/W4283650342"],"related_works":["https://openalex.org/W128301398","https://openalex.org/W2376725161","https://openalex.org/W1993974580","https://openalex.org/W2138946104","https://openalex.org/W2382754332","https://openalex.org/W4248257424","https://openalex.org/W1979234179","https://openalex.org/W2094624329","https://openalex.org/W2329209542","https://openalex.org/W3146523919"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}