{"id":"https://openalex.org/W2167599128","doi":"https://doi.org/10.1016/s0010-4485(01)00210-x","title":"A steepest descent algorithm for circularity evaluation","display_name":"A steepest descent algorithm for circularity evaluation","publication_year":2002,"publication_date":"2002-10-03","ids":{"openalex":"https://openalex.org/W2167599128","doi":"https://doi.org/10.1016/s0010-4485(01)00210-x","mag":"2167599128"},"language":"en","primary_location":{"id":"doi:10.1016/s0010-4485(01)00210-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(01)00210-x","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/A5100748869","display_name":"Li Zhu","orcid":"https://orcid.org/0000-0001-5249-6536"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Min Zhu","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077486208","display_name":"Han Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Han Ding","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, People's Republic of China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100519007","display_name":"Youlun Xiong","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"You-Lun Xiong","raw_affiliation_strings":["School of Mechanical Science & Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science & Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077486208"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":4.3033,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.94171228,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"3","first_page":"255","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9986000061035156,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12549","display_name":"Image and Object Detection Techniques","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/algorithm","display_name":"Algorithm","score":0.6579222679138184},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6551142930984497},{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.5217890739440918},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5190392136573792},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5095608234405518},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5012247562408447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49744608998298645},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49301406741142273},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4899708330631256},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47270819544792175},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4484621286392212},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44046691060066223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42843517661094666},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14753097295761108},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.12098488211631775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11610597372055054}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6579222679138184},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6551142930984497},{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.5217890739440918},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5190392136573792},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5095608234405518},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5012247562408447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49744608998298645},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49301406741142273},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4899708330631256},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47270819544792175},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4484621286392212},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44046691060066223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42843517661094666},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14753097295761108},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.12098488211631775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11610597372055054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0010-4485(01)00210-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(01)00210-x","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7099999785423279}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321883","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W40717818","https://openalex.org/W1810836370","https://openalex.org/W1964852464","https://openalex.org/W1966932769","https://openalex.org/W1967768033","https://openalex.org/W1974586245","https://openalex.org/W1974605885","https://openalex.org/W1981625736","https://openalex.org/W1984687204","https://openalex.org/W1986125480","https://openalex.org/W1996144577","https://openalex.org/W2005314985","https://openalex.org/W2026955334","https://openalex.org/W2032794462","https://openalex.org/W2034987735","https://openalex.org/W2035792515","https://openalex.org/W2044438255","https://openalex.org/W2045965096","https://openalex.org/W2056479408","https://openalex.org/W2075479120","https://openalex.org/W2083355793","https://openalex.org/W2089691002","https://openalex.org/W2093522923","https://openalex.org/W2140042570","https://openalex.org/W2167149951","https://openalex.org/W2709730503","https://openalex.org/W3041834803","https://openalex.org/W4205822004","https://openalex.org/W4250785422","https://openalex.org/W6601706738","https://openalex.org/W6740026986"],"related_works":["https://openalex.org/W2393439324","https://openalex.org/W2081157561","https://openalex.org/W3197592642","https://openalex.org/W131846159","https://openalex.org/W1998295157","https://openalex.org/W2027078210","https://openalex.org/W2386196923","https://openalex.org/W2368086325","https://openalex.org/W2015288657","https://openalex.org/W2088010696"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
