{"id":"https://openalex.org/W2077837670","doi":"https://doi.org/10.1016/s0010-4485(01)00137-3","title":"Flatness tolerance evaluation: an approximate minimum zone solution","display_name":"Flatness tolerance evaluation: an approximate minimum zone solution","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2077837670","doi":"https://doi.org/10.1016/s0010-4485(01)00137-3","mag":"2077837670"},"language":"en","primary_location":{"id":"doi:10.1016/s0010-4485(01)00137-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(01)00137-3","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/A5078125284","display_name":"Xiangyang Zhu","orcid":"https://orcid.org/0000-0003-4914-6636"},"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":"Xiangyang Zhu","raw_affiliation_strings":["School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, PR China","School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, 200030 PR China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, PR China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, 200030 PR China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","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, PR China","School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, 200030 PR China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, PR China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai, 200030 PR China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077486208"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":1.6451,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.83191011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"34","issue":"9","first_page":"655","last_page":"664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9951000213623047,"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"}},"topics":[{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9951000213623047,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9839000105857849,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9825999736785889,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/flatness","display_name":"Flatness (cosmology)","score":0.8072412014007568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6463065147399902},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6027112007141113},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.544048011302948},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5228331685066223},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.5069429874420166},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47647902369499207},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4557509124279022},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41731441020965576},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4011289179325104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3964014947414398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3343714475631714},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.333159476518631},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25327637791633606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20689657330513},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19933432340621948},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08820635080337524}],"concepts":[{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.8072412014007568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6463065147399902},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6027112007141113},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.544048011302948},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5228331685066223},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.5069429874420166},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47647902369499207},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4557509124279022},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41731441020965576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4011289179325104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3964014947414398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3343714475631714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.333159476518631},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25327637791633606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20689657330513},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19933432340621948},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08820635080337524},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0010-4485(01)00137-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0010-4485(01)00137-3","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1495119384","https://openalex.org/W1593563200","https://openalex.org/W1965128243","https://openalex.org/W1974586245","https://openalex.org/W1993058867","https://openalex.org/W1999970601","https://openalex.org/W2000130783","https://openalex.org/W2003787565","https://openalex.org/W2029822880","https://openalex.org/W2036338414","https://openalex.org/W2056479408","https://openalex.org/W2068458394","https://openalex.org/W2070539244","https://openalex.org/W2080724414","https://openalex.org/W2085641990","https://openalex.org/W2094048330","https://openalex.org/W2709730503","https://openalex.org/W2981470219","https://openalex.org/W4250397844","https://openalex.org/W6740026986","https://openalex.org/W6769728549"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2094757704","https://openalex.org/W2114808974","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W3125179639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
