{"id":"https://openalex.org/W2924207063","doi":"https://doi.org/10.1115/1.4043226","title":"On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards","display_name":"On Algorithms and Heuristics for Constrained Least-Squares Fitting of Circles and Spheres to Support Standards","publication_year":2019,"publication_date":"2019-03-22","ids":{"openalex":"https://openalex.org/W2924207063","doi":"https://doi.org/10.1115/1.4043226","mag":"2924207063"},"language":"en","primary_location":{"id":"doi:10.1115/1.4043226","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4043226","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","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/A5049339564","display_name":"Craig M. Shakarji","orcid":null},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"funder","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]},{"id":"https://openalex.org/I4210109969","display_name":"Physical Measurement Laboratory","ror":"https://ror.org/016s8vs02","country_code":"US","type":"government","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210109969"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Craig M. Shakarji","raw_affiliation_strings":["Mem. ASME Physical Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899 e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mem. ASME Physical Measurement Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899 e-mail:","institution_ids":["https://openalex.org/I4210109969","https://openalex.org/I1321296531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101718449","display_name":"Vijay Srinivasan","orcid":"https://orcid.org/0000-0002-4653-8821"},"institutions":[{"id":"https://openalex.org/I1321296531","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416","country_code":"US","type":"funder","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vijay Srinivasan","raw_affiliation_strings":["Fellow ASME Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899 e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fellow ASME Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899 e-mail:","institution_ids":["https://openalex.org/I1321296531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049339564","https://openalex.org/A5101718449"],"corresponding_institution_ids":["https://openalex.org/I1321296531","https://openalex.org/I4210109969"],"apc_list":null,"apc_paid":null,"fwci":0.1482,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.44965922,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9977999925613403,"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/heuristics","display_name":"Heuristics","score":0.8599140644073486},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.578840434551239},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5628765821456909},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5544633865356445},{"id":"https://openalex.org/keywords/geodetic-datum","display_name":"Geodetic datum","score":0.545372486114502},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5064336061477661},{"id":"https://openalex.org/keywords/metrology","display_name":"Metrology","score":0.4841350018978119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4839054048061371},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48214957118034363},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.4470847249031067},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40749964118003845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29924559593200684},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20482859015464783},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1581580638885498},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09518620371818542},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06640210747718811}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8599140644073486},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.578840434551239},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5628765821456909},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5544633865356445},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.545372486114502},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5064336061477661},{"id":"https://openalex.org/C195766429","wikidata":"https://www.wikidata.org/wiki/Q394","display_name":"Metrology","level":2,"score":0.4841350018978119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4839054048061371},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48214957118034363},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.4470847249031067},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40749964118003845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29924559593200684},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20482859015464783},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1581580638885498},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09518620371818542},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06640210747718811},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","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/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4043226","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4043226","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5299999713897705}],"awards":[],"funders":[{"id":"https://openalex.org/F4320332178","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W40717818","https://openalex.org/W1981766552","https://openalex.org/W1995166910","https://openalex.org/W1995447959","https://openalex.org/W2059164920","https://openalex.org/W2079518324","https://openalex.org/W2297322676","https://openalex.org/W2319895531","https://openalex.org/W2345429635","https://openalex.org/W2783707946","https://openalex.org/W2789724889","https://openalex.org/W2893468084","https://openalex.org/W2982209274","https://openalex.org/W3127142385","https://openalex.org/W3128144145","https://openalex.org/W3173138228"],"related_works":["https://openalex.org/W2412470376","https://openalex.org/W2964093098","https://openalex.org/W2963447316","https://openalex.org/W4313437384","https://openalex.org/W2062843243","https://openalex.org/W2369439249","https://openalex.org/W3020980379","https://openalex.org/W2349272851","https://openalex.org/W2376977622","https://openalex.org/W2756823048"],"abstract_inverted_index":{"Constrained":[0],"least-squares":[1,60],"fitting":[2,45],"has":[3,24],"gained":[4],"considerable":[5],"popularity":[6],"among":[7],"national":[8],"and":[9,32,47,53,81,85,91,99,108],"international":[10],"standards":[11],"committees":[12],"as":[13,71],"the":[14,27,42,112],"default":[15],"method":[16],"for":[17],"establishing":[18],"datums":[19],"on":[20,77],"manufactured":[21],"parts.":[22],"This":[23,74],"resulted":[25],"in":[26,35],"emergence":[28],"of":[29,44,65,111],"several":[30],"interesting":[31],"urgent":[33],"problems":[34],"computational":[36],"coordinate":[37],"metrology.":[38],"Among":[39],"them":[40],"is":[41],"problem":[43],"inscribing":[46],"circumscribing":[48],"circles":[49,90],"(in":[50,55],"two":[51],"dimensions)":[52,57],"spheres":[54],"three":[56],"using":[58],"constrained":[59],"criterion":[61],"to":[62,87,104],"a":[63,72],"set":[64],"points":[66],"that":[67,95],"are":[68,101],"usually":[69],"described":[70],"\u201cpoint-cloud.\u201d":[73],"paper":[75],"builds":[76],"earlier":[78],"theoretical":[79],"work,":[80],"provides":[82],"practical":[83],"algorithms":[84,98],"heuristics":[86,100],"compute":[88],"such":[89],"spheres.":[92],"Representative":[93],"codes":[94],"implement":[96],"these":[97],"also":[102],"given":[103],"encourage":[105],"industrial":[106],"use":[107],"rapid":[109],"adoption":[110],"emerging":[113],"standards.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}