{"id":"https://openalex.org/W2109711139","doi":"https://doi.org/10.1109/tim.2012.2215116","title":"A Holistic Self-Calibration Approach for Determination of Three-Dimensional Stage Error","display_name":"A Holistic Self-Calibration Approach for Determination of Three-Dimensional Stage Error","publication_year":2012,"publication_date":"2012-11-15","ids":{"openalex":"https://openalex.org/W2109711139","doi":"https://doi.org/10.1109/tim.2012.2215116","mag":"2109711139"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2012.2215116","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2012.2215116","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","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/A5079033650","display_name":"Chuxiong Hu","orcid":"https://orcid.org/0000-0002-3504-3065"},"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"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuxiong Hu","raw_affiliation_strings":["State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, China","Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112890006","display_name":"Yu Zhu","orcid":"https://orcid.org/0000-0002-6186-6874"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhu","raw_affiliation_strings":["Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056545586","display_name":"Jinchun Hu","orcid":"https://orcid.org/0000-0003-2733-6738"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinchun Hu","raw_affiliation_strings":["Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025719931","display_name":"Dengfeng Xu","orcid":"https://orcid.org/0000-0002-1887-6460"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dengfeng Xu","raw_affiliation_strings":["Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100656178","display_name":"Ming Zhang","orcid":"https://orcid.org/0000-0002-3820-5074"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Zhang","raw_affiliation_strings":["Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Precision Instruments and Mechanology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.815,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85978094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"62","issue":"2","first_page":"483","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":1.0,"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":1.0,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9994999766349792,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/calibration","display_name":"Calibration","score":0.63944411277771},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.587660014629364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.58575040102005},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5776612758636475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5389407873153687},{"id":"https://openalex.org/keywords/metrology","display_name":"Metrology","score":0.5331729054450989},{"id":"https://openalex.org/keywords/observational-error","display_name":"Observational error","score":0.48821213841438293},{"id":"https://openalex.org/keywords/artifact","display_name":"Artifact (error)","score":0.47898435592651367},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.41143277287483215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29064080119132996},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2247326374053955},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1056663990020752}],"concepts":[{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.63944411277771},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.587660014629364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.58575040102005},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5776612758636475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5389407873153687},{"id":"https://openalex.org/C195766429","wikidata":"https://www.wikidata.org/wiki/Q394","display_name":"Metrology","level":2,"score":0.5331729054450989},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.48821213841438293},{"id":"https://openalex.org/C2779010991","wikidata":"https://www.wikidata.org/wiki/Q2720909","display_name":"Artifact (error)","level":2,"score":0.47898435592651367},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.41143277287483215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29064080119132996},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2247326374053955},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1056663990020752},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2012.2215116","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2012.2215116","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1575871655","https://openalex.org/W1964718022","https://openalex.org/W1971824495","https://openalex.org/W1973825706","https://openalex.org/W1980565371","https://openalex.org/W2014816982","https://openalex.org/W2038798890","https://openalex.org/W2044405453","https://openalex.org/W2053808336","https://openalex.org/W2075718327","https://openalex.org/W2086560773","https://openalex.org/W2093637697","https://openalex.org/W2095090409","https://openalex.org/W2112169767","https://openalex.org/W2128677843","https://openalex.org/W2133468814","https://openalex.org/W2149797967","https://openalex.org/W2154094057","https://openalex.org/W2154790847","https://openalex.org/W2161227715","https://openalex.org/W2300426106"],"related_works":["https://openalex.org/W52840052","https://openalex.org/W1998546186","https://openalex.org/W2061967405","https://openalex.org/W1741504538","https://openalex.org/W1687852313","https://openalex.org/W3029243869","https://openalex.org/W2019696434","https://openalex.org/W2502336004","https://openalex.org/W3162837891","https://openalex.org/W2719863981"],"abstract_inverted_index":{"As":[0],"previous":[1],"self-calibration":[2,17,125],"technologies":[3],"are":[4,45,73,91,108,156],"mostly":[5],"limited":[6],"to":[7,47,159],"1-D":[8],"or":[9],"2-D":[10],"metrology":[11,24],"systems,":[12],"a":[13,33,95,161],"holistic":[14],"and":[15,52,69,104,132,164],"explicit":[16],"strategy":[18],"is":[19,129],"proposed":[20,138,168],"for":[21,121],"3-D":[22,40,56],"precision":[23],"stages":[25],"in":[26,170],"this":[27],"paper.":[28],"With":[29],"different":[30],"alignments":[31],"of":[32,54,62,87,123,149,166],"rigid":[34],"cubic":[35],"artifact":[36,106],"on":[37],"the":[38,49,55,63,67,70,76,88,101,105,133,137,147,167],"uncalibrated":[39],"stage,":[41],"four":[42],"measurement":[43,79,152],"views":[44,80],"constructed":[46],"provide":[48,160],"symmetry,":[50],"transitivity,":[51],"redundancy":[53],"stage":[57,64,89],"error.":[58],"The":[59,84],"first-order":[60],"components":[61,86],"error,":[65],"i.e.,":[66],"nonorthogonality":[68],"scale":[71],"difference,":[72],"determined":[74,93],"through":[75,94,111],"first":[77],"three":[78],"with":[81],"mathematical":[82],"processing.":[83],"residual":[85],"error":[90,103,107],"then":[92],"least":[96],"square-based":[97],"calculation":[98],"law.":[99],"Additionally,":[100],"misalignment":[102],"all":[109],"identified":[110],"rigorous":[112],"algebraic":[113],"manipulation,":[114],"which":[115],"may":[116],"be":[117],"useful":[118],"as":[119],"foundation":[120],"synthesis":[122],"other":[124],"algorithms.":[126],"Computer":[127],"simulation":[128],"carried":[130],"out,":[131],"results":[134,155],"validate":[135],"that":[136],"scheme":[139],"can":[140],"achieve":[141],"good":[142],"calibration":[143],"accuracy":[144],"even":[145],"under":[146],"existence":[148],"various":[150],"random":[151],"noises.":[153],"Experimental":[154],"also":[157],"presented":[158],"preliminary":[162],"illustration":[163],"validation":[165],"approach":[169],"practical":[171],"applications.":[172]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
