{"id":"https://openalex.org/W2013408538","doi":"https://doi.org/10.1109/tim.2014.2329742","title":"Use of Two Planar Gratings to Measure 3-DOF Displacements of Planar Moving Stage","display_name":"Use of Two Planar Gratings to Measure 3-DOF Displacements of Planar Moving Stage","publication_year":2014,"publication_date":"2014-06-20","ids":{"openalex":"https://openalex.org/W2013408538","doi":"https://doi.org/10.1109/tim.2014.2329742","mag":"2013408538"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2014.2329742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2014.2329742","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/A5063458887","display_name":"Yongmeng Liu","orcid":"https://orcid.org/0000-0002-1007-1588"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongmeng Liu","raw_affiliation_strings":["Harbin Institute of Technology, Harbin, China","Harbin Institute of Technology Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Maoqiang Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maoqiang Yuan","raw_affiliation_strings":["Harbin Institute of Technology, Harbin, China","Harbin Institute of Technology Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022754016","display_name":"Jieru Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jieru Cao","raw_affiliation_strings":["Harbin Institute of Technology, Harbin, China","Harbin Institute of Technology Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033369081","display_name":"Jiwen Cui","orcid":"https://orcid.org/0000-0003-2480-1200"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwen Cui","raw_affiliation_strings":["Harbin Institute of Technology, Harbin, China","Harbin Institute of Technology Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090605103","display_name":"Jiubin Tan","orcid":"https://orcid.org/0000-0002-0941-7932"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiubin Tan","raw_affiliation_strings":["Harbin Institute of Technology, Harbin, China","Harbin Institute of Technology Harbin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Harbin Institute of Technology Harbin, China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063458887"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":1.117,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78704511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"64","issue":"1","first_page":"163","last_page":"169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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/T13928","display_name":"Advanced Sensor Technologies Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/planar","display_name":"Planar","score":0.9011508226394653},{"id":"https://openalex.org/keywords/grating","display_name":"Grating","score":0.7359675168991089},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.7205390334129333},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6073525547981262},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.5223468542098999},{"id":"https://openalex.org/keywords/diffraction-grating","display_name":"Diffraction grating","score":0.4788084626197815},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.47718703746795654},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4537024199962616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35326629877090454},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34032461047172546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24276024103164673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17452305555343628},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12742117047309875},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.09380719065666199},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.060156822204589844}],"concepts":[{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.9011508226394653},{"id":"https://openalex.org/C2777813233","wikidata":"https://www.wikidata.org/wiki/Q1527816","display_name":"Grating","level":2,"score":0.7359675168991089},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.7205390334129333},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6073525547981262},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.5223468542098999},{"id":"https://openalex.org/C126753812","wikidata":"https://www.wikidata.org/wiki/Q653294","display_name":"Diffraction grating","level":3,"score":0.4788084626197815},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.47718703746795654},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4537024199962616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35326629877090454},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34032461047172546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24276024103164673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17452305555343628},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12742117047309875},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.09380719065666199},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.060156822204589844},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2014.2329742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2014.2329742","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":[],"awards":[{"id":"https://openalex.org/G1034279688","display_name":null,"funder_award_id":"2012ZA77001","funder_id":"https://openalex.org/F4320322857","funder_display_name":"Aeronautical Science Foundation of China"},{"id":"https://openalex.org/G1772904993","display_name":null,"funder_award_id":"61078049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2084130963","display_name":null,"funder_award_id":"HIT.NSRIF.2010106","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2311322622","display_name":null,"funder_award_id":"201104445","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G2688887761","display_name":null,"funder_award_id":"61108052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4685329643","display_name":null,"funder_award_id":"201104417","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5870446635","display_name":null,"funder_award_id":"20100481011","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322857","display_name":"Aeronautical Science Foundation of China","ror":"https://ror.org/02wq41p38"},{"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":14,"referenced_works":["https://openalex.org/W1983409344","https://openalex.org/W1993661860","https://openalex.org/W1997491027","https://openalex.org/W2007077251","https://openalex.org/W2020295449","https://openalex.org/W2037136032","https://openalex.org/W2039924400","https://openalex.org/W2052264557","https://openalex.org/W2052506786","https://openalex.org/W2077042122","https://openalex.org/W2090033758","https://openalex.org/W2106979729","https://openalex.org/W2171612630","https://openalex.org/W2416247024"],"related_works":["https://openalex.org/W2073524920","https://openalex.org/W4283512484","https://openalex.org/W2126995815","https://openalex.org/W2240569495","https://openalex.org/W2089749866","https://openalex.org/W2351403114","https://openalex.org/W4229009453","https://openalex.org/W2055615132","https://openalex.org/W4321262545","https://openalex.org/W2046393567"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,34,38,65],"3-DOF":[4,62,168],"displacement":[5,49,169],"(x,":[6],"y,":[7],"R":[8],"<sub":[9],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">z</sub>":[11],")":[12],"measurement":[13,25,50,79,117,160],"method":[14,80,125,146,161],"for":[15,170],"planar":[16,22,30,39,44,66,75,171],"moving":[17,40,67,172],"stage":[18,41,68],"based":[19],"on":[20],"two":[21,29,74],"gratings.":[23,76,152],"The":[24,54,77],"system":[26],"consists":[27],"of":[28,37,64,73,87,114,147],"gratings":[31,92],"placed":[32],"in":[33,131],"diagonal":[35],"line":[36],"while":[42],"each":[43],"grating":[45],"can":[46,126,154,162],"acquire":[47],"2-D":[48],"at":[51],"one":[52],"time.":[53],"mathematical":[55,103],"model":[56,104],"is":[57],"then":[58],"established":[59],"to":[60,70,110,166],"calculate":[61],"displacements":[63],"according":[69],"four":[71],"outputs":[72],"presented":[78,116,124,159],"not":[81],"only":[82],"solves":[83],"the":[84,98,112,115,123,128,145,158],"mounting":[85],"inconvenience":[86],"using":[88,148],"three":[89,138,149],"1-D":[90,150],"linear":[91,151],"but":[93],"also":[94],"calculates":[95],"and":[96,133,139],"compensates":[97],"assembly":[99],"misalignment":[100],"errors":[101,130],"by":[102,137],"itself.":[105],"Experiments":[106],"are":[107],"carried":[108],"out":[109],"prove":[111],"superiority":[113],"method.":[118],"Experimental":[119],"results":[120],"indicate":[121],"that":[122,157],"reduce":[127],"coupling":[129],"x":[132],"y":[134],"directions":[135],"approximately":[136],"15":[140],"times,":[141],"respectively,":[142],"compared":[143],"with":[144],"It":[153],"be":[155,163],"concluded":[156],"effectively":[164],"used":[165],"achieve":[167],"stage.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
