{"id":"https://openalex.org/W2900662265","doi":"https://doi.org/10.1109/tase.2018.2875154","title":"Variance-Minimization Iterative Matching Method for Free-Form Surfaces\u2014Part I: Theory and Method","display_name":"Variance-Minimization Iterative Matching Method for Free-Form Surfaces\u2014Part I: Theory and Method","publication_year":2018,"publication_date":"2018-11-19","ids":{"openalex":"https://openalex.org/W2900662265","doi":"https://doi.org/10.1109/tase.2018.2875154","mag":"2900662265"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2018.2875154","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2018.2875154","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and 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/A5002024522","display_name":"He Xie","orcid":"https://orcid.org/0000-0003-3736-5508"},"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":"He Xie","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-3736-5508","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100425944","display_name":"Wenlong Li","orcid":"https://orcid.org/0000-0002-5351-7076"},"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":"Wen-Long Li","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-5351-7076","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053892414","display_name":"Zhouping Yin","orcid":"https://orcid.org/0000-0001-5766-2337"},"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":"Zhou-Ping Yin","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057513904","display_name":"Han Ding","orcid":"https://orcid.org/0000-0003-2905-6369"},"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":"Han Ding","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.2956,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.78183653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"16","issue":"3","first_page":"1181","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5280290842056274},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5167016983032227},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5116003155708313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49345508217811584},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4840540289878845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4336523413658142},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.4200468063354492},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40624719858169556},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1340252161026001}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5280290842056274},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5167016983032227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5116003155708313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49345508217811584},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4840540289878845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4336523413658142},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4200468063354492},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40624719858169556},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1340252161026001},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2018.2875154","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2018.2875154","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6304345930","display_name":null,"funder_award_id":"2015CB057304","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7298260633","display_name":null,"funder_award_id":"51327801","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8249988860","display_name":null,"funder_award_id":"51535004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W162473485","https://openalex.org/W1558297199","https://openalex.org/W1608005596","https://openalex.org/W1979248510","https://openalex.org/W2016839477","https://openalex.org/W2017635859","https://openalex.org/W2018744464","https://openalex.org/W2043161636","https://openalex.org/W2049981393","https://openalex.org/W2052286413","https://openalex.org/W2057960707","https://openalex.org/W2063306916","https://openalex.org/W2069559120","https://openalex.org/W2078357622","https://openalex.org/W2086310066","https://openalex.org/W2091547714","https://openalex.org/W2103544971","https://openalex.org/W2114303419","https://openalex.org/W2116114298","https://openalex.org/W2119851068","https://openalex.org/W2128251042","https://openalex.org/W2130061916","https://openalex.org/W2130558599","https://openalex.org/W2131684094","https://openalex.org/W2134236847","https://openalex.org/W2139958836","https://openalex.org/W2154172350","https://openalex.org/W2158496056","https://openalex.org/W2162362408","https://openalex.org/W2270425654","https://openalex.org/W2344109021","https://openalex.org/W2417145579","https://openalex.org/W2513334592","https://openalex.org/W2515166224","https://openalex.org/W2565441601","https://openalex.org/W2614756467","https://openalex.org/W2792346134","https://openalex.org/W3101921002","https://openalex.org/W3124801651"],"related_works":["https://openalex.org/W1972035260","https://openalex.org/W2794488505","https://openalex.org/W4301594054","https://openalex.org/W1517908938","https://openalex.org/W3125889879","https://openalex.org/W3124422538","https://openalex.org/W2295467472","https://openalex.org/W3046451053","https://openalex.org/W3151522584","https://openalex.org/W2361828096"],"abstract_inverted_index":{"Free-form":[0],"surface":[1,190],"matching":[2,24,186,202,237,276,331],"that":[3,33,49,111,243,304],"aligns":[4],"measured":[5,31,64,203,245,369],"points":[6,32,204,223,246,370],"with":[7,205],"a":[8,12,92,121,135,206,228,256,271,346],"design":[9,68,207],"model":[10,208],"is":[11,27,48,53,106,109,147,174,182,196,283,302,315,341,371],"common":[13],"problem":[14,200],"in":[15,120,151,255,278,333],"manufacturing":[16,211],"automation.":[17],"In":[18,321],"this":[19,265,268,324],"paper,":[20],"an":[21,78],"iterative":[22],"variance-minimization":[23,275],"(VMM)":[25],"method":[26,114,173,273,314,325],"proposed":[28,161,172],"to":[29,66,178,193,209,260,285,317,328,344],"address":[30,264],"have":[34],"measuring":[35,43,72,99,125,179,232,261,290,337],"defects,":[36],"such":[37,213],"as":[38,55,214],"uneven/open":[39,318],"point":[40,65,319],"distributions":[41],"and":[42,70,103,132,144,149,165,176,181,219,252,298,357,361],"noise.":[44],"The":[45,171],"basic":[46],"idea":[47],"the":[50,56,59,67,71,83,87,96,112,140,152,157,160,199,241,244,280,287,294,313,330,334,350,363],"objective":[51,84,153,281],"function":[52,282],"defined":[54,88],"variance":[57],"of":[58,98,159,201,289,336,349,365],"closest":[60],"distance":[61,80,90,137,143,146],"from":[62,240],"each":[63],"model,":[69],"defects":[73,100,126,180,233],"are":[74,168,224],"considered":[75],"by":[76,198,226],"incorporating":[77],"average":[79,89],"item":[81],"into":[82],"function.":[85,154],"Using":[86],"item,":[91],"strategy":[93],"for":[94,184,368],"analyzing":[95],"effect":[97,288],"on":[101,139],"VMM":[102,113,297,305],"existing":[104,299],"methods":[105,238],"presented.":[107],"It":[108],"shown":[110],"does":[115],"not":[116],"easily":[117],"become":[118,253],"trapped":[119,254],"local":[122,257],"optimum":[123],"when":[124],"exist.":[127],"To":[128,155,263],"consider":[129],"convergence":[130,133,164,309],"speed":[131],"stability,":[134],"new":[136,272],"based":[138],"first-order":[141],"point-to-point":[142],"point-to-tangent":[145],"developed":[148],"used":[150],"demonstrate":[156],"availability":[158],"method,":[162],"quadratic":[163,308],"positive":[166],"definiteness":[167],"theoretically":[169],"analyzed.":[170],"efficient":[175],"insensitive":[177,316],"useful":[183],"shape":[185],"tasks":[187],"involving":[188],"free-form":[189],"features.":[191],"Note":[192],"Practitioners-This":[194],"paper":[195,269],"motivated":[197],"automate":[210],"processes":[212],"geometric":[215],"inspection,":[216],"workpiece":[217],"localization,":[218],"allowance":[220],"distribution.":[221],"Measured":[222],"obtained":[225],"applying":[227],"scanning":[229,355,359],"device":[230],"where":[231],"usually":[234],"appear.":[235],"Existing":[236],"suffer":[239],"drawback":[242],"may":[247],"incline":[248],"toward":[249],"dense":[250],"data":[251],"optimum,":[258],"due":[259],"defects.":[262,291],"practical":[266],"issue,":[267],"proposes":[270],"called":[274],"(VMM),":[277],"which":[279],"optimized":[284],"weaken":[286],"By":[292],"examining":[293],"differences":[295],"between":[296],"methods,":[300],"it":[301],"found":[303],"can":[306],"achieve":[307],"speed.":[310],"Most":[311],"importantly,":[312],"distributions.":[320],"summary:":[322],"1)":[323],"allows":[326],"us":[327],"improve":[329],"accuracy":[332],"presence":[335],"defects;":[338],"2)":[339],"there":[340],"no":[342],"need":[343],"obtain":[345],"high-quality":[347],"scan":[348],"entire":[351],"workpiece,":[352],"potentially":[353],"reducing":[354],"difficulty":[356],"improving":[358],"efficiency;":[360],"3)":[362],"requirement":[364],"uniform":[366],"sampling":[367],"reduced.":[372]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
