{"id":"https://openalex.org/W3136197246","doi":"https://doi.org/10.1109/tim.2021.3066535","title":"A Fast Self-Correction Method for Nonlinear Sinusoidal Fringe Images in 3-D Measurement","display_name":"A Fast Self-Correction Method for Nonlinear Sinusoidal Fringe Images in 3-D Measurement","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3136197246","doi":"https://doi.org/10.1109/tim.2021.3066535","mag":"3136197246"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2021.3066535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3066535","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/A5079958240","display_name":"Zhuojun Zheng","orcid":"https://orcid.org/0000-0002-0514-5984"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuojun Zheng","raw_affiliation_strings":["State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0514-5984","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028795816","display_name":"Jian Gao","orcid":"https://orcid.org/0000-0001-5625-7751"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Gao","raw_affiliation_strings":["State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5625-7751","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101648281","display_name":"Jianhua Mo","orcid":"https://orcid.org/0000-0002-0351-8097"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianhua Mo","raw_affiliation_strings":["State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0351-8097","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002767188","display_name":"Lanyu Zhang","orcid":"https://orcid.org/0000-0002-6439-2619"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lanyu Zhang","raw_affiliation_strings":["State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6439-2619","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084975638","display_name":"Qiaofen Zhang","orcid":"https://orcid.org/0000-0002-7168-3545"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiaofen Zhang","raw_affiliation_strings":["State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-7168-3545","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Precision Electronic Manufacturing Equipment and Technology, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139024713"],"apc_list":null,"apc_paid":null,"fwci":2.2612,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89871989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":1.0,"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":0.9962000250816345,"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"}},{"id":"https://openalex.org/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.9940000176429749,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7342544794082642},{"id":"https://openalex.org/keywords/projector","display_name":"Projector","score":0.6095559000968933},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.586391031742096},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5435171127319336},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.519790530204773},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.494657963514328},{"id":"https://openalex.org/keywords/structured-light-3d-scanner","display_name":"Structured-light 3D scanner","score":0.4901343286037445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45319923758506775},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3833894431591034},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3593413233757019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35925304889678955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3160298764705658},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16267380118370056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12108981609344482}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7342544794082642},{"id":"https://openalex.org/C2776865275","wikidata":"https://www.wikidata.org/wiki/Q311666","display_name":"Projector","level":2,"score":0.6095559000968933},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.586391031742096},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5435171127319336},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.519790530204773},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.494657963514328},{"id":"https://openalex.org/C184577583","wikidata":"https://www.wikidata.org/wiki/Q1485537","display_name":"Structured-light 3D scanner","level":3,"score":0.4901343286037445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45319923758506775},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3833894431591034},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3593413233757019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35925304889678955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3160298764705658},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16267380118370056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12108981609344482},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2779751349","wikidata":"https://www.wikidata.org/wiki/Q1474480","display_name":"Scanner","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2021.3066535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3066535","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/G2304302389","display_name":null,"funder_award_id":"U20A6004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3618058232","display_name":null,"funder_award_id":"61705045","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3760313029","display_name":null,"funder_award_id":"52075106","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1963917708","https://openalex.org/W1968461053","https://openalex.org/W1969106758","https://openalex.org/W1993207414","https://openalex.org/W2005389892","https://openalex.org/W2010205539","https://openalex.org/W2030964324","https://openalex.org/W2031151076","https://openalex.org/W2048747197","https://openalex.org/W2049829579","https://openalex.org/W2087256761","https://openalex.org/W2098481371","https://openalex.org/W2112248265","https://openalex.org/W2146663772","https://openalex.org/W2149301819","https://openalex.org/W2165631751","https://openalex.org/W2298735964","https://openalex.org/W2441234261","https://openalex.org/W2695315630","https://openalex.org/W2747649429","https://openalex.org/W2801729002","https://openalex.org/W2804654620","https://openalex.org/W2808086381","https://openalex.org/W2901980204","https://openalex.org/W2914319540","https://openalex.org/W2945632165","https://openalex.org/W2964545534","https://openalex.org/W2965283655","https://openalex.org/W2965789492","https://openalex.org/W2997390204","https://openalex.org/W3004833156","https://openalex.org/W6648900021","https://openalex.org/W6766782895"],"related_works":["https://openalex.org/W2043684885","https://openalex.org/W3012121929","https://openalex.org/W1970213222","https://openalex.org/W2911038112","https://openalex.org/W2947923341","https://openalex.org/W2751204429","https://openalex.org/W2884903798","https://openalex.org/W2512159635","https://openalex.org/W2624775032","https://openalex.org/W2036531457"],"abstract_inverted_index":{"Phase-shifting":[0],"profilometry":[1],"(PSP)":[2],"is":[3],"a":[4,13,16,54,95,232],"method":[5,194,219],"used":[6,118,156],"to":[7,23,58,157,175,200],"establish":[8,94],"the":[9,24,29,38,44,60,65,82,88,100,111,120,126,129,140,144,148,159,170,182,202,207,210,217,222],"pixel":[10,138],"correspondence":[11],"between":[12],"projector":[14],"and":[15,41,105,143,155,186,230],"camera":[17],"using":[18],"phase-shifting":[19],"fringe":[20,84,103,113,178,198],"patterns.":[21],"Due":[22],"nonlinear":[25,32,61,89,107,130,161,171,223],"intensity":[26,79],"response":[27,90,131,150],"of":[28,46,81,97,147,184,209],"captured":[30,83,112,141],"images,":[31,142],"errors":[33],"will":[34],"be":[35,134,153],"induced":[36],"into":[37],"calculated":[39],"phase":[40,62,172,211,224,227],"thus":[42,152],"decrease":[43],"accuracy":[45,204],"3-D":[47,238],"measurement.":[48],"In":[49,72],"this":[50,73,193],"article,":[51],"we":[52,75],"propose":[53],"fast":[55,237],"self-correction":[56],"algorithm":[57,167],"reduce":[59,169],"error":[63,173],"without":[64,180],"need":[66],"for":[67,136,236],"additional":[68],"projections":[69,185],"or":[70],"precalibration.":[71],"study,":[74],"derived":[76],"an":[77],"average":[78],"expression":[80],"images":[85,114,179],"that":[86,216],"contain":[87],"parameters.":[91],"We":[92],"can":[93,133,151,168,195,220],"set":[96],"equations":[98],"with":[99,187],"known":[101],"projection":[102],"information":[104],"unknown":[106],"parameters":[108,132],"based":[109],"on":[110,125],"at":[115],"different":[116,176],"frequencies":[117],"in":[119,139],"multifrequency":[121],"heterodyne":[122],"algorithm.":[123],"Based":[124],"equation":[127],"set,":[128],"solved":[135],"each":[137],"inverse":[145],"function":[146],"system":[149],"obtained":[154],"correct":[158],"actual":[160],"gray":[162],"value.":[163],"This":[164],"pointwise":[165],"correction":[166],"corresponding":[174],"frequency":[177],"increasing":[181],"number":[183],"no":[188],"excessive":[189],"calculation":[190],"time.":[191],"Furthermore,":[192],"use":[196],"small-pitch":[197],"patterns":[199],"improve":[201,226],"measurement":[203,234,239],"while":[205],"maintaining":[206],"reliability":[208],"unwrapping.":[212],"Experimental":[213],"results":[214],"show":[215],"proposed":[218],"eliminate":[221],"error,":[225],"unwrapping":[228],"robustness,":[229],"achieve":[231],"high":[233],"quality":[235],"through":[240],"PSP.":[241]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
