{"id":"https://openalex.org/W2082081772","doi":"https://doi.org/10.1109/tii.2015.2390481","title":"Shape Fitting for the Shape Control System of Silicon Single Crystal Growth","display_name":"Shape Fitting for the Shape Control System of Silicon Single Crystal Growth","publication_year":2015,"publication_date":"2015-01-14","ids":{"openalex":"https://openalex.org/W2082081772","doi":"https://doi.org/10.1109/tii.2015.2390481","mag":"2082081772"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2015.2390481","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2015.2390481","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","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/A5077561795","display_name":"Junli Liang","orcid":"https://orcid.org/0009-0001-6112-7908"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junli Liang","raw_affiliation_strings":["School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063479373","display_name":"Miaohua Zhang","orcid":"https://orcid.org/0000-0002-5281-7851"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Miaohua Zhang","raw_affiliation_strings":["School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101522028","display_name":"Ding Liu","orcid":"https://orcid.org/0000-0002-2070-9661"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ding Liu","raw_affiliation_strings":["School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China"],"affiliations":[{"raw_affiliation_string":"School of Automation and Information Engineering, Xi\u2019an University of Technology, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100354897","display_name":"Wenyi Wang","orcid":"https://orcid.org/0000-0003-3129-8260"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenyi Wang","raw_affiliation_strings":["Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin, China","Tianjin Key Lab for Advanced Signal Processing Civil Aviation University of China  Tianjin China"],"affiliations":[{"raw_affiliation_string":"Tianjin Key Lab for Advanced Signal Processing, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]},{"raw_affiliation_string":"Tianjin Key Lab for Advanced Signal Processing Civil Aviation University of China  Tianjin China","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077561795"],"corresponding_institution_ids":["https://openalex.org/I4210131919"],"apc_list":null,"apc_paid":null,"fwci":1.6586,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87047376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"2","first_page":"363","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9995999932289124,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9977999925613403,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.8528006076812744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4757499396800995},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4754461944103241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4623033106327057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44700363278388977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38027361035346985},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.35679876804351807},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34802818298339844}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.8528006076812744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4757499396800995},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4754461944103241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4623033106327057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44700363278388977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38027361035346985},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.35679876804351807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34802818298339844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tii.2015.2390481","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2015.2390481","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"},{"id":"pmh:oai:research-repository.griffith.edu.au:10072/398463","is_oa":false,"landing_page_url":"http://hdl.handle.net/10072/398463","pdf_url":null,"source":{"id":"https://openalex.org/S4306402548","display_name":"Griffith Research Online (Griffith University, Queensland, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11701301","host_organization_name":"Griffith University","host_organization_lineage":["https://openalex.org/I11701301"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7438042499","display_name":null,"funder_award_id":"61471295","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7581384056","display_name":null,"funder_award_id":"61172123","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":32,"referenced_works":["https://openalex.org/W18603281","https://openalex.org/W1596717185","https://openalex.org/W1621083205","https://openalex.org/W1890834058","https://openalex.org/W1967073510","https://openalex.org/W1980217573","https://openalex.org/W2017535609","https://openalex.org/W2045397770","https://openalex.org/W2054585288","https://openalex.org/W2055357575","https://openalex.org/W2063256548","https://openalex.org/W2063972424","https://openalex.org/W2075765496","https://openalex.org/W2095905764","https://openalex.org/W2100115174","https://openalex.org/W2101296387","https://openalex.org/W2101750273","https://openalex.org/W2105235982","https://openalex.org/W2115485558","https://openalex.org/W2119667497","https://openalex.org/W2125022378","https://openalex.org/W2140427427","https://openalex.org/W2149523072","https://openalex.org/W2151388232","https://openalex.org/W2153178980","https://openalex.org/W2155504045","https://openalex.org/W2158640143","https://openalex.org/W2159061344","https://openalex.org/W2296399167","https://openalex.org/W2296616510","https://openalex.org/W4250955649","https://openalex.org/W6600731895"],"related_works":["https://openalex.org/W2072834229","https://openalex.org/W2791121587","https://openalex.org/W2532331858","https://openalex.org/W3208033376","https://openalex.org/W2143578941","https://openalex.org/W1967498198","https://openalex.org/W2146369460","https://openalex.org/W2018638282","https://openalex.org/W2354422866","https://openalex.org/W2019600639"],"abstract_inverted_index":{"Shape":[0],"fitting,":[1,7],"including":[2],"straight":[3,25,75,111,174,243],"line":[4,76],"and":[5,27,39,60,77,104,128,138,181,189,228,271],"ellipse":[6,28,78,252,257],"plays":[8],"an":[9],"important":[10,35],"role":[11],"in":[12,29],"the":[13,24,30,34,52,89,106,114,124,132,154,160,170,178,191,198,206,211,215,219,225,231,238,256,261,265,278,281],"(cylinder-)":[14],"shape":[15],"control":[16,48],"system":[17],"of":[18,99,110,118,172,201,210,241,251,280],"silicon":[19],"single":[20],"crystal":[21,31,54],"growth,":[22],"because":[23],"lines":[26,112],"image":[32,93,192],"contain":[33],"horizontal":[36],"circle":[37],"center":[38],"diameter":[40],"information.":[41],"This":[42],"information":[43],"can":[44,62,193],"be":[45,63,194],"used":[46,64],"as":[47,65,85,197,214],"variables":[49],"so":[50],"that":[51],"grown":[53],"approximates":[55],"to":[56,168,223,236,254,259,276],"a":[57,95,100,140,149,247],"perfect":[58],"cylinder,":[59],"thus":[61,139,190],"high-quality":[66],"source":[67],"materials.":[68],"In":[69],"this":[70],"paper,":[71],"we":[72,152,217],"develop":[73],"new":[74,248],"fitting":[79],"algorithms.":[80,283],"The":[81],"key":[82],"points":[83],"are":[84,274],"follows.":[86],"We":[87,245],"formulate":[88],"two-dimensional":[90],"(2-D)":[91],"binary":[92],"into":[94,113,159],"single-snapshot":[96],"array":[97,126],"signal":[98],"virtual":[101,119,125],"sensor":[102],"array,":[103],"casts":[105],"angle":[107],"estimation":[108],"problem":[109,143],"direction":[115],"finding":[116],"one":[117],"incoming":[120,130],"sources.":[121],"Based":[122,176],"on":[123,177],"manifold":[127],"potential":[129,182],"angles,":[131],"relevant":[133,226,239],"over-complete":[134,185],"dictionary":[135,186,203,208],"is":[136,144,187,209],"constructed,":[137,188],"sparse":[141,199,233],"regression":[142,150,166,234],"formed.":[145],"To":[146],"solve":[147],"such":[148],"problem,":[151],"introduce":[153],"weight":[155],"vector":[156,165],"sparsity":[157],"term":[158],"conventional":[161,266],"linear":[162],"least-squares":[163],"support":[164],"framework":[167],"estimate":[169],"angles":[171,180],"these":[173,202,242],"lines.":[175,244],"estimated":[179],"offsets,":[183],"another":[184],"looked":[195],"upon":[196],"representation":[200],"atoms.":[204],"Since":[205],"constructed":[207],"same":[212],"size":[213],"image,":[216],"use":[218],"compressed":[220],"sensing":[221],"theory":[222],"reduce":[224],"dimensionality":[227],"then":[229],"apply":[230],"aforementioned":[232],"method":[235],"obtain":[237,255],"offsets":[240],"derive":[246],"second-order":[249],"polynomial":[250,267],"equation":[253],"parameters":[258],"avoid":[260],"trival":[262],"solution":[263],"from":[264],"model.":[268],"Some":[269],"simulation":[270],"experimental":[272],"examples":[273],"given":[275],"illustrate":[277],"effectiveness":[279],"proposed":[282]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"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":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
