{"id":"https://openalex.org/W2768171000","doi":"https://doi.org/10.1137/17m1113138","title":"Lattice-Based Patterned Fabric Inspection by Using Total Variation with Sparsity and Low-Rank Representations","display_name":"Lattice-Based Patterned Fabric Inspection by Using Total Variation with Sparsity and Low-Rank Representations","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2768171000","doi":"https://doi.org/10.1137/17m1113138","mag":"2768171000"},"language":"en","primary_location":{"id":"doi:10.1137/17m1113138","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1113138","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5010561682","display_name":"Michael K. Ng","orcid":"https://orcid.org/0000-0001-6833-5227"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael K. Ng","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021455647","display_name":"Henry Y. T. Ngan","orcid":"https://orcid.org/0000-0003-0382-952X"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Henry Y. T. Ngan","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060269704","display_name":"Xiaoming Yuan","orcid":"https://orcid.org/0000-0002-6900-6983"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xiaoming Yuan","raw_affiliation_strings":["Department of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics","institution_ids":["https://openalex.org/I530967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033050689","display_name":"Wenxing Zhang","orcid":"https://orcid.org/0000-0003-2250-4309"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenxing Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1874,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"4","first_page":"2140","last_page":"2164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.9968000054359436,"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":0.9950000047683716,"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/rank","display_name":"Rank (graph theory)","score":0.5658496022224426},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5515430569648743},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5511665344238281},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5469387769699097},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5263845920562744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5243849158287048},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3922281861305237},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31899791955947876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3002472519874573},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24329817295074463},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.14908424019813538},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12857961654663086},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10784080624580383}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5658496022224426},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5515430569648743},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5511665344238281},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5469387769699097},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5263845920562744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5243849158287048},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3922281861305237},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31899791955947876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3002472519874573},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24329817295074463},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.14908424019813538},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12857961654663086},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10784080624580383},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/17m1113138","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1113138","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6100000143051147,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1451036556","display_name":null,"funder_award_id":"11571074","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/F4320334813","display_name":"Key Laboratory of Remote Measuring and Control, Jiangsu Province","ror":"https://ror.org/04ct4d772"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1480714962","https://openalex.org/W1553366678","https://openalex.org/W1835936502","https://openalex.org/W1963865224","https://openalex.org/W1965696824","https://openalex.org/W1985563622","https://openalex.org/W1986080131","https://openalex.org/W1987033330","https://openalex.org/W1991937133","https://openalex.org/W1992841740","https://openalex.org/W1995589954","https://openalex.org/W2007822845","https://openalex.org/W2019654077","https://openalex.org/W2024661139","https://openalex.org/W2034851609","https://openalex.org/W2034856412","https://openalex.org/W2045079045","https://openalex.org/W2059611717","https://openalex.org/W2067689904","https://openalex.org/W2073172073","https://openalex.org/W2082233783","https://openalex.org/W2082723523","https://openalex.org/W2083042020","https://openalex.org/W2105672294","https://openalex.org/W2105693192","https://openalex.org/W2111841405","https://openalex.org/W2116090201","https://openalex.org/W2122712590","https://openalex.org/W2123031198","https://openalex.org/W2129638195","https://openalex.org/W2132754100","https://openalex.org/W2132979247","https://openalex.org/W2133665775","https://openalex.org/W2135046866","https://openalex.org/W2136367321","https://openalex.org/W2158698691","https://openalex.org/W2169245804","https://openalex.org/W2206250267","https://openalex.org/W2244987555","https://openalex.org/W2274280696","https://openalex.org/W2492385836","https://openalex.org/W2502737401","https://openalex.org/W2963613741","https://openalex.org/W3106359998"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W1966025497","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W8322802","https://openalex.org/W314331466","https://openalex.org/W2049545441","https://openalex.org/W2152992791","https://openalex.org/W3120490799"],"abstract_inverted_index":{"In":[0],"this":[1,52],"paper,":[2],"we":[3],"study":[4],"an":[5],"image":[6,71,83],"decomposition":[7,84],"model":[8,89,129,152],"for":[9,97,142],"patterned":[10,33,69,98,146],"fabric":[11,18,23,34,41,70,99],"inspection.":[12,100],"It":[13],"is":[14,30,54,105],"important":[15],"to":[16,55,66,107,121],"represent":[17],"patterns":[19],"effectively":[20,79],"so":[21,72],"that":[22,31,73,149],"defects":[24,42,155],"can":[25,77,130,153],"be":[26,78,131],"separated.":[27],"One":[28],"concern":[29],"both":[32],"(e.g.,":[35],"star-":[36],"or":[37],"box-patterned":[38],"fabrics)":[39],"and":[40,94,112,115],"contain":[43],"mainly":[44],"low":[45],"frequency":[46],"components.":[47],"The":[48,101,127],"main":[49],"idea":[50],"of":[51,59,145],"paper":[53],"use":[56],"the":[57,82,109,113,116,123,150,166],"convolution":[58],"a":[60,63,68,88,135,157],"lattice":[61],"with":[62,90,161],"Dirac":[64,124],"comb":[65,125],"characterize":[67],"its":[74],"repetitive":[75],"components":[76],"represented":[80],"in":[81,165],"model.":[85],"We":[86],"formulate":[87],"total":[91,102],"variation,":[92],"sparsity,":[93],"low-rank":[95,117],"terms":[96,118],"variation":[103],"term":[104],"used":[106],"regularize":[108],"defective":[110],"image,":[111],"sparsity":[114],"are":[119],"employed":[120],"control":[122],"function.":[126],"proposed":[128,151],"solved":[132],"efficiently":[133],"via":[134],"convex":[136],"programming":[137],"solver.":[138],"Our":[139],"experimental":[140],"results":[141],"different":[143],"types":[144],"fabrics":[147],"show":[148],"inspect":[154],"at":[156],"higher":[158],"accuracy":[159],"compared":[160],"some":[162],"classical":[163],"methods":[164],"literature.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}