{"id":"https://openalex.org/W2158054868","doi":"https://doi.org/10.1109/tip.2015.2400213","title":"Double Nuclear Norm-Based Matrix Decomposition for Occluded Image Recovery and Background Modeling","display_name":"Double Nuclear Norm-Based Matrix Decomposition for Occluded Image Recovery and Background Modeling","publication_year":2015,"publication_date":"2015-02-04","ids":{"openalex":"https://openalex.org/W2158054868","doi":"https://doi.org/10.1109/tip.2015.2400213","mag":"2158054868","pmid":"https://pubmed.ncbi.nlm.nih.gov/25667350"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2015.2400213","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2400213","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5089345835","display_name":"Fanlong Zhang","orcid":"https://orcid.org/0000-0001-8865-9683"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanlong Zhang","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100726984","display_name":"Jian Yang","orcid":"https://orcid.org/0000-0003-4800-832X"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Yang","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029021362","display_name":"Ying Tai","orcid":"https://orcid.org/0000-0002-4665-6852"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Tai","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035112538","display_name":"Jinhui Tang","orcid":"https://orcid.org/0000-0001-9008-222X"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhui Tang","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":6.6587,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.97432975,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"24","issue":"6","first_page":"1956","last_page":"1966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9958000183105469,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9930999875068665,"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/matrix-norm","display_name":"Matrix norm","score":0.7465903162956238},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6798393726348877},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.6790378093719482},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.523565948009491},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5131924748420715},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.49256521463394165},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.47217482328414917},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4585428535938263},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4533859193325043},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43586868047714233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42770177125930786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4238757789134979},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.40543678402900696},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34997910261154175},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16156011819839478},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14506545662879944},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11259311437606812}],"concepts":[{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.7465903162956238},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6798393726348877},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.6790378093719482},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.523565948009491},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5131924748420715},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.49256521463394165},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.47217482328414917},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4585428535938263},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4533859193325043},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43586868047714233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42770177125930786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4238757789134979},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.40543678402900696},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34997910261154175},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16156011819839478},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14506545662879944},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11259311437606812},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2015.2400213","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2400213","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:25667350","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25667350","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1073734375","display_name":null,"funder_award_id":"91420201","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G1708426532","display_name":null,"funder_award_id":"61472187","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G1936396850","display_name":null,"funder_award_id":"61233011","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G2848555322","display_name":null,"funder_award_id":"30920140121005","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8055397547","display_name":null,"funder_award_id":"61373063","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G8521262284","display_name":null,"funder_award_id":"61125305","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G8684234662","display_name":null,"funder_award_id":"2014CB349303","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320336125","display_name":"National Science Fund for Distinguished Young Scholars","ror":null},{"id":"https://openalex.org/F4320338204","display_name":"Program for Changjiang Scholars and Innovative Research Team in University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W79405465","https://openalex.org/W1480057435","https://openalex.org/W1513013675","https://openalex.org/W1534408902","https://openalex.org/W1736339626","https://openalex.org/W1992633833","https://openalex.org/W1997201895","https://openalex.org/W1997348485","https://openalex.org/W2015625307","https://openalex.org/W2021770241","https://openalex.org/W2053090063","https://openalex.org/W2101117936","https://openalex.org/W2102544846","https://openalex.org/W2103972604","https://openalex.org/W2113713615","https://openalex.org/W2117553576","https://openalex.org/W2125874614","https://openalex.org/W2131192390","https://openalex.org/W2131628350","https://openalex.org/W2139047213","https://openalex.org/W2140095548","https://openalex.org/W2145962650","https://openalex.org/W2146474141","https://openalex.org/W2150489380","https://openalex.org/W2611328865","https://openalex.org/W2994340921","https://openalex.org/W4214876654","https://openalex.org/W4292363360","https://openalex.org/W6603183647","https://openalex.org/W6675479683","https://openalex.org/W6679973066"],"related_works":["https://openalex.org/W2890107589","https://openalex.org/W4283792950","https://openalex.org/W2782904003","https://openalex.org/W2549425886","https://openalex.org/W3121932492","https://openalex.org/W4390143385","https://openalex.org/W2060132011","https://openalex.org/W2124460284","https://openalex.org/W2906988372","https://openalex.org/W2776058083"],"abstract_inverted_index":{"Robust":[0],"principal":[1],"component":[2],"analysis":[3],"(RPCA)":[4],"is":[5,31,86,100,108,132],"a":[6,36,58,78,87,129],"new":[7],"emerging":[8],"method":[9,37,56,113],"for":[10,45,103,146],"exact":[11],"recovery":[12],"of":[13,98,114,181],"corrupted":[14,51],"low-rank":[15,60,79,88,96],"matrices.":[16],"It":[17],"assumes":[18],"that":[19],"the":[20,28,48,64,95,122,148,179,182],"real":[21,65],"data":[22,50,67],"matrix":[23,30,42,89],"has":[24],"low":[25],"rank":[26],"and":[27,68,81,141,172],"error":[29,84],"sparse.":[32],"This":[33],"paper":[34],"presents":[35],"called":[38],"double":[39],"nuclear":[40,144],"norm-based":[41],"decomposition":[43],"(DNMD)":[44],"dealing":[46],"with":[47,93],"image":[49,66,75,85],"by":[52,110],"continuous":[53,69,149],"occlusion.":[54,70,105],"The":[55],"uses":[57],"unified":[59],"assumption":[61,97],"to":[62],"characterize":[63],"Specifically,":[71],"we":[72],"assume":[73],"all":[74],"vectors":[76],"form":[77],"matrix,":[80],"each":[82],"occlusion-induced":[83,150],"as":[90,128],"well.":[91],"Compared":[92],"RPCA,":[94],"DNMD":[99,107,137,140],"more":[101],"intuitive":[102],"describing":[104],"Moreover,":[106],"solved":[109],"alternating":[111],"direction":[112],"multipliers.":[115],"Our":[116],"algorithm":[117],"involves":[118],"only":[119],"one":[120],"operator:":[121],"singular":[123],"value":[124],"shrinkage":[125],"operator.":[126],"DNMD,":[127],"transductive":[130],"method,":[131],"further":[133],"extended":[134],"into":[135],"inductive":[136],"(IDNMD).":[138],"Both":[139],"IDNMD":[142],"use":[143,156],"norm":[145],"measuring":[147],"error,":[151],"while":[152],"many":[153],"previous":[154],"methods":[155],"L1":[157],",":[158,160],"L2":[159],"or":[161],"other":[162],"M-estimators.":[163],"Extensive":[164],"experiments":[165],"on":[166],"removing":[167],"occlusion":[168],"from":[169,175],"face":[170],"images":[171],"background":[173],"modeling":[174],"surveillance":[176],"videos":[177],"demonstrate":[178],"effectiveness":[180],"proposed":[183],"methods.":[184]},"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":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
