{"id":"https://openalex.org/W2995679912","doi":"https://doi.org/10.1109/tip.2019.2958309","title":"From Rank Estimation to Rank Approximation: Rank Residual Constraint for Image Restoration","display_name":"From Rank Estimation to Rank Approximation: Rank Residual Constraint for Image Restoration","publication_year":2019,"publication_date":"2019-12-12","ids":{"openalex":"https://openalex.org/W2995679912","doi":"https://doi.org/10.1109/tip.2019.2958309","mag":"2995679912","pmid":"https://pubmed.ncbi.nlm.nih.gov/31841410"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2019.2958309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2019.2958309","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/A5032774989","display_name":"Zhiyuan Zha","orcid":"https://orcid.org/0000-0002-5515-5339"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiyuan Zha","raw_affiliation_strings":["Artificial Intelligence Institute of Industrial Technology, Nanjing Institute of Technology, Nanjing, China","School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Institute of Industrial Technology, Nanjing Institute of Technology, Nanjing, China","institution_ids":["https://openalex.org/I2799736854"]},{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015431603","display_name":"Xin Yuan","orcid":"https://orcid.org/0000-0002-8311-7524"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Yuan","raw_affiliation_strings":["Nokia Bell Labs, Murray Hill, USA"],"affiliations":[{"raw_affiliation_string":"Nokia Bell Labs, Murray Hill, USA","institution_ids":["https://openalex.org/I72090969"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024709593","display_name":"Bihan Wen","orcid":"https://orcid.org/0000-0002-6874-6453"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Bihan Wen","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037979193","display_name":"Jiantao Zhou","orcid":"https://orcid.org/0000-0002-6015-2618"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]},{"id":"https://openalex.org/I6469544","display_name":"City University of Macau","ror":"https://ror.org/04gpd4q15","country_code":"MO","type":"education","lineage":["https://openalex.org/I6469544"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Jiantao Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China","State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China","institution_ids":["https://openalex.org/I6469544","https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102020945","display_name":"Jiachao Zhang","orcid":"https://orcid.org/0000-0002-3124-9461"},"institutions":[{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiachao Zhang","raw_affiliation_strings":["Artificial Intelligence Institute of Industrial Technology, Nanjing Institute of Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Artificial Intelligence Institute of Industrial Technology, Nanjing Institute of Technology, Nanjing, China","institution_ids":["https://openalex.org/I2799736854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034427070","display_name":"Ce Zhu","orcid":"https://orcid.org/0000-0001-7607-707X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ce Zhu","raw_affiliation_strings":["School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5032774989"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I2799736854"],"apc_list":null,"apc_paid":null,"fwci":6.131,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.97145431,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"29","issue":null,"first_page":"3254","last_page":"3269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9994999766349792,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.8154370784759521},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.717575192451477},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.700400710105896},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5989421010017395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5475930571556091},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4813876450061798},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4367717206478119},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.4134581983089447},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3619946837425232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3501470685005188},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3323294520378113},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3235118091106415},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1598699688911438}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.8154370784759521},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.717575192451477},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.700400710105896},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5989421010017395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5475930571556091},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4813876450061798},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4367717206478119},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4134581983089447},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3619946837425232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3501470685005188},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3323294520378113},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3235118091106415},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1598699688911438},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2019.2958309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2019.2958309","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:31841410","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31841410","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},{"id":"pmh:oai:dr.ntu.edu.sg:10356/154487","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/154487","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.49000000953674316,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G2430933232","display_name":null,"funder_award_id":"61571102","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W79405465","https://openalex.org/W195665135","https://openalex.org/W1438284018","https://openalex.org/W1482071412","https://openalex.org/W1607704809","https://openalex.org/W1863732927","https://openalex.org/W1915372217","https://openalex.org/W1964394948","https://openalex.org/W1969698720","https://openalex.org/W1970833585","https://openalex.org/W1974042113","https://openalex.org/W1978280057","https://openalex.org/W1978702630","https://openalex.org/W1978749115","https://openalex.org/W1984077106","https://openalex.org/W2011181254","https://openalex.org/W2014311222","https://openalex.org/W2040895929","https://openalex.org/W2045737896","https://openalex.org/W2048695508","https://openalex.org/W2056370875","https://openalex.org/W2056532343","https://openalex.org/W2067098972","https://openalex.org/W2075157914","https://openalex.org/W2076430826","https://openalex.org/W2084962682","https://openalex.org/W2097073572","https://openalex.org/W2103972604","https://openalex.org/W2105680870","https://openalex.org/W2108165393","https://openalex.org/W2109240917","https://openalex.org/W2110158442","https://openalex.org/W2111557737","https://openalex.org/W2115706991","https://openalex.org/W2116857329","https://openalex.org/W2124584309","https://openalex.org/W2125527601","https://openalex.org/W2131628350","https://openalex.org/W2133665775","https://openalex.org/W2135065661","https://openalex.org/W2136371415","https://openalex.org/W2136396015","https://openalex.org/W2137245235","https://openalex.org/W2140196014","https://openalex.org/W2142683286","https://openalex.org/W2145962650","https://openalex.org/W2146395539","https://openalex.org/W2159522388","https://openalex.org/W2160547390","https://openalex.org/W2161907179","https://openalex.org/W2164129760","https://openalex.org/W2165317121","https://openalex.org/W2165395308","https://openalex.org/W2168356304","https://openalex.org/W2172275395","https://openalex.org/W2187214659","https://openalex.org/W2194775991","https://openalex.org/W2203654268","https://openalex.org/W2205608177","https://openalex.org/W2207282238","https://openalex.org/W2288002998","https://openalex.org/W2295281957","https://openalex.org/W2342838199","https://openalex.org/W2423236762","https://openalex.org/W2505029951","https://openalex.org/W2508457857","https://openalex.org/W2508691887","https://openalex.org/W2527004316","https://openalex.org/W2536599074","https://openalex.org/W2571099869","https://openalex.org/W2571662414","https://openalex.org/W2611328865","https://openalex.org/W2768814045","https://openalex.org/W2889024474","https://openalex.org/W2963129783","https://openalex.org/W2963218026","https://openalex.org/W3098418424","https://openalex.org/W3099794995","https://openalex.org/W3100203369","https://openalex.org/W3105198140","https://openalex.org/W4230445183","https://openalex.org/W4252459207","https://openalex.org/W6603183647","https://openalex.org/W6607912541","https://openalex.org/W6628883312","https://openalex.org/W6639038035","https://openalex.org/W6679973066","https://openalex.org/W6680451568","https://openalex.org/W6684295950","https://openalex.org/W6684347323","https://openalex.org/W7073876970"],"related_works":["https://openalex.org/W2560215812","https://openalex.org/W2949601986","https://openalex.org/W2788972299","https://openalex.org/W2521347458","https://openalex.org/W2498789492","https://openalex.org/W2729981612","https://openalex.org/W4233449973","https://openalex.org/W2925692864","https://openalex.org/W2768526084","https://openalex.org/W151988857"],"abstract_inverted_index":{"In":[0,138],"this":[1,92,121,139],"paper,":[2],"we":[3,50,76,94,163],"propose":[4],"a":[5,97,131,166],"novel":[6],"approach":[7],"for":[8],"the":[9,26,33,41,47,54,60,65,72,101,107,113,117,124,135,142,145,158,170,173,181,191],"rank":[10,14,61,114],"minimization":[11,30,37],"problem,":[12],"termed":[13],"residual":[15,115],"constraint":[16],"(RRC).":[17],"Different":[18],"from":[19,46],"existing":[20],"low-rank":[21,43,56],"based":[22],"approaches,":[23],"such":[24],"as":[25],"well-known":[27],"nuclear":[28,35],"norm":[29,36],"(NNM)":[31],"and":[32,86,111,123,144,154,193],"weighted":[34],"(WNNM),":[38],"which":[39],"estimate":[40,133],"underlying":[42,55],"matrix":[44,57],"directly":[45],"corrupted":[48],"observation,":[49],"progressively":[51],"approximate":[52],"(approach)":[53],"via":[58],"minimizing":[59],"residual.":[62],"Through":[63],"integrating":[64],"image":[66,80,84,87,103,108,118,126,147],"nonlocal":[67],"self-similarity":[68],"(NSS)":[69],"prior":[70],"with":[71],"proposed":[73,174,182],"RRC":[74,175,183],"model,":[75,162],"apply":[77],"it":[78],"to":[79,129,134],"restoration":[81],"tasks,":[82],"including":[83],"denoising":[85],"compression":[88],"artifacts":[89],"reduction.":[90],"Toward":[91],"end,":[93],"first":[95],"obtain":[96],"good":[98],"reference":[99,122,143],"of":[100,116,172],"original":[102],"groups":[104,119],"by":[105],"using":[106],"NSS":[109],"prior,":[110],"then":[112],"between":[120],"degraded":[125],"is":[127],"minimized":[128],"achieve":[130],"better":[132],"desired":[136],"image.":[137],"manner,":[140],"both":[141,190],"estimated":[146],"in":[148,189],"each":[149],"iteration":[150],"are":[151],"improved":[152],"gradually":[153],"jointly.":[155],"Based":[156],"on":[157,169],"group-based":[159],"sparse":[160],"representation":[161],"further":[164],"provide":[165],"theoretical":[167],"analysis":[168],"feasibility":[171],"model.":[176],"Experimental":[177],"results":[178],"demonstrate":[179],"that":[180],"model":[184],"outperforms":[185],"many":[186],"state-of-the-art":[187],"schemes":[188],"objective":[192],"perceptual":[194],"qualities.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":27},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
