{"id":"https://openalex.org/W2908402568","doi":"https://doi.org/10.1109/tcsvt.2019.2890880","title":"Multi-Matrices Low-Rank Decomposition With Structural Smoothness for Image Denoising","display_name":"Multi-Matrices Low-Rank Decomposition With Structural Smoothness for Image Denoising","publication_year":2019,"publication_date":"2019-01-04","ids":{"openalex":"https://openalex.org/W2908402568","doi":"https://doi.org/10.1109/tcsvt.2019.2890880","mag":"2908402568"},"language":"en","primary_location":{"id":"doi:10.1109/tcsvt.2019.2890880","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2019.2890880","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","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/A5050599074","display_name":"Hengyou Wang","orcid":"https://orcid.org/0000-0001-6693-0161"},"institutions":[{"id":"https://openalex.org/I62853816","display_name":"Beijing University of Civil Engineering and Architecture","ror":"https://ror.org/02yj0p855","country_code":"CN","type":"education","lineage":["https://openalex.org/I62853816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengyou Wang","raw_affiliation_strings":["School of Science, Beijing University of Civil Engineering and Architecture, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-6693-0161","affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Civil Engineering and Architecture, Beijing, China","institution_ids":["https://openalex.org/I62853816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115602293","display_name":"Yang Li","orcid":"https://orcid.org/0000-0003-4616-4230"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yang Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Missouri, Columbia, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Missouri, Columbia, USA","institution_ids":["https://openalex.org/I76835614"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082462498","display_name":"Yigang Cen","orcid":"https://orcid.org/0000-0001-6255-9422"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yigang Cen","raw_affiliation_strings":["Institute of Information Science, Beijing Jiaotong University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Science, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110252153","display_name":"Zhihai He","orcid":"https://orcid.org/0000-0003-2255-4293"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhihai He","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Missouri, Columbia, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Missouri, Columbia, USA","institution_ids":["https://openalex.org/I76835614"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2422,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.8700117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"2","first_page":"349","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/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":0.9991000294685364,"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/noise-reduction","display_name":"Noise reduction","score":0.765285849571228},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.6346510052680969},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6024972200393677},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.536898136138916},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5166469216346741},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5160862803459167},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.4469885230064392},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4466429650783539},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4451064467430115},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.4100736975669861},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38450491428375244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34299221634864807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3144400119781494}],"concepts":[{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.765285849571228},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.6346510052680969},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6024972200393677},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.536898136138916},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5166469216346741},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5160862803459167},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.4469885230064392},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4466429650783539},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4451064467430115},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.4100736975669861},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38450491428375244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34299221634864807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3144400119781494},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsvt.2019.2890880","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2019.2890880","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1454582126","display_name":null,"funder_award_id":"201708110139","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G2180810606","display_name":null,"funder_award_id":"SQKM201610016009","funder_id":"https://openalex.org/F4320321572","funder_display_name":"Beijing Municipal Commission of Education"},{"id":"https://openalex.org/G5294631449","display_name":null,"funder_award_id":"61572067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6007982630","display_name":null,"funder_award_id":"[2019]1064","funder_id":"https://openalex.org/F4320323236","funder_display_name":"Natural Science Foundation of Guizhou Province"},{"id":"https://openalex.org/G7615460283","display_name":"\u9762\u5411\u76d1\u63a7\u89c6\u9891\u7684\u7ed3\u6784\u5316\u6df1\u5ea6\u7279\u5f81\u878d\u5408\u76ee\u6807\u91cd\u8bc6\u522b\u7814\u7a76","funder_award_id":"61872034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G868243128","display_name":null,"funder_award_id":"61502024","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/F4320321572","display_name":"Beijing Municipal Commission of Education","ror":"https://ror.org/04bpn6s66"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320323236","display_name":"Natural Science Foundation of Guizhou Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325174","display_name":"Beijing University of Civil Engineering and Architecture","ror":"https://ror.org/02yj0p855"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W119188870","https://openalex.org/W1476376401","https://openalex.org/W1539726260","https://openalex.org/W1548998364","https://openalex.org/W1925417509","https://openalex.org/W1944540851","https://openalex.org/W1974042113","https://openalex.org/W1992633833","https://openalex.org/W1994040806","https://openalex.org/W1997201895","https://openalex.org/W2000157792","https://openalex.org/W2011181254","https://openalex.org/W2016378714","https://openalex.org/W2022238106","https://openalex.org/W2032024719","https://openalex.org/W2050630265","https://openalex.org/W2052478776","https://openalex.org/W2053300860","https://openalex.org/W2054010646","https://openalex.org/W2057069782","https://openalex.org/W2084603169","https://openalex.org/W2087018183","https://openalex.org/W2125298866","https://openalex.org/W2128148283","https://openalex.org/W2137414835","https://openalex.org/W2142224912","https://openalex.org/W2143688709","https://openalex.org/W2144730813","https://openalex.org/W2145962650","https://openalex.org/W2147560873","https://openalex.org/W2158121106","https://openalex.org/W2168793364","https://openalex.org/W2168903001","https://openalex.org/W2187351272","https://openalex.org/W2235433777","https://openalex.org/W2297991835","https://openalex.org/W2308736390","https://openalex.org/W2339830253","https://openalex.org/W2435970246","https://openalex.org/W2561455088","https://openalex.org/W2565789546","https://openalex.org/W2611015177","https://openalex.org/W2773266593","https://openalex.org/W2775829438","https://openalex.org/W2884944060","https://openalex.org/W4241492945"],"related_works":["https://openalex.org/W4221157149","https://openalex.org/W4283122425","https://openalex.org/W2057590040","https://openalex.org/W3135513863","https://openalex.org/W1991825408","https://openalex.org/W2408897693","https://openalex.org/W2969889343","https://openalex.org/W4306936641","https://openalex.org/W1621084367","https://openalex.org/W1507830821"],"abstract_inverted_index":{"In":[0,13],"this":[1,14],"paper,":[2],"we":[3,89],"propose":[4],"a":[5],"multi-matrices":[6,45],"lowrank":[7,25],"decomposition":[8,47],"method":[9,121],"for":[10,44,130],"image":[11],"denoising.":[12],"new":[15],"method,":[16,88],"the":[17,37,49,65,72,84,95,119,123],"total":[18],"variation":[19],"(TV)":[20],"norm":[21],"is":[22],"incorporated":[23],"into":[24],"approximation":[26],"analysis":[27],"to":[28,33,63,93],"achieve":[29],"structural":[30,73],"smoothness":[31],"and":[32,54,75,77,104,110],"improve":[34],"quality":[35],"of":[36,68],"recovered":[38],"images.":[39],"Our":[40,114],"proposed":[41,96,120],"mathematical":[42],"framework":[43],"low-rank":[46,66,125],"combines":[48],"nuclear":[50],"norm,":[51,53,59],"TV":[52],"L":[55],"<sub":[56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[58],"which":[60],"allows":[61],"us":[62],"exploit":[64],"property":[67],"natural":[69],"images,":[70],"enhance":[71],"smoothness,":[74],"detect":[76],"remove":[78],"large":[79,133],"sparse":[80,134],"noise.":[81,135],"Based":[82],"on":[83,107],"iterative":[85],"alternating":[86],"direction":[87],"develop":[90],"an":[91],"algorithm":[92],"solve":[94],"challenging":[97],"optimization":[98],"problem.":[99],"We":[100],"conduct":[101],"extensive":[102],"experiments":[103],"perform":[105],"evaluations":[106],"multi-images":[108],"denoising":[109],"multi-frames":[111],"video":[112],"prediction.":[113],"experimental":[115],"results":[116],"demonstrate":[117],"that":[118],"outperforms":[122],"state-of-the-art":[124],"matrix":[126],"recovery":[127],"methods,":[128],"particularly":[129],"images":[131],"with":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}