{"id":"https://openalex.org/W2098616382","doi":"https://doi.org/10.1109/icassp.2013.6637873","title":"An epigraphical convex optimization approach for multicomponent image restoration using non-local structure tensor","display_name":"An epigraphical convex optimization approach for multicomponent image restoration using non-local structure tensor","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W2098616382","doi":"https://doi.org/10.1109/icassp.2013.6637873","mag":"2098616382"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2013.6637873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6637873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5057226360","display_name":"Giovanni Chierchia","orcid":"https://orcid.org/0000-0001-5899-689X"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Giovanni Chierchia","raw_affiliation_strings":["Institut T\u00e9l\u00e9com, LTCI, UMR CNRS 5141, T\u00e9l\u00e9com ParisTech, Paris, France","[LTCI, Telecom Paristech, Paris, France]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut T\u00e9l\u00e9com, LTCI, UMR CNRS 5141, T\u00e9l\u00e9com ParisTech, Paris, France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590","https://openalex.org/I4210165912"]},{"raw_affiliation_string":"[LTCI, Telecom Paristech, Paris, France]","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I4210165912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074166239","display_name":"Nelly Pustelnik","orcid":"https://orcid.org/0000-0001-7310-1927"},"institutions":[{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nelly Pustelnik","raw_affiliation_strings":["Laboratoire de Physique-ENSL, UMR 5672, Centre National de la Recherche Scientifique, Lyon, France","Lab. de Phys., ENSL, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique-ENSL, UMR 5672, Centre National de la Recherche Scientifique, Lyon, France","institution_ids":["https://openalex.org/I4210096929"]},{"raw_affiliation_string":"Lab. de Phys., ENSL, Lyon, France","institution_ids":["https://openalex.org/I4210096929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["LIGM, UMR CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","LIGM, Univ. Paris Est, Marne-la-Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM, UMR CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]},{"raw_affiliation_string":"LIGM, Univ. Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102225468","display_name":"B\u00e9atrice Pesquet-Popescu","orcid":null},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Beatrice Pesquet-Popescu","raw_affiliation_strings":["Institut T\u00e9l\u00e9com, LTCI, UMR CNRS 5141, T\u00e9l\u00e9com ParisTech, Paris, France","[LTCI, Telecom Paristech, Paris, France]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut T\u00e9l\u00e9com, LTCI, UMR CNRS 5141, T\u00e9l\u00e9com ParisTech, Paris, France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590","https://openalex.org/I4210165912"]},{"raw_affiliation_string":"[LTCI, Telecom Paristech, Paris, France]","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I4210165912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"5567","issue":null,"first_page":"1359","last_page":"1363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9994000196456909,"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/tensor","display_name":"Tensor (intrinsic definition)","score":0.6830370426177979},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6438549757003784},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.6379048824310303},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5790354609489441},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.557891845703125},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5297141075134277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5196869969367981},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5154150724411011},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4995591640472412},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4279564917087555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.425639271736145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30202528834342957},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14414873719215393},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06527858972549438}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6830370426177979},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6438549757003784},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.6379048824310303},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5790354609489441},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.557891845703125},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5297141075134277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5196869969367981},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5154150724411011},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4995591640472412},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4279564917087555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.425639271736145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30202528834342957},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14414873719215393},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06527858972549438},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2013.6637873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6637873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1497246097","https://openalex.org/W1578985305","https://openalex.org/W1581648587","https://openalex.org/W1966786995","https://openalex.org/W1976972318","https://openalex.org/W2007437458","https://openalex.org/W2010954012","https://openalex.org/W2014823423","https://openalex.org/W2019248995","https://openalex.org/W2021535288","https://openalex.org/W2027401313","https://openalex.org/W2051221053","https://openalex.org/W2051933044","https://openalex.org/W2060945009","https://openalex.org/W2064415987","https://openalex.org/W2083042020","https://openalex.org/W2101447418","https://openalex.org/W2103559027","https://openalex.org/W2104404402","https://openalex.org/W2108444653","https://openalex.org/W2115755118","https://openalex.org/W2122752532","https://openalex.org/W2136396015","https://openalex.org/W2144341056","https://openalex.org/W2147469781","https://openalex.org/W2320596590","https://openalex.org/W2594827121","https://openalex.org/W2963668075"],"related_works":["https://openalex.org/W4236696095","https://openalex.org/W3143779693","https://openalex.org/W2626808643","https://openalex.org/W2004064826","https://openalex.org/W3103727510","https://openalex.org/W97045569","https://openalex.org/W1527069879","https://openalex.org/W2946179579","https://openalex.org/W245862691","https://openalex.org/W3153752017"],"abstract_inverted_index":{"TV-like":[0],"constraints/regularizations":[1],"are":[2,23,62],"useful":[3],"tools":[4],"in":[5,114],"variational":[6],"methods":[7],"for":[8,40,89],"multicomponent":[9],"image":[10],"restoration.":[11],"In":[12],"this":[13],"paper,":[14],"we":[15],"design":[16],"more":[17],"sophisticated":[18],"non-local":[19,37],"TV":[20,101],"constraints":[21],"which":[22],"derived":[24],"from":[25],"the":[26,36,41,78,93,105],"structure":[27],"tensor.":[28],"The":[29,56],"proposed":[30,106],"approach":[31],"allows":[32],"us":[33],"to":[34,77,111],"measure":[35],"variations,":[38],"jointly":[39],"different":[42],"components,":[43],"through":[44,64],"various":[45],"\u2113":[46],"<sub":[47],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1,p</sub>":[49],"matrix":[50],"norms":[51],"with":[52],"p":[53],"\u2265":[54],"1.":[55],"related":[57],"convex":[58],"constrained":[59],"optimization":[60],"problems":[61],"solved":[63],"a":[65,97],"novel":[66],"epigraphical":[67,107],"projection":[68,108],"method.":[69],"This":[70],"formulation":[71],"can":[72],"be":[73],"efficiently":[74],"implemented":[75],"thanks":[76],"flexibility":[79],"offered":[80],"by":[81],"recent":[82],"primal-dual":[83],"proximal":[84],"algorithms.":[85],"Experiments":[86],"carried":[87],"out":[88],"color":[90],"images":[91],"demonstrate":[92],"interest":[94],"of":[95,116],"considering":[96],"Non-Local":[98],"Structure":[99],"Tensor":[100],"and":[102],"show":[103],"that":[104],"method":[109],"leads":[110],"significant":[112],"improvements":[113],"terms":[115],"convergence":[117],"speed":[118],"over":[119],"existing":[120],"numerical":[121],"solutions.":[122]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
