{"id":"https://openalex.org/W260788981","doi":"https://doi.org/10.1137/15m1014395","title":"A Convex Approach for Image Restoration with Exact Poisson--Gaussian Likelihood","display_name":"A Convex Approach for Image Restoration with Exact Poisson--Gaussian Likelihood","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W260788981","doi":"https://doi.org/10.1137/15m1014395","mag":"260788981"},"language":"en","primary_location":{"id":"doi:10.1137/15m1014395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014395","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00922151","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062777204","display_name":"\u00c9milie Chouzenoux","orcid":"https://orcid.org/0000-0003-3631-6093"},"institutions":[{"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":true,"raw_author_name":"Emilie Chouzenoux","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086251368","display_name":"Anna Jezierska","orcid":"https://orcid.org/0000-0001-8235-7641"},"institutions":[{"id":"https://openalex.org/I4210134584","display_name":"Polish Academy of Learning","ror":"https://ror.org/03q674f15","country_code":"PL","type":"government","lineage":["https://openalex.org/I4210134584"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Anna Jezierska","raw_affiliation_strings":["Polska Akademia Nauk (Polish Academy of Sciences)"],"affiliations":[{"raw_affiliation_string":"Polska Akademia Nauk (Polish Academy of Sciences)","institution_ids":["https://openalex.org/I4210134584","https://openalex.org/I99542240"]}]},{"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/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":["Laboratoire d'Informatique Gaspard-Monge"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002452272","display_name":"Hugues Talbot","orcid":"https://orcid.org/0000-0002-2179-3498"},"institutions":[{"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":"Hugues Talbot","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062777204"],"corresponding_institution_ids":["https://openalex.org/I4210152518"],"apc_list":null,"apc_paid":null,"fwci":8.9853,"has_fulltext":false,"cited_by_count":99,"citation_normalized_percentile":{"value":0.98290488,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"8","issue":"4","first_page":"2662","last_page":"2682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9972000122070312,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6152995824813843},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6068968772888184},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5992238521575928},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5645920038223267},{"id":"https://openalex.org/keywords/shot-noise","display_name":"Shot noise","score":0.555401086807251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49496597051620483},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.4902708828449249},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4853347837924957},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4745279848575592},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.4712427258491516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46449708938598633},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4289277493953705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314563035964966},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.324300616979599},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2732049822807312},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.20373958349227905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18945476412773132},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14505505561828613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1437651515007019}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6152995824813843},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6068968772888184},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5992238521575928},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5645920038223267},{"id":"https://openalex.org/C72659945","wikidata":"https://www.wikidata.org/wiki/Q1503574","display_name":"Shot noise","level":3,"score":0.555401086807251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49496597051620483},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.4902708828449249},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4853347837924957},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4745279848575592},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.4712427258491516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46449708938598633},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4289277493953705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314563035964966},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.324300616979599},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2732049822807312},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.20373958349227905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18945476412773132},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14505505561828613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1437651515007019},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1014395","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1014395","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"},{"id":"pmh:oai:HAL:hal-00922151v3","is_oa":true,"landing_page_url":"https://hal.science/hal-00922151","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2015, 8 (4), pp.2662-2682. &#x27E8;10.1137/15M1014395&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00922151v3","is_oa":true,"landing_page_url":"https://hal.science/hal-00922151","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2015, 8 (4), pp.2662-2682. &#x27E8;10.1137/15M1014395&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W111946688","https://openalex.org/W205960364","https://openalex.org/W1423203725","https://openalex.org/W1489912229","https://openalex.org/W1499187569","https://openalex.org/W1530913745","https://openalex.org/W1922442141","https://openalex.org/W1946620893","https://openalex.org/W1953936588","https://openalex.org/W1965735782","https://openalex.org/W1981112674","https://openalex.org/W1981851117","https://openalex.org/W1998339281","https://openalex.org/W1998991750","https://openalex.org/W2006262045","https://openalex.org/W2007437458","https://openalex.org/W2009204854","https://openalex.org/W2011194005","https://openalex.org/W2013388817","https://openalex.org/W2018612061","https://openalex.org/W2019569173","https://openalex.org/W2021548137","https://openalex.org/W2022377207","https://openalex.org/W2027051720","https://openalex.org/W2030254567","https://openalex.org/W2030322422","https://openalex.org/W2037252428","https://openalex.org/W2038497950","https://openalex.org/W2042778928","https://openalex.org/W2054856195","https://openalex.org/W2055467852","https://openalex.org/W2055834582","https://openalex.org/W2056578325","https://openalex.org/W2060331468","https://openalex.org/W2060945009","https://openalex.org/W2062271656","https://openalex.org/W2080744942","https://openalex.org/W2082473969","https://openalex.org/W2092663520","https://openalex.org/W2093545205","https://openalex.org/W2093607326","https://openalex.org/W2097073572","https://openalex.org/W2103559027","https://openalex.org/W2107844156","https://openalex.org/W2107941784","https://openalex.org/W2108855378","https://openalex.org/W2114423093","https://openalex.org/W2123031198","https://openalex.org/W2124682210","https://openalex.org/W2125852763","https://openalex.org/W2133665775","https://openalex.org/W2135780853","https://openalex.org/W2136035751","https://openalex.org/W2137534136","https://openalex.org/W2142280715","https://openalex.org/W2147068866","https://openalex.org/W2150388917","https://openalex.org/W2151514667","https://openalex.org/W2151841537","https://openalex.org/W2154707635","https://openalex.org/W2155574073","https://openalex.org/W2156600062","https://openalex.org/W2160924560","https://openalex.org/W2165437406","https://openalex.org/W2181619750","https://openalex.org/W2333280117","https://openalex.org/W2593098544","https://openalex.org/W2913535645","https://openalex.org/W2996456161","https://openalex.org/W3100489614","https://openalex.org/W3104072696","https://openalex.org/W3105465707","https://openalex.org/W3106359998","https://openalex.org/W4205213118","https://openalex.org/W4300642896"],"related_works":["https://openalex.org/W4243698225","https://openalex.org/W2075869708","https://openalex.org/W4287670495","https://openalex.org/W3084156746","https://openalex.org/W2793948820","https://openalex.org/W2118587210","https://openalex.org/W2499334499","https://openalex.org/W2994944367","https://openalex.org/W2147704231","https://openalex.org/W3164401114"],"abstract_inverted_index":{"The":[0,51,92,105,154],"Poisson--Gaussian":[1,25,49,78],"model":[2,63],"can":[3],"accurately":[4],"describe":[5],"the":[6,24,35,59,66,71,77,88,122,125,128,141,164,188],"noise":[7,26],"present":[8],"in":[9,184],"a":[10,30,41,47,82,98,172,185],"number":[11],"of":[12,23,37,53,57,76,101,107,124,127,151,177],"imaging":[13],"systems.":[14],"However":[15],"most":[16],"existing":[17],"restoration":[18,161,198],"methods":[19],"rely":[20],"on":[21,140,159],"approximations":[22,193],"statistics.":[27,68],"We":[28,130,181],"propose":[29,131],"convex":[31,102],"optimization":[32],"strategy":[33],"for":[34,86,134,174],"reconstruction":[36],"images":[38],"degraded":[39],"by":[40],"linear":[42],"operator":[43],"and":[44,74,145,191],"corrupted":[45],"with":[46],"mixed":[48,61],"noise.":[50],"originality":[52],"our":[54,108,152],"approach":[55,156],"consists":[56],"considering":[58],"exact,":[60],"continuous-discrete":[62],"corresponding":[64],"to":[65,97,112,117,148,195],"data":[67,166],"After":[69],"establishing":[70],"Lipschitz":[72],"differentiability":[73],"convexity":[75],"neg-log-likelihood,":[79],"we":[80],"derive":[81],"primal-dual":[83],"iterative":[84],"scheme":[85,109],"minimizing":[87],"associated":[89],"penalized":[90],"criterion.":[91,129],"proposed":[93,155],"method":[94],"is":[95,157,169],"applicable":[96],"large":[99],"choice":[100],"penalty":[103],"terms.":[104],"robustness":[106],"allows":[110],"us":[111],"handle":[113],"computational":[114],"difficulties":[115],"due":[116],"infinite":[118],"sums":[119],"arising":[120],"from":[121],"computation":[123],"gradient":[126],"finite":[132],"bounds":[133],"these":[135],"sums,":[136],"that":[137,183],"are":[138],"dependent":[139],"current":[142],"image":[143,160],"estimate,":[144],"thus":[146],"adapted":[147],"each":[149],"iteration":[150],"algorithm.":[153],"validated":[158],"examples.":[162],"Then,":[163],"exact":[165],"fidelity":[167],"term":[168],"used":[170],"as":[171],"reference":[173],"studying":[175],"some":[176],"its":[178],"various":[179],"approximations.":[180],"show":[182],"variational":[186],"framework":[187],"shifted":[189],"Poisson":[190],"exponential":[192],"lead":[194],"very":[196],"good":[197],"results.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":13},{"year":2014,"cited_by_count":2}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
