{"id":"https://openalex.org/W3122795287","doi":"https://doi.org/10.1109/icip42928.2021.9506226","title":"Enhanced Convergent PNP Algorithms For Image Restoration","display_name":"Enhanced Convergent PNP Algorithms For Image Restoration","publication_year":2021,"publication_date":"2021-08-23","ids":{"openalex":"https://openalex.org/W3122795287","doi":"https://doi.org/10.1109/icip42928.2021.9506226","mag":"3122795287"},"language":"en","primary_location":{"id":"doi:10.1109/icip42928.2021.9506226","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip42928.2021.9506226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Image Processing (ICIP)","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/A5045608650","display_name":"Matthieu Terris","orcid":null},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]},{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["GB","MY"],"is_corresponding":false,"raw_author_name":"Matthieu Terris","raw_affiliation_strings":["Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","institution_ids":["https://openalex.org/I32062511","https://openalex.org/I4210085930"]},{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083254809","display_name":"Audrey Repetti","orcid":"https://orcid.org/0000-0002-6296-6957"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]},{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["GB","MY"],"is_corresponding":false,"raw_author_name":"Audrey Repetti","raw_affiliation_strings":["Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","institution_ids":["https://openalex.org/I32062511","https://openalex.org/I4210085930"]},{"raw_affiliation_string":"Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["Université Paris-Saclay,CentraleSupélec, Inria, Center for Visual Computing,Gif sur Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay,CentraleSupélec, Inria, Center for Visual Computing,Gif sur Yvette,France,91190","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041620227","display_name":"Yves Wiaux","orcid":"https://orcid.org/0000-0002-1658-0121"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]},{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["GB","MY"],"is_corresponding":false,"raw_author_name":"Yves Wiaux","raw_affiliation_strings":["Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University,Edinburgh EH14 4AS,United Kingdom","institution_ids":["https://openalex.org/I32062511","https://openalex.org/I4210085930"]},{"raw_affiliation_string":"Institute of Sensors, Signals and Systems Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom","institution_ids":["https://openalex.org/I32062511"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7638,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80024271,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1684","last_page":"1688"},"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/image-restoration","display_name":"Image restoration","score":0.6576406359672546},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6495419144630432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6052714586257935},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5747043490409851},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5495709776878357},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5488867163658142},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5201706886291504},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5056734085083008},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.48996344208717346},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.45531025528907776},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.42020082473754883},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36853066086769104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3683411478996277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2629111409187317}],"concepts":[{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.6576406359672546},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6495419144630432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6052714586257935},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5747043490409851},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5495709776878357},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5488867163658142},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5201706886291504},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5056734085083008},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.48996344208717346},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.45531025528907776},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.42020082473754883},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36853066086769104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3683411478996277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2629111409187317},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip42928.2021.9506226","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip42928.2021.9506226","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G1205052666","display_name":null,"funder_award_id":"EP/M019306/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4145709284","display_name":null,"funder_award_id":"EP/P020267/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G802533138","display_name":null,"funder_award_id":"EP/M008843/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8701959158","display_name":null,"funder_award_id":"EP/T028270/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1861492603","https://openalex.org/W1946620893","https://openalex.org/W2000594266","https://openalex.org/W2006262045","https://openalex.org/W2080844831","https://openalex.org/W2087416986","https://openalex.org/W2103559027","https://openalex.org/W2115706991","https://openalex.org/W2121927366","https://openalex.org/W2138204001","https://openalex.org/W2154945960","https://openalex.org/W2189524148","https://openalex.org/W2556068545","https://openalex.org/W2613155248","https://openalex.org/W2741137940","https://openalex.org/W2905472194","https://openalex.org/W2949128855","https://openalex.org/W2949440985","https://openalex.org/W2963774720","https://openalex.org/W2963814976","https://openalex.org/W2982258910","https://openalex.org/W3034925446","https://openalex.org/W3049688872","https://openalex.org/W3102025760","https://openalex.org/W3118064383","https://openalex.org/W3167568784","https://openalex.org/W4296108817","https://openalex.org/W6639102338","https://openalex.org/W6687288259","https://openalex.org/W6762438721","https://openalex.org/W6773521587","https://openalex.org/W6785317514"],"related_works":["https://openalex.org/W2382174632","https://openalex.org/W2129959498","https://openalex.org/W2784060934","https://openalex.org/W2963936214","https://openalex.org/W4301895170","https://openalex.org/W2902714807","https://openalex.org/W2537489131","https://openalex.org/W2046633342","https://openalex.org/W2394084632","https://openalex.org/W2610026222"],"abstract_inverted_index":{"Image":[0],"restoration":[1,144],"has":[2],"long":[3],"been":[4,18],"one":[5],"of":[6,35,44,50,57,63,80,89,99,116],"the":[7,33,42,47,58,81,87,90,97,100,114],"key":[8],"research":[9],"topics":[10],"in":[11,40,66],"image":[12],"processing.":[13],"Many":[14],"mathematical":[15,75],"approaches":[16],"have":[17],"developed":[19],"to":[20,85,122,126,130,141],"solve":[21],"this":[22,109],"problem,":[23],"e.g.,":[24],"variational":[25],"methods,":[26],"wavelet":[27],"techniques,":[28],"or":[29],"Bayesian":[30],"methods.":[31],"With":[32],"widespread":[34],"neural":[36],"network":[37],"(NN)":[38],"models":[39],"all":[41],"subdomains":[43],"data":[45],"science,":[46],"performance":[48],"limits":[49],"these":[51,127,136],"methods":[52],"are":[53,103],"further":[54],"pushed.":[55],"One":[56,79],"most":[59],"successful":[60],"strategies":[61],"consists":[62],"plugging":[64],"NNs":[65,139],"existing":[67],"optimization":[68],"algorithms.":[69],"However,":[70],"so":[71],"doing":[72],"raises":[73],"several":[74],"and":[76,129],"practical":[77],"challenges.":[78],"main":[82],"issues":[83],"is":[84],"secure":[86],"convergence":[88],"resulting":[91],"iterative":[92],"scheme.":[93],"Further":[94],"questions":[95],"concerning":[96],"characterization":[98],"reached":[101],"limit":[102],"also":[104],"worth":[105],"being":[106],"addressed.":[107],"In":[108],"paper,":[110],"we":[111],"show":[112],"that":[113],"theory":[115],"maximally":[117],"monotone":[118],"operators":[119],"allows":[120],"us":[121],"bring":[123],"insightful":[124],"answers":[125],"problems":[128],"design":[131],"firmly":[132],"nonexpansive":[133],"NNs;":[134],"combining":[135],"with":[137],"postprocessing":[138],"leads":[140],"excellent":[142],"global":[143],"quality.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}