{"id":"https://openalex.org/W3016979651","doi":"https://doi.org/10.15388/20-infor407","title":"An Efficient Total Variation Minimization Method for Image Restoration","display_name":"An Efficient Total Variation Minimization Method for Image Restoration","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3016979651","doi":"https://doi.org/10.15388/20-infor407","mag":"3016979651"},"language":"en","primary_location":{"id":"doi:10.15388/20-infor407","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor407","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1168/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1168/file/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040445473","display_name":"Cong Thang Pham","orcid":"https://orcid.org/0000-0002-6428-102X"},"institutions":[{"id":"https://openalex.org/I3129492623","display_name":"University of Da Nang","ror":"https://ror.org/03ecpp171","country_code":"VN","type":"education","lineage":["https://openalex.org/I3129492623"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Cong Thang Pham","raw_affiliation_strings":["The University of Danang -University of Science and Technology, 54 Nguyen Luong Bang, Danang, Vietnam"],"affiliations":[{"raw_affiliation_string":"The University of Danang -University of Science and Technology, 54 Nguyen Luong Bang, Danang, Vietnam","institution_ids":["https://openalex.org/I3129492623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028120119","display_name":"Thi Thu Thao Tran","orcid":"https://orcid.org/0000-0001-7705-2405"},"institutions":[{"id":"https://openalex.org/I3129492623","display_name":"University of Da Nang","ror":"https://ror.org/03ecpp171","country_code":"VN","type":"education","lineage":["https://openalex.org/I3129492623"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Thi Thu Thao Tran","raw_affiliation_strings":["The University of Danang -University of Economics, 71 Ngu Hanh Son, Danang, Vietnam"],"affiliations":[{"raw_affiliation_string":"The University of Danang -University of Economics, 71 Ngu Hanh Son, Danang, Vietnam","institution_ids":["https://openalex.org/I3129492623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040482831","display_name":"Guilhem Gamard","orcid":"https://orcid.org/0000-0002-3951-9649"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guilhem Gamard","raw_affiliation_strings":["LIP, ENS de Lyon, 46 alle d'Italie, 69364 Lyon, France","LIP, ENS de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon, France"],"affiliations":[{"raw_affiliation_string":"LIP, ENS de Lyon, 46 alle d'Italie, 69364 Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"]},{"raw_affiliation_string":"LIP, ENS de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040445473"],"corresponding_institution_ids":["https://openalex.org/I3129492623"],"apc_list":null,"apc_paid":null,"fwci":1.7586,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86916045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"539","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","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"}},{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9987999796867371,"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":0.9958000183105469,"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/uniqueness","display_name":"Uniqueness","score":0.7829511165618896},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6969451904296875},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6847560405731201},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.65721595287323},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.6459259986877441},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6156413555145264},{"id":"https://openalex.org/keywords/shot-noise","display_name":"Shot noise","score":0.5820074081420898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5465183258056641},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5422654151916504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5257086157798767},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.512374758720398},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4844805896282196},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.42691415548324585},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.42423635721206665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36992794275283813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36636966466903687},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.17159762978553772},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16685152053833008},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15708103775978088},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1408214271068573},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07403597235679626}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7829511165618896},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6969451904296875},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6847560405731201},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.65721595287323},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.6459259986877441},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6156413555145264},{"id":"https://openalex.org/C72659945","wikidata":"https://www.wikidata.org/wiki/Q1503574","display_name":"Shot noise","level":3,"score":0.5820074081420898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5465183258056641},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5422654151916504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5257086157798767},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.512374758720398},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4844805896282196},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.42691415548324585},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.42423635721206665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36992794275283813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36636966466903687},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.17159762978553772},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16685152053833008},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15708103775978088},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1408214271068573},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07403597235679626},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","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/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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15388/20-infor407","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor407","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1168/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04912906v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04912906","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Informatica, 2020, pp.539-560. &#x27E8;10.15388/20-INFOR407&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.15388/20-infor407","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor407","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1168/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320316674","display_name":"\u0110\u1ea1i h\u1ecdc \u0110\u00e0 N\u1eb5ng","ror":"https://ror.org/03ecpp171"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3016979651.pdf","grobid_xml":"https://content.openalex.org/works/W3016979651.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W190374205","https://openalex.org/W260788981","https://openalex.org/W432496696","https://openalex.org/W1915743070","https://openalex.org/W1965735782","https://openalex.org/W1971478618","https://openalex.org/W1978333359","https://openalex.org/W1998339281","https://openalex.org/W2005089986","https://openalex.org/W2006221457","https://openalex.org/W2027051720","https://openalex.org/W2043778742","https://openalex.org/W2046130462","https://openalex.org/W2064632689","https://openalex.org/W2103559027","https://openalex.org/W2108855378","https://openalex.org/W2110264793","https://openalex.org/W2136035751","https://openalex.org/W2142058898","https://openalex.org/W2181619750","https://openalex.org/W2298855392","https://openalex.org/W2327387119","https://openalex.org/W2547777900","https://openalex.org/W2755327666","https://openalex.org/W2903195431","https://openalex.org/W2944362548","https://openalex.org/W2979404411","https://openalex.org/W3104072696","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2303132117","https://openalex.org/W2118587210","https://openalex.org/W2887168800","https://openalex.org/W2390285263","https://openalex.org/W2499334499","https://openalex.org/W1983047266","https://openalex.org/W1994135796","https://openalex.org/W3180153763","https://openalex.org/W2726761918","https://openalex.org/W2147704231"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"an":[5],"effective":[6],"algorithm":[7],"for":[8,21,55],"solving":[9],"the":[10,22,30,34,36,43,49,52],"Poisson\u2013Gaussian":[11,24],"total":[12],"variation":[13],"model.":[14],"The":[15],"existence":[16],"and":[17,64],"uniqueness":[18],"of":[19,33,51],"solution":[20],"mixed":[23,56],"model":[25],"are":[26],"proved.":[27],"Due":[28],"to":[29,41],"strict":[31],"convexity":[32],"model,":[35],"split-Bregman":[37],"method":[38,54],"is":[39,67],"employed":[40],"solve":[42],"minimization":[44],"problem.":[45],"Experimental":[46],"results":[47],"show":[48],"effectiveness":[50],"proposed":[53],"Poisson\u2013Gaussion":[57],"noise":[58],"removal.":[59],"Comparison":[60],"with":[61],"other":[62],"existing":[63],"well-known":[65],"methods":[66],"provided":[68],"as":[69],"well.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
