{"id":"https://openalex.org/W2995017748","doi":"https://doi.org/10.3390/a13010001","title":"Image Restoration Using a Fixed-Point Method for a TVL2 Regularization Problem","display_name":"Image Restoration Using a Fixed-Point Method for a TVL2 Regularization Problem","publication_year":2019,"publication_date":"2019-12-18","ids":{"openalex":"https://openalex.org/W2995017748","doi":"https://doi.org/10.3390/a13010001","mag":"2995017748"},"language":"en","primary_location":{"id":"doi:10.3390/a13010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13010001","pdf_url":"https://www.mdpi.com/1999-4893/13/1/1/pdf?version=1576919122","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/13/1/1/pdf?version=1576919122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035464014","display_name":"Kyoum Sun Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I163753206","display_name":"Chungbuk National University","ror":"https://ror.org/02wnxgj78","country_code":"KR","type":"education","lineage":["https://openalex.org/I163753206"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kyoum Sun Kim","raw_affiliation_strings":["Department of Mathematics, Chungbuk National University, Cheongju 28644, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chungbuk National University, Cheongju 28644, Korea","institution_ids":["https://openalex.org/I163753206"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054044303","display_name":"Jae Heon Yun","orcid":"https://orcid.org/0000-0001-6841-8137"},"institutions":[{"id":"https://openalex.org/I163753206","display_name":"Chungbuk National University","ror":"https://ror.org/02wnxgj78","country_code":"KR","type":"education","lineage":["https://openalex.org/I163753206"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jae Heon Yun","raw_affiliation_strings":["Department of Mathematics, College of Natural Sciences, Chungbuk National University, Cheongju 28644, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Natural Sciences, Chungbuk National University, Cheongju 28644, Korea","institution_ids":["https://openalex.org/I163753206"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054044303"],"corresponding_institution_ids":["https://openalex.org/I163753206"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9705,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74638349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9993000030517578,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7093880772590637},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7061702013015747},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6804449558258057},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5664190649986267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5202009081840515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5156278014183044},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5152714252471924},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.5140062570571899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46970412135124207},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46072840690612793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43957841396331787},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.42686909437179565},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.38029924035072327},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1943727433681488},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.19401708245277405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10327646136283875}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7093880772590637},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7061702013015747},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6804449558258057},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5664190649986267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5202009081840515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5156278014183044},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5152714252471924},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.5140062570571899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46970412135124207},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46072840690612793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43957841396331787},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.42686909437179565},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.38029924035072327},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1943727433681488},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.19401708245277405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10327646136283875},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a13010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13010001","pdf_url":"https://www.mdpi.com/1999-4893/13/1/1/pdf?version=1576919122","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:mdpi.com:/1999-4893/13/1/1/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/a13010001","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a13010001","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a13010001","pdf_url":"https://www.mdpi.com/1999-4893/13/1/1/pdf?version=1576919122","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G2658204863","display_name":null,"funder_award_id":"106071","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G342704958","display_name":null,"funder_award_id":"funded","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G561550999","display_name":null,"funder_award_id":"No. 2019R1F1A1060718","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G626505518","display_name":null,"funder_award_id":"No. 201","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G8936158132","display_name":null,"funder_award_id":"NRF-2018R1A6A3A01012976","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G982292920","display_name":null,"funder_award_id":"NRF-20","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2995017748.pdf","grobid_xml":"https://content.openalex.org/works/W2995017748.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W1546004968","https://openalex.org/W1579559187","https://openalex.org/W1953936588","https://openalex.org/W1971478618","https://openalex.org/W1975817866","https://openalex.org/W2006262045","https://openalex.org/W2018816711","https://openalex.org/W2019766749","https://openalex.org/W2039939700","https://openalex.org/W2053487511","https://openalex.org/W2061979078","https://openalex.org/W2086670019","https://openalex.org/W2103559027","https://openalex.org/W2107604145","https://openalex.org/W2142058898","https://openalex.org/W2142224912","https://openalex.org/W2167400582","https://openalex.org/W2316564661","https://openalex.org/W2661494406","https://openalex.org/W2798817241","https://openalex.org/W2902451884","https://openalex.org/W2962174874","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W2147776645","https://openalex.org/W2122094047","https://openalex.org/W399006150","https://openalex.org/W2049306475","https://openalex.org/W4292324088","https://openalex.org/W2027835668","https://openalex.org/W1230139712","https://openalex.org/W2997140122","https://openalex.org/W4362700221","https://openalex.org/W2403877097"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,16],"first":[4],"propose":[5,17],"a":[6],"new":[7,37,74,95],"TVL2":[8,39,76,83,96],"regularization":[9],"model":[10,77,84],"for":[11,34,46,53,93],"image":[12],"restoration,":[13],"and":[14,24,85],"then":[15],"two":[18,66],"iterative":[19,67],"methods,":[20,26],"which":[21],"are":[22,57],"fixed-point":[23,48],"fixed-point-like":[25,88],"using":[27],"CGLS":[28],"(Conjugate":[29],"Gradient":[30],"Least":[31],"Squares":[32],"method)":[33],"solving":[35],"the":[36,47,61,64,73,86,94],"proposed":[38,65,75,87],"problem.":[40],"We":[41],"also":[42],"provide":[43],"convergence":[44],"analysis":[45],"method.":[49],"Lastly,":[50],"numerical":[51],"experiments":[52],"several":[54],"test":[55],"problems":[56],"provided":[58],"to":[59],"evaluate":[60],"effectiveness":[62],"of":[63],"methods.":[68],"Numerical":[69],"results":[70],"show":[71],"that":[72],"is":[78,90],"preferred":[79],"over":[80],"an":[81],"existing":[82],"method":[89],"well":[91],"suited":[92],"model.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}