{"id":"https://openalex.org/W2093622097","doi":"https://doi.org/10.1137/080741410","title":"A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images","display_name":"A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2093622097","doi":"https://doi.org/10.1137/080741410","mag":"2093622097"},"language":"en","primary_location":{"id":"doi:10.1137/080741410","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080741410","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","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/A5004126693","display_name":"Raymond H. Chan","orcid":"https://orcid.org/0000-0003-0910-4685"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raymond H. Chan","raw_affiliation_strings":["rchan@math.cuhk.edu.hk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"rchan@math.cuhk.edu.hk#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100452006","display_name":"Ke Chen","orcid":"https://orcid.org/0000-0002-6093-6623"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ke Chen","raw_affiliation_strings":["k.chen@liverpool.ac.uk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"k.chen@liverpool.ac.uk#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9954,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.87434754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"2","first_page":"1043","last_page":"1063"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9990000128746033,"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":0.9987000226974487,"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/deblurring","display_name":"Deblurring","score":0.9848767518997192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.743407130241394},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6366763710975647},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.6155526638031006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5512253046035767},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.5430589914321899},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.4752252399921417},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.41938576102256775},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.3812794089317322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38088059425354004},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3445685803890228},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31816089153289795},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.312383770942688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23175311088562012}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.9848767518997192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.743407130241394},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6366763710975647},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.6155526638031006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5512253046035767},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.5430589914321899},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.4752252399921417},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.41938576102256775},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.3812794089317322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38088059425354004},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3445685803890228},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31816089153289795},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.312383770942688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23175311088562012}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/080741410","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080741410","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.155.3109","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.3109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cuhk.edu.hk/~rchan/paper/cc-blur.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.216.329","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.216.329","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cuhk.edu.hk/%7Erchan/paper/cc-blur.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W51196400","https://openalex.org/W195596239","https://openalex.org/W648869842","https://openalex.org/W949087861","https://openalex.org/W1518639170","https://openalex.org/W1520757484","https://openalex.org/W1540764732","https://openalex.org/W1579559187","https://openalex.org/W1596169490","https://openalex.org/W1607836799","https://openalex.org/W1966164811","https://openalex.org/W1972406935","https://openalex.org/W1976792725","https://openalex.org/W1978333359","https://openalex.org/W1981444038","https://openalex.org/W1984648213","https://openalex.org/W1985588167","https://openalex.org/W1985741394","https://openalex.org/W1986850130","https://openalex.org/W1989893875","https://openalex.org/W1990274520","https://openalex.org/W1997434358","https://openalex.org/W1998999283","https://openalex.org/W2005089986","https://openalex.org/W2017848200","https://openalex.org/W2018837545","https://openalex.org/W2039698270","https://openalex.org/W2039939700","https://openalex.org/W2061565858","https://openalex.org/W2061979078","https://openalex.org/W2067736594","https://openalex.org/W2068099534","https://openalex.org/W2077008103","https://openalex.org/W2080385522","https://openalex.org/W2083206954","https://openalex.org/W2084115655","https://openalex.org/W2086517326","https://openalex.org/W2090963365","https://openalex.org/W2092018092","https://openalex.org/W2095733320","https://openalex.org/W2096448861","https://openalex.org/W2103559027","https://openalex.org/W2104804805","https://openalex.org/W2105469730","https://openalex.org/W2107604145","https://openalex.org/W2113389081","https://openalex.org/W2114424556","https://openalex.org/W2119310316","https://openalex.org/W2122890444","https://openalex.org/W2136906206","https://openalex.org/W2146052399","https://openalex.org/W2150060382","https://openalex.org/W2151560811","https://openalex.org/W2159384543","https://openalex.org/W2163705594","https://openalex.org/W2163779523","https://openalex.org/W2167400582","https://openalex.org/W2170120409","https://openalex.org/W2277216078","https://openalex.org/W2309773721","https://openalex.org/W2478091498","https://openalex.org/W2798766386","https://openalex.org/W2798817241","https://openalex.org/W2997883289"],"related_works":["https://openalex.org/W2031788393","https://openalex.org/W791927757","https://openalex.org/W2008686286","https://openalex.org/W2182590612","https://openalex.org/W2066650801","https://openalex.org/W2905397092","https://openalex.org/W3153582293","https://openalex.org/W2077051484","https://openalex.org/W3207832039","https://openalex.org/W2006843870"],"abstract_inverted_index":{"In":[0],"this":[1,61,74,79],"paper,":[2],"we":[3],"develop":[4],"a":[5,53,84,109],"fast":[6,28,41,66,85,124],"multilevel":[7,86],"algorithm":[8,125],"for":[9,30,43,94,130],"simultaneously":[10,95],"denoising":[11,36,46,87,96],"and":[12,34,47,63,97],"deblurring":[13,48],"images":[14,142],"under":[15],"the":[16,31,35,44,91,105,113,120,133],"total":[17],"variation":[18],"regularization.":[19],"Although":[20],"much":[21],"effort":[22],"has":[23],"been":[24],"devoted":[25],"to":[26,51,82,89,103],"developing":[27],"algorithms":[29,42,67],"numerical":[32,137],"solution":[33],"problem":[37],"was":[38],"satisfactorily":[39],"solved,":[40],"combined":[45],"model":[49,62,93],"remain":[50],"be":[52,128],"challenge.":[54],"Recently":[55],"several":[56],"successful":[57],"studies":[58],"of":[59,78,112],"approximating":[60],"subsequently":[64],"finding":[65],"were":[68],"conducted":[69],"which":[70],"have":[71],"partially":[72],"solved":[73],"problem.":[75],"The":[76],"aim":[77],"paper":[80],"is":[81,102],"generalize":[83],"method":[88],"solving":[90,132],"minimization":[92],"deblurring.":[98],"Our":[99],"new":[100],"idea":[101],"overcome":[104],"complexity":[106],"issue":[107],"by":[108],"detailed":[110],"study":[111],"structured":[114],"matrices":[115],"that":[116],"are":[117,143],"associated":[118],"with":[119],"blurring":[121],"operator.":[122],"A":[123],"can":[126],"then":[127],"obtained":[129],"directly":[131],"variational":[134],"model.":[135],"Supporting":[136],"experiments":[138],"on":[139],"gray":[140],"scale":[141],"presented.":[144]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
