{"id":"https://openalex.org/W1993298233","doi":"https://doi.org/10.1137/130911275","title":"Image Restoration Using One-Dimensional Sobolev Norm Profiles of Noise and Texture","display_name":"Image Restoration Using One-Dimensional Sobolev Norm Profiles of Noise and Texture","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1993298233","doi":"https://doi.org/10.1137/130911275","mag":"1993298233"},"language":"en","primary_location":{"id":"doi:10.1137/130911275","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130911275","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100765704","display_name":"Yunho Kim","orcid":"https://orcid.org/0000-0003-2679-0090"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yunho Kim","raw_affiliation_strings":["Yale University  ;"],"affiliations":[{"raw_affiliation_string":"Yale University  ;","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004502356","display_name":"John B. Garnett","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John B. Garnett","raw_affiliation_strings":["University of California\u2013Los Angeles"],"affiliations":[{"raw_affiliation_string":"University of California\u2013Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064779505","display_name":"Luminita A. Vese","orcid":"https://orcid.org/0000-0003-3002-9982"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luminita A. Vese","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100765704"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06866314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","first_page":"366","last_page":"390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9977999925613403,"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":0.9977999925613403,"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":0.991100013256073,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9789999723434448,"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/deblurring","display_name":"Deblurring","score":0.8569284677505493},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.7407380938529968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6586641073226929},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5166106820106506},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.47941869497299194},{"id":"https://openalex.org/keywords/texture","display_name":"Texture (cosmology)","score":0.4750349819660187},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.44686147570610046},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43911775946617126},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4138285219669342},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.4122054874897003},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.3631582260131836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34302058815956116},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3367258310317993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27916419506073},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2602412700653076},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.23487421870231628},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20942768454551697}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.8569284677505493},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.7407380938529968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6586641073226929},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5166106820106506},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.47941869497299194},{"id":"https://openalex.org/C2781195486","wikidata":"https://www.wikidata.org/wiki/Q289436","display_name":"Texture (cosmology)","level":3,"score":0.4750349819660187},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44686147570610046},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43911775946617126},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4138285219669342},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.4122054874897003},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.3631582260131836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34302058815956116},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3367258310317993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27916419506073},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2602412700653076},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.23487421870231628},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20942768454551697},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130911275","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130911275","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:scholarworks.unist.ac.kr:201301/6707","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84897531195","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W207373900","https://openalex.org/W1488881187","https://openalex.org/W1521936910","https://openalex.org/W1531642634","https://openalex.org/W1537519384","https://openalex.org/W1753871439","https://openalex.org/W1772489020","https://openalex.org/W1895520453","https://openalex.org/W1966329403","https://openalex.org/W1984213606","https://openalex.org/W1992950686","https://openalex.org/W1993822606","https://openalex.org/W1994813083","https://openalex.org/W2008076677","https://openalex.org/W2009511046","https://openalex.org/W2010239610","https://openalex.org/W2011181254","https://openalex.org/W2012118748","https://openalex.org/W2017848200","https://openalex.org/W2020999234","https://openalex.org/W2034713765","https://openalex.org/W2034885738","https://openalex.org/W2038649727","https://openalex.org/W2039158956","https://openalex.org/W2039939700","https://openalex.org/W2040663502","https://openalex.org/W2045094421","https://openalex.org/W2045559171","https://openalex.org/W2060945009","https://openalex.org/W2066630786","https://openalex.org/W2082351038","https://openalex.org/W2092231222","https://openalex.org/W2103559027","https://openalex.org/W2112575052","https://openalex.org/W2117092561","https://openalex.org/W2119658486","https://openalex.org/W2123142395","https://openalex.org/W2123606372","https://openalex.org/W2129014341","https://openalex.org/W2130604180","https://openalex.org/W2136396015","https://openalex.org/W2145003640","https://openalex.org/W2154996879","https://openalex.org/W2157496900","https://openalex.org/W2168334281","https://openalex.org/W2333995994","https://openalex.org/W2971788173","https://openalex.org/W3029645440"],"related_works":["https://openalex.org/W4286826125","https://openalex.org/W2031788393","https://openalex.org/W791927757","https://openalex.org/W2182590612","https://openalex.org/W2905397092","https://openalex.org/W1605757717","https://openalex.org/W3153582293","https://openalex.org/W3207832039","https://openalex.org/W2269775642","https://openalex.org/W3080537281"],"abstract_inverted_index":{"This":[0],"work":[1,17],"is":[2,32,123,132],"devoted":[3],"to":[4,29,34,67,80,153,176],"image":[5,26],"restoration":[6],"(denoising":[7],"and":[8,48,120,155,168,172],"deblurring)":[9],"by":[10,145],"variational":[11],"models.":[12],"As":[13],"in":[14,56,72,105],"our":[15],"prior":[16],"[Inverse":[18],"Probl.":[19],"Imaging,":[20],"3":[21],"(2009),":[22],"pp.":[23],"43--68],":[24],"the":[25,36,129,161,183],"$\\tilde":[27],"f$":[28],"be":[30,35],"restored":[31],"assumed":[33],"sum":[37],"of":[38,45,63,99,149],"a":[39,49,57,73,137,147],"cartoon":[40],"component":[41,51],"$u$":[42],"(a":[43],"function":[44,55],"bounded":[46],"variation)":[47],"texture":[50,71,119,144,167,181],"$v$":[52],"(an":[53],"oscillatory":[54],"Sobolev":[58,97,150,163],"space":[59],"with":[60],"negative":[61,100],"degree":[62],"differentiability).":[64],"In":[65],"order":[66],"separate":[68,178],"noise":[69,142,154,169,179],"from":[70,91,143,180],"blurred":[74],"noisy":[75],"textured":[76],"image,":[77],"we":[78,135],"need":[79],"collect":[81],"some":[82],"information":[83],"that":[84,95,160],"helps":[85],"distinguish":[86],"noise,":[87,90,121],"especially":[88,127],"Gaussian":[89],"texture.":[92,156],"We":[93],"know":[94],"homogeneous":[96],"spaces":[98,111],"differentiability":[101],"help":[102],"capture":[103],"oscillations":[104],"images":[106],"very":[107],"well;":[108],"however,":[109],"these":[110],"do":[112],"not":[113],"directly":[114],"provide":[115],"clear":[116],"distinction":[117],"between":[118],"which":[122],"also":[124],"highly":[125],"oscillatory,":[126],"when":[128],"blurring":[130],"effect":[131],"noticeable.":[133],"Here,":[134],"propose":[136],"new":[138],"method":[139],"for":[140,166],"distinguishing":[141],"considering":[146],"family":[148],"norms":[151],"corresponding":[152],"It":[157],"turns":[158],"out":[159],"two":[162],"norm":[164],"profiles":[165],"are":[170],"different,":[171],"this":[173],"enables":[174],"us":[175],"better":[177],"during":[182],"deblurring":[184],"process.":[185]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
