{"id":"https://openalex.org/W2106809525","doi":"https://doi.org/10.1109/tip.2009.2029594","title":"Shearlet-Based Deconvolution","display_name":"Shearlet-Based Deconvolution","publication_year":2009,"publication_date":"2009-08-11","ids":{"openalex":"https://openalex.org/W2106809525","doi":"https://doi.org/10.1109/tip.2009.2029594","mag":"2106809525","pmid":"https://pubmed.ncbi.nlm.nih.gov/19666337"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2009.2029594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2029594","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5004716468","display_name":"Vishal M. Patel","orcid":"https://orcid.org/0000-0002-5239-692X"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V.M. Patel","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA. pvishalm@umd.edu","Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA. pvishalm@umd.edu","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088245220","display_name":"Glenn R. Easley","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.R. Easley","raw_affiliation_strings":["Department of Mathematics, University of Maryland, College Park, MD, USA","Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110242804","display_name":"D.M. Healy","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.M. Healy","raw_affiliation_strings":["Department of Mathematics, University of Maryland, College Park, MD, USA","Dept. of Math., Univ. of Maryland, College Park, MD, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Maryland, College Park, MD, USA#TAB#","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004716468"],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":7.2176,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.97448155,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"18","issue":"12","first_page":"2673","last_page":"2685"},"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":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9994999766349792,"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/shearlet","display_name":"Shearlet","score":0.9829031825065613},{"id":"https://openalex.org/keywords/curvelet","display_name":"Curvelet","score":0.8128618001937866},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.8026324510574341},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6187223792076111},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5667179226875305},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.5148178935050964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5047484636306763},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.47487160563468933},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4516635239124298},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.44011202454566956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43615245819091797},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.355705589056015},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.3483350872993469},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08967667818069458}],"concepts":[{"id":"https://openalex.org/C67795661","wikidata":"https://www.wikidata.org/wiki/Q17018993","display_name":"Shearlet","level":3,"score":0.9829031825065613},{"id":"https://openalex.org/C131720326","wikidata":"https://www.wikidata.org/wiki/Q5196075","display_name":"Curvelet","level":4,"score":0.8128618001937866},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.8026324510574341},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6187223792076111},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5667179226875305},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5148178935050964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5047484636306763},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.47487160563468933},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4516635239124298},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.44011202454566956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43615245819091797},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.355705589056015},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3483350872993469},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08967667818069458},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2009.2029594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2029594","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:19666337","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19666337","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.369.4744","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.369.4744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.umiacs.umd.edu/users/pvishalm/Journal_pub/ShearDec.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W18046889","https://openalex.org/W59771946","https://openalex.org/W200633896","https://openalex.org/W1485280399","https://openalex.org/W1517804326","https://openalex.org/W1594234351","https://openalex.org/W1667165204","https://openalex.org/W1835905189","https://openalex.org/W1965570176","https://openalex.org/W1975000956","https://openalex.org/W1977905043","https://openalex.org/W1986475423","https://openalex.org/W1990381576","https://openalex.org/W1997146646","https://openalex.org/W2005836623","https://openalex.org/W2007203285","https://openalex.org/W2029026810","https://openalex.org/W2038457848","https://openalex.org/W2046245205","https://openalex.org/W2065285155","https://openalex.org/W2071723133","https://openalex.org/W2073996439","https://openalex.org/W2079724595","https://openalex.org/W2079756223","https://openalex.org/W2082352113","https://openalex.org/W2086600055","https://openalex.org/W2088909704","https://openalex.org/W2092543127","https://openalex.org/W2096613063","https://openalex.org/W2097061348","https://openalex.org/W2105282667","https://openalex.org/W2105536051","https://openalex.org/W2106002835","https://openalex.org/W2109030076","https://openalex.org/W2110505738","https://openalex.org/W2111226488","https://openalex.org/W2115528090","https://openalex.org/W2115706991","https://openalex.org/W2115755118","https://openalex.org/W2117853853","https://openalex.org/W2122768752","https://openalex.org/W2123142395","https://openalex.org/W2132680427","https://openalex.org/W2134929491","https://openalex.org/W2137155471","https://openalex.org/W2140064412","https://openalex.org/W2140598595","https://openalex.org/W2145003640","https://openalex.org/W2147573997","https://openalex.org/W2148688551","https://openalex.org/W2149115432","https://openalex.org/W2151191108","https://openalex.org/W2154507364","https://openalex.org/W2158940042","https://openalex.org/W2168226778","https://openalex.org/W2170608748","https://openalex.org/W2296099801","https://openalex.org/W3103184409","https://openalex.org/W4214806317","https://openalex.org/W4255521522","https://openalex.org/W6668895831"],"related_works":["https://openalex.org/W2296210702","https://openalex.org/W3032434938","https://openalex.org/W2106809525","https://openalex.org/W2365684588","https://openalex.org/W1975454241","https://openalex.org/W2080597906","https://openalex.org/W2561072616","https://openalex.org/W2037328875","https://openalex.org/W23086544","https://openalex.org/W2367537358"],"abstract_inverted_index":{"In":[0],"this":[1,142],"paper,":[2],"a":[3,19,24,70,93,133],"new":[4,71],"type":[5],"of":[6,62,66,69,74,112,128],"deconvolution":[7,151],"algorithm":[8,81],"is":[9,12,108],"proposed":[10],"that":[11,29,61,82,141],"based":[13],"on":[14,92],"estimating":[15],"the":[16,75,85,109,113,117,129],"image":[17],"from":[18,60],"shearlet":[20,76],"decomposition.":[21],"Shearlets":[22],"provide":[23],"multidirectional":[25,96],"and":[26,49,95,123],"multiscale":[27,94],"decomposition":[28],"has":[30],"been":[31],"mathematically":[32],"shown":[33],"to":[34,89],"represent":[35],"distributed":[36],"discontinuities":[37],"such":[38,46,105],"as":[39,47,106],"edges":[40],"better":[41,147],"than":[42,148],"traditional":[43],"wavelets.":[44],"Constructions":[45],"curvelets":[48],"contourlets":[50],"share":[51],"similar":[52],"properties,":[53],"yet":[54],"their":[55],"implementations":[56],"are":[57],"significantly":[58,146],"different":[59],"shearlets.":[63],"Taking":[64],"advantage":[65],"unique":[67],"properties":[68],"M-channel":[72],"implementation":[73],"transform,":[77],"we":[78],"develop":[79],"an":[80],"allows":[83],"for":[84,116,120],"approximation":[86],"inversion":[87],"operator":[88],"be":[90],"controlled":[91],"basis.":[97],"A":[98],"key":[99],"improvement":[100],"over":[101],"closely":[102],"related":[103],"approaches":[104],"ForWaRD":[107],"automatic":[110],"determination":[111],"threshold":[114],"values":[115],"noise":[118,130],"shrinkage":[119],"each":[121],"scale":[122],"direction":[124],"without":[125],"explicit":[126],"knowledge":[127],"variance":[131],"using":[132],"generalized":[134],"cross":[135],"validation":[136],"(GCV).":[137],"Various":[138],"tests":[139],"show":[140],"method":[143],"can":[144],"perform":[145],"many":[149],"competitive":[150],"algorithms.":[152]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":15}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
