{"id":"https://openalex.org/W2283025061","doi":"https://doi.org/10.1109/jstsp.2015.2493978","title":"Image Restoration Using Gradient Iteration and Constraints for Band Extrapolation","display_name":"Image Restoration Using Gradient Iteration and Constraints for Band Extrapolation","publication_year":2015,"publication_date":"2015-10-22","ids":{"openalex":"https://openalex.org/W2283025061","doi":"https://doi.org/10.1109/jstsp.2015.2493978","mag":"2283025061"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2015.2493978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2015.2493978","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1109/JSTSP.2015.2493978","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029845097","display_name":"Moacir Antonelli Ponti","orcid":"https://orcid.org/0000-0003-2059-9463"},"institutions":[{"id":"https://openalex.org/I4210131883","display_name":"Brazilian Society of Computational and Applied Mathematics","ror":"https://ror.org/03kcw4w74","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210131883"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Moacir Ponti","raw_affiliation_strings":["Universidade of S\u00e3o Paulo (USP), Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), S\u00e3o Carlos-SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade of S\u00e3o Paulo (USP), Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), S\u00e3o Carlos-SP, Brazil","institution_ids":["https://openalex.org/I4210131883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071584113","display_name":"Elias S. Helou","orcid":"https://orcid.org/0000-0001-5157-3851"},"institutions":[{"id":"https://openalex.org/I4210131883","display_name":"Brazilian Society of Computational and Applied Mathematics","ror":"https://ror.org/03kcw4w74","country_code":"BR","type":"other","lineage":["https://openalex.org/I4210131883"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Elias S. Helou","raw_affiliation_strings":["Universidade of S\u00e3o Paulo (USP), Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), S\u00e3o Carlos-SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade of S\u00e3o Paulo (USP), Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7\u00e3o (ICMC), S\u00e3o Carlos-SP, Brazil","institution_ids":["https://openalex.org/I4210131883"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043255416","display_name":"Paulo J. S. G. Ferreira","orcid":"https://orcid.org/0000-0002-5147-0948"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paulo Jorge S. G. Ferreira","raw_affiliation_strings":["DETI/IEETA, Universidade de Aveiro, Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"DETI/IEETA, Universidade de Aveiro, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007782375","display_name":"Nelson D. A. Mascarenhas","orcid":"https://orcid.org/0000-0003-0803-753X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nelson D. A. Mascarenhas","raw_affiliation_strings":["Faculdade Campo Limpo Paulista (FACCAMP)\u2014Campo Limpo Paulista-SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Faculdade Campo Limpo Paulista (FACCAMP)\u2014Campo Limpo Paulista-SP, Brazil","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029845097"],"corresponding_institution_ids":["https://openalex.org/I4210131883"],"apc_list":null,"apc_paid":null,"fwci":1.1234,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85443351,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"71","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9997000098228455,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/image-restoration","display_name":"Image restoration","score":0.7955566644668579},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.6024956107139587},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.550628125667572},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.527866542339325},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5022120475769043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48560968041419983},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4852159321308136},{"id":"https://openalex.org/keywords/cardinal-point","display_name":"Cardinal point","score":0.4776638448238373},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4767480790615082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.472942590713501},{"id":"https://openalex.org/keywords/iterative-and-incremental-development","display_name":"Iterative and incremental development","score":0.4343910217285156},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43038511276245117},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4292968809604645},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42254164814949036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40868139266967773},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.37900349497795105},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.30865728855133057},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12865370512008667}],"concepts":[{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.7955566644668579},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.6024956107139587},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.550628125667572},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.527866542339325},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5022120475769043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48560968041419983},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4852159321308136},{"id":"https://openalex.org/C138395690","wikidata":"https://www.wikidata.org/wiki/Q376733","display_name":"Cardinal point","level":2,"score":0.4776638448238373},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4767480790615082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.472942590713501},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.4343910217285156},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43038511276245117},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4292968809604645},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42254164814949036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40868139266967773},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.37900349497795105},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30865728855133057},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12865370512008667},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":3,"locations":[{"id":"doi:10.1109/jstsp.2015.2493978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2015.2493978","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"},{"id":"pmh:002726769","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/JSTSP.2015.2493978","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:www.producao.usp.br:BDPI/49872","is_oa":false,"landing_page_url":"http://www.producao.usp.br/handle/BDPI/49872","pdf_url":null,"source":{"id":"https://openalex.org/S4306401373","display_name":"Scientific Electronic Library Online (S\u00e3o Paulo Research Foundation, Latin American and Caribbean Center on Health Sciences Information, Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2982035970","host_organization_name":"Costa Rican Department of Social Security","host_organization_lineage":["https://openalex.org/I2982035970"],"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":{"id":"pmh:002726769","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/JSTSP.2015.2493978","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5215831889","display_name":null,"funder_award_id":"PDEE 1378-07-4","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G5990746028","display_name":null,"funder_award_id":"2013/07375-0","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8450761995","display_name":null,"funder_award_id":"2013/16508-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1481471836","https://openalex.org/W1565748232","https://openalex.org/W1580095901","https://openalex.org/W1586180564","https://openalex.org/W1965013875","https://openalex.org/W1978893233","https://openalex.org/W1982061533","https://openalex.org/W1983348509","https://openalex.org/W1987062121","https://openalex.org/W1994954140","https://openalex.org/W1997814978","https://openalex.org/W2005778669","https://openalex.org/W2015131139","https://openalex.org/W2020111712","https://openalex.org/W2021623758","https://openalex.org/W2024829682","https://openalex.org/W2027749513","https://openalex.org/W2031740917","https://openalex.org/W2043685114","https://openalex.org/W2046704833","https://openalex.org/W2051933044","https://openalex.org/W2060597018","https://openalex.org/W2067877923","https://openalex.org/W2079576032","https://openalex.org/W2088909704","https://openalex.org/W2108108630","https://openalex.org/W2108943734","https://openalex.org/W2111202632","https://openalex.org/W2117502217","https://openalex.org/W2120300097","https://openalex.org/W2129836234","https://openalex.org/W2132304537","https://openalex.org/W2137829366","https://openalex.org/W2143805215","https://openalex.org/W2144037063","https://openalex.org/W2150892679","https://openalex.org/W2159269332","https://openalex.org/W2170608748","https://openalex.org/W2171556515","https://openalex.org/W4254553107"],"related_works":["https://openalex.org/W2082807331","https://openalex.org/W2022562732","https://openalex.org/W1495035728","https://openalex.org/W2498640783","https://openalex.org/W2034475059","https://openalex.org/W2026748623","https://openalex.org/W2758781407","https://openalex.org/W2528330837","https://openalex.org/W2360231538","https://openalex.org/W2170974505"],"abstract_inverted_index":{"Images":[0],"obtained":[1],"with":[2,147],"optical":[3],"microscopes":[4],"are":[5],"often":[6],"blurred":[7],"and":[8,49,141],"corrupted":[9],"by":[10,28,73,108],"noise.":[11],"Specially":[12],"in":[13,22,32,123],"wide-field":[14],"microscopy,":[15],"there":[16],"is":[17,43,82],"a":[18,29,60,67,104,109,131,142],"strong":[19],"out-of-focus":[20],"blur":[21],"focal":[23,138],"plane":[24,139],"direction,":[25],"caused":[26],"mainly":[27],"frequency":[30],"loss":[31],"the":[33,74,89,92,97,121,148],"acquisition":[34],"process.":[35],"In":[36,55],"order":[37,124],"to":[38,45,84,125],"restore":[39],"these":[40],"images":[41,71],"it":[42,81],"important":[44],"use":[46,85],"non-linear":[47],"methods":[48],"relevant":[50],"prior":[51],"knowledge":[52],"as":[53,103],"constraints.":[54],"this":[56,79],"paper,":[57],"we":[58,117],"propose":[59],"projection":[61],"onto":[62,113],"convex":[63],"sets":[64],"framework":[65,80],"using":[66,120],"sequence":[68,110],"of":[69,111,134],"prototype":[70],"inspired":[72],"Richardson\u2013Lucy":[75],"iterative":[76,98,150],"algorithm.":[77,152],"Within":[78],"possible":[83],"constraints":[86],"while":[87],"restoring":[88],"image,":[90],"during":[91],"iterations.":[93],"We":[94],"prove":[95],"that":[96],"method":[99],"can":[100],"be":[101],"implemented":[102],"gradient":[105],"iteration,":[106],"followed":[107],"projections":[112],"constraint":[114],"sets.":[115],"Moreover,":[116],"performed":[118],"experiments":[119],"techniques":[122],"improve":[126],"restoration.":[127],"The":[128],"results":[129],"showed":[130],"better":[132,143],"restoration":[133,140,151],"frequencies,":[135],"an":[136],"improved":[137],"contrast":[144],"when":[145],"compared":[146],"regular":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}