{"id":"https://openalex.org/W2047911951","doi":"https://doi.org/10.1109/icip.2014.7025548","title":"Denoising using projections onto the epigraph set of convex cost functions","display_name":"Denoising using projections onto the epigraph set of convex cost functions","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2047911951","doi":"https://doi.org/10.1109/icip.2014.7025548","mag":"2047911951"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2014.7025548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2014.7025548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5026535457","display_name":"Mohammad Tofighi","orcid":"https://orcid.org/0000-0002-3249-1399"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mohammad Tofighi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey","[Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"[Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey]","institution_ids":["https://openalex.org/I168864056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074048076","display_name":"K\u0131van\u00e7 K\u00f6se","orcid":"https://orcid.org/0000-0003-3185-2639"},"institutions":[{"id":"https://openalex.org/I1334819555","display_name":"Memorial Sloan Kettering Cancer Center","ror":"https://ror.org/02yrq0923","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1334819555"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kivanc Kose","raw_affiliation_strings":["Dermatology Department, Memorial Sloan Kettering Cancer Center, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dermatology Department, Memorial Sloan Kettering Cancer Center, New York, USA","institution_ids":["https://openalex.org/I1334819555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113644545","display_name":"A. Enis \u00c7etin","orcid":"https://orcid.org/0009-0009-7700-7124"},"institutions":[{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"A. Enis Cetin","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey","[Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"[Department of Electrical and Electronic Engineering, Bilkent University, Ankara, Turkey]","institution_ids":["https://openalex.org/I168864056"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":null,"first_page":"2709","last_page":"2713"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9976999759674072,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/epigraph","display_name":"Epigraph","score":0.9778831005096436},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5958811640739441},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4958818852901459},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4930548369884491},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4835069477558136},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4406946897506714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4343802332878113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4107426702976227},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3955345153808594},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33809059858322144},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3375956118106842},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25745174288749695}],"concepts":[{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.9778831005096436},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5958811640739441},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4958818852901459},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4930548369884491},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4835069477558136},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4406946897506714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4343802332878113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4107426702976227},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3955345153808594},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33809059858322144},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3375956118106842},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25745174288749695},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2014.7025548","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2014.7025548","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.bilkent.edu.tr:11693/28663","is_oa":false,"landing_page_url":"http://hdl.handle.net/11693/28663","pdf_url":null,"source":{"id":"https://openalex.org/S4306400079","display_name":"Bilkent University Institutional Repository (Bilkent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I168864056","host_organization_name":"Bilkent University","host_organization_lineage":["https://openalex.org/I168864056"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the International Conference on Image Processing, IEEE 2014","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1913018934","https://openalex.org/W1946620893","https://openalex.org/W1964365657","https://openalex.org/W1965457516","https://openalex.org/W1984958640","https://openalex.org/W1990139477","https://openalex.org/W1993212240","https://openalex.org/W1996287810","https://openalex.org/W2000748685","https://openalex.org/W2004304255","https://openalex.org/W2005089986","https://openalex.org/W2007203285","https://openalex.org/W2019794334","https://openalex.org/W2033468335","https://openalex.org/W2040319497","https://openalex.org/W2044281231","https://openalex.org/W2044810215","https://openalex.org/W2051933044","https://openalex.org/W2057176614","https://openalex.org/W2063978378","https://openalex.org/W2066333552","https://openalex.org/W2084263592","https://openalex.org/W2085440994","https://openalex.org/W2086855704","https://openalex.org/W2090991423","https://openalex.org/W2098514788","https://openalex.org/W2098616382","https://openalex.org/W2100108897","https://openalex.org/W2101447418","https://openalex.org/W2103559027","https://openalex.org/W2104266187","https://openalex.org/W2111395440","https://openalex.org/W2115908389","https://openalex.org/W2119276713","https://openalex.org/W2120985577","https://openalex.org/W2133665775","https://openalex.org/W2141937552","https://openalex.org/W2148894924","https://openalex.org/W2185916416","https://openalex.org/W2246091536","https://openalex.org/W2594827121","https://openalex.org/W2963668075","https://openalex.org/W3123837026","https://openalex.org/W6639917952","https://openalex.org/W6677426283","https://openalex.org/W6690990772","https://openalex.org/W6765853321"],"related_works":["https://openalex.org/W2355558294","https://openalex.org/W2392366684","https://openalex.org/W2381998515","https://openalex.org/W2393671386","https://openalex.org/W2377617670","https://openalex.org/W2713931874","https://openalex.org/W2361142453","https://openalex.org/W3164236790","https://openalex.org/W2364727532","https://openalex.org/W4387635768"],"abstract_inverted_index":{"A":[0],"new":[1],"denoising":[2,77],"algorithm":[3,78],"based":[4],"on":[5],"orthogonal":[6,99],"projections":[7],"onto":[8,103],"the":[9,22,25,37,41,47,61,95,106,111],"epigraph":[10,42,63],"set":[11,64,69],"of":[12,24,94,105],"a":[13,52,67,115],"convex":[14,53,68],"cost":[15,38,49,112,138],"function":[16,39,50,54,113],"is":[17,28,51,65,101],"presented.":[18],"In":[19],"this":[20],"algorithm,":[21],"dimension":[23],"minimization":[26],"problem":[27],"lifted":[29],"by":[30],"one":[31,104],"and":[32,136],"feasibility":[33],"sets":[34,108],"corresponding":[35,62],"to":[36],"using":[40],"concept":[43],"are":[44],"defined.":[45],"As":[46],"utilized":[48],"in":[55,70,85,114],"R":[56,71,86],"<sup":[57,72,87],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58,73,88,128,133],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sup>":[59],",":[60,130,135],"also":[66],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N+1</sup>":[74,89],".":[75,90],"The":[76,118],"starts":[79],"with":[80,110],"an":[81,98],"arbitrary":[82],"initial":[83],"estimate":[84],"At":[91],"each":[92],"step":[93],"iterative":[96],"denoising,":[97],"projection":[100],"performed":[102],"constraint":[107],"associated":[109],"sequential":[116],"manner.":[117],"method":[119],"provides":[120],"globally":[121],"optimal":[122],"solutions":[123],"for":[124],"total-variation,":[125],"\u2113":[126,131],"<sub":[127,132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[134],"entropic":[137],"functions.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
