{"id":"https://openalex.org/W2055120612","doi":"https://doi.org/10.1137/s1052623402406789","title":"A Fast Automatic Algorithm for Image Denoising by a Regularization Method","display_name":"A Fast Automatic Algorithm for Image Denoising by a Regularization Method","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2055120612","doi":"https://doi.org/10.1137/s1052623402406789","mag":"2055120612"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623402406789","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623402406789","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5011508604","display_name":"Piero Barone","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P. Barone","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051432580","display_name":"Massimiliano Caramia","orcid":"https://orcid.org/0000-0002-9925-1306"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Caramia","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011508604"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59971352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"2","first_page":"573","last_page":"592"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9927999973297119,"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"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9876999855041504,"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/mathematics","display_name":"Mathematics","score":0.6643400192260742},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6438449025154114},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5486942529678345},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.511961817741394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4509515166282654},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41570451855659485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31385356187820435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19764640927314758}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643400192260742},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6438449025154114},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5486942529678345},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.511961817741394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4509515166282654},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41570451855659485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31385356187820435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19764640927314758},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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":2,"locations":[{"id":"doi:10.1137/s1052623402406789","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623402406789","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:art.torvergata.it:2108/36711","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/36711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W186085407","https://openalex.org/W1480546554","https://openalex.org/W1487686614","https://openalex.org/W1534416612","https://openalex.org/W1601541039","https://openalex.org/W1986938753","https://openalex.org/W1990676004","https://openalex.org/W1992276332","https://openalex.org/W2001002651","https://openalex.org/W2031604650","https://openalex.org/W2034272342","https://openalex.org/W2079104779","https://openalex.org/W2080744942","https://openalex.org/W2083377170","https://openalex.org/W2090963365","https://openalex.org/W2100115174","https://openalex.org/W2105910985","https://openalex.org/W2111576569","https://openalex.org/W2116641053","https://openalex.org/W2120423892","https://openalex.org/W2125542221","https://openalex.org/W2126247504","https://openalex.org/W2128978199","https://openalex.org/W2135622428","https://openalex.org/W2150134853","https://openalex.org/W2168530812","https://openalex.org/W2320459610","https://openalex.org/W2478091498","https://openalex.org/W2798766386","https://openalex.org/W2913192828","https://openalex.org/W3046916097","https://openalex.org/W4253250161"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2052122378","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W3209466624"],"abstract_inverted_index":{"A":[0,21,110],"new":[1],"fast":[2,155],"iterative":[3],"algorithm":[4,42,94,123],"is":[5,39,60,90,113,133],"proposed":[6,31],"to":[7,35],"denoise":[8],"images":[9],"affected":[10],"by":[11,15,26],"Gaussian":[12],"additive":[13],"noise,":[14],"solving":[16],"a":[17,27,64,71,74,96,102,118,134],"constrained":[18],"optimization":[19],"problem.":[20],"family":[22,59,100],"of":[23,57,63,98,104,121,127,137],"functionals":[24],"parameterized":[25],"few":[28],"hyperparameters":[29],"already":[30],"in":[32],"the":[33,45,48,58,67,84,99,108,122,138],"literature":[34],"solve":[36],"denoising":[37,156],"problems":[38],"considered.":[40,92],"The":[41,93],"estimates":[43],"jointly":[44],"image":[46],"and":[47,70,77,101,145],"hyperparameters,":[49],"therefore":[50],"providing":[51],"an":[52,87],"automatic":[53],"method.":[54],"Each":[55],"member":[56,97],"made":[61],"up":[62],"coherence":[65],"with":[66,153],"data":[68,147],"term":[69,72],"enforcing":[73],"roughness":[75],"penalty":[76],"preserving":[78],"jump":[79],"discontinuities.":[80],"Assuming":[81],"we":[82],"know":[83],"noise":[85],"variance,":[86],"adequacy":[88],"constraint":[89],"also":[91],"computes":[95],"minimizer":[103],"it":[105],"which":[106,124],"satisfies":[107],"constraint.":[109],"convergence":[111],"proof":[112],"provided.":[114,159],"We":[115],"then":[116],"consider":[117],"heuristic":[119],"version":[120],"gives":[125],"restorations":[126],"comparable":[128],"quality":[129],"whose":[130],"computational":[131],"complexity":[132],"linear":[135],"function":[136],"pixels":[139],"number.":[140],"Experimental":[141],"results":[142],"on":[143],"synthetic":[144],"real":[146],"are":[148,158],"presented.":[149],"Moreover,":[150],"numerical":[151],"comparisons":[152],"several":[154],"methods":[157]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}