{"id":"https://openalex.org/W2135089338","doi":"https://doi.org/10.1109/tip.2009.2033398","title":"Variational Bayesian Image Restoration With a Product of Spatially Weighted Total Variation Image Priors","display_name":"Variational Bayesian Image Restoration With a Product of Spatially Weighted Total Variation Image Priors","publication_year":2009,"publication_date":"2009-09-30","ids":{"openalex":"https://openalex.org/W2135089338","doi":"https://doi.org/10.1109/tip.2009.2033398","mag":"2135089338","pmid":"https://pubmed.ncbi.nlm.nih.gov/19789114"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2009.2033398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2033398","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/A5052096322","display_name":"Giannis Chantas","orcid":"https://orcid.org/0000-0003-0585-7102"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Giannis Chantas","raw_affiliation_strings":["Department of Computer Science, University of Ioannina, Greece. gchantas@yahoo.gr","Dept. of Computer Science, Univ. of Ioannina, Ioannina, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ioannina, Greece. gchantas@yahoo.gr","institution_ids":["https://openalex.org/I194019607"]},{"raw_affiliation_string":"Dept. of Computer Science, Univ. of Ioannina, Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109244882","display_name":"Nikolaos Galatsanos","orcid":null},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos P. Galatsanos","raw_affiliation_strings":["Department of Computer Science, University of Patras, Rion, Greece","Dept. of Electr. Eng., Univ. of Patras Rio, Patras Rio, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Patras, Rion, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Univ. of Patras Rio, Patras Rio, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023830568","display_name":"Rafael Molina","orcid":"https://orcid.org/0000-0003-4694-8588"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafael Molina","raw_affiliation_strings":["Departamento de Ciencias de la Computaci\u00f3n e I. A, Universidad de Granada, Granada, Spain","Dept. de Cienc. de la Comput. e I. A., Univ. de Granada, Granada, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencias de la Computaci\u00f3n e I. A, Universidad de Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"Dept. de Cienc. de la Comput. e I. A., Univ. de Granada, Granada, Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048650003","display_name":"Aggelos K. Katsaggelos","orcid":"https://orcid.org/0000-0003-4554-0070"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aggelos K. Katsaggelos","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","Dept. of Electr. Eng. and Comput. Sci., Northwestern Univ., Evanston, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Dept. of Electr. Eng. and Comput. Sci., Northwestern Univ., Evanston, IL, USA#TAB#","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.4059,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.98000912,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"19","issue":"2","first_page":"351","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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":0.9990000128746033,"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":0.998199999332428,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.8457685708999634},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.8268840312957764},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.587838888168335},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5870260000228882},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5516881346702576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.509994626045227},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.46227866411209106},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.43470078706741333},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.43326523900032043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42742449045181274},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.42341750860214233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4140284061431885},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.40515267848968506},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.37504974007606506}],"concepts":[{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.8457685708999634},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.8268840312957764},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.587838888168335},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5870260000228882},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5516881346702576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.509994626045227},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.46227866411209106},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.43470078706741333},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.43326523900032043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42742449045181274},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.42341750860214233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4140284061431885},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.40515267848968506},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.37504974007606506}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2009.2033398","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2033398","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:19789114","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19789114","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:10.1.1.330.7981","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.7981","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ivpl.ece.northwestern.edu/system/files/chantas.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W19793066","https://openalex.org/W1499695691","https://openalex.org/W1506342804","https://openalex.org/W1506806321","https://openalex.org/W1513886199","https://openalex.org/W1536316401","https://openalex.org/W1579559187","https://openalex.org/W1633751774","https://openalex.org/W1648445109","https://openalex.org/W1663973292","https://openalex.org/W1978702630","https://openalex.org/W2102298614","https://openalex.org/W2103559027","https://openalex.org/W2106002835","https://openalex.org/W2116641053","https://openalex.org/W2119632409","https://openalex.org/W2119695388","https://openalex.org/W2128104012","https://openalex.org/W2131686571","https://openalex.org/W2135226297","https://openalex.org/W2135367316","https://openalex.org/W2145319246","https://openalex.org/W2151289376","https://openalex.org/W2163887005","https://openalex.org/W2163940565","https://openalex.org/W4212863985","https://openalex.org/W4255600897","https://openalex.org/W4285719527","https://openalex.org/W6636690510","https://openalex.org/W6679931704"],"related_works":["https://openalex.org/W2580650124","https://openalex.org/W4386190339","https://openalex.org/W2968424575","https://openalex.org/W3142333283","https://openalex.org/W3122088529","https://openalex.org/W2085259108","https://openalex.org/W3041320102","https://openalex.org/W2793406240","https://openalex.org/W2164129707","https://openalex.org/W4292122269"],"abstract_inverted_index":{"In":[0],"this":[1,30,54,97],"paper,":[2],"a":[3],"new":[4],"image":[5,12,39,51,93],"prior":[6,15,31,55,98],"is":[7,16,48,64,80],"introduced":[8],"and":[9,79],"used":[10,49],"in":[11,67],"restoration.":[13],"This":[14],"based":[17,44,95],"on":[18,96],"products":[19],"of":[20],"spatially":[21],"weighted":[22],"total":[23],"variations":[24],"(TV).":[25],"These":[26],"spatial":[27],"weights":[28],"provide":[29],"with":[32,53,101],"the":[33,57,68,77],"flexibility":[34],"to":[35],"better":[36],"capture":[37],"local":[38],"features":[40],"than":[41,82],"previous":[42,83,102],"TV":[43],"priors.":[45],"Bayesian":[46],"inference":[47],"for":[50],"restoration":[52,62,94,104],"via":[56],"variational":[58],"approximation.":[59],"The":[60],"proposed":[61],"algorithm":[63],"fully":[65],"automatic":[66],"sense":[69],"that":[70,92],"all":[71],"necessary":[72],"parameters":[73],"are":[74,88],"estimated":[75],"from":[76],"data":[78],"faster":[81],"similar":[84],"algorithms.":[85,105],"Numerical":[86],"experiments":[87],"shown":[89],"which":[90],"demonstrate":[91],"compares":[99],"favorably":[100],"state-of-the-art":[103]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":10}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}