{"id":"https://openalex.org/W2089481079","doi":"https://doi.org/10.1155/2010/250768","title":"Multiplicative Noise Removal via a Novel Variational Model","display_name":"Multiplicative Noise Removal via a Novel Variational Model","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2089481079","doi":"https://doi.org/10.1155/2010/250768","mag":"2089481079"},"language":"en","primary_location":{"id":"doi:10.1155/2010/250768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2010/250768","pdf_url":null,"source":{"id":"https://openalex.org/S153767265","display_name":"EURASIP Journal on Image and Video Processing","issn_l":"1687-5176","issn":["1687-5176","1687-5281"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Image and Video Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1155/2010/250768","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100729418","display_name":"Lili Huang","orcid":"https://orcid.org/0000-0002-8753-3170"},"institutions":[{"id":"https://openalex.org/I18570673","display_name":"Guangxi University of Science and Technology","ror":"https://ror.org/02fj6b627","country_code":"CN","type":"education","lineage":["https://openalex.org/I18570673"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li-Li Huang","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China and Department of Information and Computing Science, Guangxi University of Technology, Liuzh ...#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China and Department of Information and Computing Science, Guangxi University of Technology, Liuzh ...#TAB#","institution_ids":["https://openalex.org/I36399199","https://openalex.org/I18570673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020302879","display_name":"Liang Xiao","orcid":"https://orcid.org/0000-0003-0178-9384"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Xiao","raw_affiliation_strings":["School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, China#TAB#","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070343691","display_name":"Zhihui Wei","orcid":"https://orcid.org/0000-0002-4841-6051"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Hui Wei","raw_affiliation_strings":["Department of Applied Mathematics Nanjing University of Science and Technology Nanjing China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Nanjing University of Science and Technology Nanjing China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100729418"],"corresponding_institution_ids":["https://openalex.org/I18570673","https://openalex.org/I36399199"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":2.9097,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.91770097,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2010","issue":null,"first_page":"1","last_page":"16"},"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":0.9994000196456909,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.7247405648231506},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6428124904632568},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6202191114425659},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5287817716598511},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46979960799217224},{"id":"https://openalex.org/keywords/synthetic-aperture-radar","display_name":"Synthetic aperture radar","score":0.44506195187568665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4127536714076996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4060063660144806},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37984737753868103},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32381951808929443},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.25338369607925415},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.24524086713790894},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21268856525421143},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.1365591287612915}],"concepts":[{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.7247405648231506},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6428124904632568},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6202191114425659},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5287817716598511},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46979960799217224},{"id":"https://openalex.org/C87360688","wikidata":"https://www.wikidata.org/wiki/Q740686","display_name":"Synthetic aperture radar","level":2,"score":0.44506195187568665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4127536714076996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4060063660144806},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37984737753868103},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32381951808929443},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25338369607925415},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.24524086713790894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21268856525421143},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.1365591287612915},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2010/250768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2010/250768","pdf_url":null,"source":{"id":"https://openalex.org/S153767265","display_name":"EURASIP Journal on Image and Video Processing","issn_l":"1687-5176","issn":["1687-5176","1687-5281"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Image and Video Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:686118ce16274e0dab12be266ceb1120","is_oa":true,"landing_page_url":"https://doaj.org/article/686118ce16274e0dab12be266ceb1120","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Image and Video Processing, Vol 2010, Iss 1, p 250768 (2010)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:d16aedcba1574c26936c12ddd4bc789c","is_oa":true,"landing_page_url":"https://doaj.org/article/d16aedcba1574c26936c12ddd4bc789c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Image and Video Processing, Vol 2010 (2010)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2010/250768","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2010/250768","pdf_url":null,"source":{"id":"https://openalex.org/S153767265","display_name":"EURASIP Journal on Image and Video Processing","issn_l":"1687-5176","issn":["1687-5176","1687-5281"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Image and Video Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W112727521","https://openalex.org/W1505925137","https://openalex.org/W1549097054","https://openalex.org/W1559828538","https://openalex.org/W1998339281","https://openalex.org/W2004928853","https://openalex.org/W2006262045","https://openalex.org/W2006764723","https://openalex.org/W2010825468","https://openalex.org/W2011516671","https://openalex.org/W2013388817","https://openalex.org/W2020999234","https://openalex.org/W2035128422","https://openalex.org/W2049909233","https://openalex.org/W2054225369","https://openalex.org/W2078832975","https://openalex.org/W2079724595","https://openalex.org/W2085692415","https://openalex.org/W2089802788","https://openalex.org/W2103559027","https://openalex.org/W2104763670","https://openalex.org/W2108207814","https://openalex.org/W2115755118","https://openalex.org/W2122661899","https://openalex.org/W2122906070","https://openalex.org/W2127594500","https://openalex.org/W2130094715","https://openalex.org/W2136396015","https://openalex.org/W2136473316","https://openalex.org/W2139301071","https://openalex.org/W2144851790","https://openalex.org/W2149132745","https://openalex.org/W2155311268","https://openalex.org/W2167400582"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2014144525","https://openalex.org/W4287812451","https://openalex.org/W3022718941","https://openalex.org/W2506602630","https://openalex.org/W3097284316"],"abstract_inverted_index":{"<p/>":[0],"Multiplicative":[1],"noise":[2,26,52],"appears":[3],"in":[4,32],"various":[5,37],"image":[6,38],"processing":[7,39],"applications,":[8],"such":[9],"as":[10,64],"synthetic":[11],"aperture":[12],"radar,":[13],"ultrasound":[14],"imaging,":[15],"single":[16],"particle":[17],"emission-computed":[18],"tomography,":[19],"and":[20,36,60,72],"positron":[21],"emission":[22],"tomography.":[23],"Hence":[24],"multiplicative":[25,51],"removal":[27,53],"is":[28],"of":[29,70,74],"momentous":[30],"significance":[31],"coherent":[33],"imaging":[34],"systems":[35],"applications.":[40],"This":[41],"paper":[42],"proposes":[43],"a":[44,75,84,95],"nonconvex":[45],"Bayesian":[46],"type":[47],"variational":[48,79],"model":[49,105],"for":[50,77],"which":[54],"includes":[55],"the":[56,61,68,90,103],"total":[57],"variation":[58],"(TV)":[59],"Weberized":[62],"TV":[63],"regularizer.":[65],"We":[66],"study":[67],"issues":[69],"existence":[71],"uniqueness":[73],"minimizer":[76],"this":[78],"model.":[80],"Moreover,":[81],"we":[82],"develop":[83],"linearized":[85],"gradient":[86],"method":[87],"to":[88],"solve":[89],"associated":[91],"Euler-Lagrange":[92],"equation":[93],"via":[94],"fixed-point":[96],"iteration.":[97],"Our":[98],"experimental":[99],"results":[100],"show":[101],"that":[102],"proposed":[104],"has":[106],"good":[107],"performance.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
