{"id":"https://openalex.org/W2032363154","doi":"https://doi.org/10.1007/s10444-011-9243-y","title":"Proximity algorithms for the L1/TV image denoising model","display_name":"Proximity algorithms for the L1/TV image denoising model","publication_year":2011,"publication_date":"2011-10-20","ids":{"openalex":"https://openalex.org/W2032363154","doi":"https://doi.org/10.1007/s10444-011-9243-y","mag":"2032363154"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-011-9243-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9243-y","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5002096458","display_name":"Charles A. Micchelli","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]},{"id":"https://openalex.org/I392282","display_name":"University at Albany, State University of New York","ror":"https://ror.org/012zs8222","country_code":"US","type":"education","lineage":["https://openalex.org/I392282"]}],"countries":["HK","US"],"is_corresponding":true,"raw_author_name":"Charles A. Micchelli","raw_affiliation_strings":["Department of Mathematics and Statistics, SUNY, Albany, NY, USA","Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, SUNY, Albany, NY, USA","institution_ids":["https://openalex.org/I392282"]},{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024769249","display_name":"Lixin Shen","orcid":"https://orcid.org/0000-0002-4369-321X"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lixin Shen","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026572582","display_name":"Yuesheng Xu","orcid":"https://orcid.org/0000-0003-3965-3087"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]},{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Yuesheng Xu","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066932465","display_name":"Xueying Zeng","orcid":"https://orcid.org/0000-0001-6346-365X"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueying Zeng","raw_affiliation_strings":["Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People\u2019s Republic of China","institution_ids":["https://openalex.org/I157773358"]},{"raw_affiliation_string":"Guangdong Province Key Lab of Computational Science, Sun Yat-sen University, Guangzhou, 510275, People's Republic of China","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002096458"],"corresponding_institution_ids":["https://openalex.org/I168719708","https://openalex.org/I392282"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6639,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.94228817,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"38","issue":"2","first_page":"401","last_page":"426"},"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":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6320637464523315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6222246289253235},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6001949906349182},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5421574711799622},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.5387749075889587},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5166366696357727},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.45940840244293213},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.44915738701820374},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4382869303226471},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43432140350341797},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.36722972989082336},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36090052127838135},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3345867097377777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.315044105052948},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.157514750957489},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14321306347846985}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6320637464523315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6222246289253235},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6001949906349182},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5421574711799622},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.5387749075889587},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5166366696357727},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.45940840244293213},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.44915738701820374},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4382869303226471},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43432140350341797},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.36722972989082336},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36090052127838135},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3345867097377777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.315044105052948},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.157514750957489},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14321306347846985},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-011-9243-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9243-y","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W326263280","https://openalex.org/W633772442","https://openalex.org/W1553702074","https://openalex.org/W1578985305","https://openalex.org/W1580963329","https://openalex.org/W1953936588","https://openalex.org/W1971478618","https://openalex.org/W1979072167","https://openalex.org/W1995398655","https://openalex.org/W1998999283","https://openalex.org/W2004675040","https://openalex.org/W2006262045","https://openalex.org/W2007406620","https://openalex.org/W2033511209","https://openalex.org/W2033603511","https://openalex.org/W2037981501","https://openalex.org/W2039939700","https://openalex.org/W2040378863","https://openalex.org/W2049709948","https://openalex.org/W2053972348","https://openalex.org/W2061979078","https://openalex.org/W2071418062","https://openalex.org/W2080883550","https://openalex.org/W2100503136","https://openalex.org/W2101675075","https://openalex.org/W2103559027","https://openalex.org/W2113075591","https://openalex.org/W2115706991","https://openalex.org/W2116148865","https://openalex.org/W2122287830","https://openalex.org/W2126132686","https://openalex.org/W2129638195","https://openalex.org/W2141851050","https://openalex.org/W2145096794","https://openalex.org/W2146772029","https://openalex.org/W2147850450","https://openalex.org/W2152612750","https://openalex.org/W2168334281","https://openalex.org/W2169288322","https://openalex.org/W2327462959","https://openalex.org/W2798766386","https://openalex.org/W4210541489","https://openalex.org/W4247537352","https://openalex.org/W4250344912"],"related_works":["https://openalex.org/W2588406281","https://openalex.org/W2535115339","https://openalex.org/W2344001031","https://openalex.org/W1605636162","https://openalex.org/W4385382439","https://openalex.org/W2756378021","https://openalex.org/W4292601995","https://openalex.org/W2890366747","https://openalex.org/W4297923868","https://openalex.org/W3042163361"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
