{"id":"https://openalex.org/W2091061172","doi":"https://doi.org/10.1109/isbi.2013.6556701","title":"Performance analysis of denoising with low-rank and sparsity constraints","display_name":"Performance analysis of denoising with low-rank and sparsity constraints","publication_year":2013,"publication_date":"2013-04-01","ids":{"openalex":"https://openalex.org/W2091061172","doi":"https://doi.org/10.1109/isbi.2013.6556701","mag":"2091061172"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2013.6556701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2013.6556701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 10th International Symposium on Biomedical Imaging","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/A5085245155","display_name":"Fan Lam","orcid":"https://orcid.org/0000-0002-4124-0663"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fan Lam","raw_affiliation_strings":["Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062325991","display_name":"Chao Ma","orcid":"https://orcid.org/0000-0002-2016-8084"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chao Ma","raw_affiliation_strings":["Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019294923","display_name":"Zhi\u2010Pei Liang","orcid":"https://orcid.org/0000-0003-4586-3056"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhi-Pei Liang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, and Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1223","last_page":"1226"},"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/noise-reduction","display_name":"Noise reduction","score":0.8661819696426392},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7503939867019653},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.628041684627533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5834184885025024},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5656841993331909},{"id":"https://openalex.org/keywords/video-denoising","display_name":"Video denoising","score":0.5506128072738647},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4874151051044464},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4861440360546112},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4849874973297119},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4568099081516266},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.450344055891037},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.44004717469215393},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4259004294872284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3091471195220947},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2934788465499878},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10437732934951782}],"concepts":[{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.8661819696426392},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7503939867019653},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.628041684627533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5834184885025024},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5656841993331909},{"id":"https://openalex.org/C30814859","wikidata":"https://www.wikidata.org/wiki/Q4119603","display_name":"Video denoising","level":5,"score":0.5506128072738647},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4874151051044464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4861440360546112},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4849874973297119},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4568099081516266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.450344055891037},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.44004717469215393},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4259004294872284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3091471195220947},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2934788465499878},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10437732934951782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C23431618","wikidata":"https://www.wikidata.org/wiki/Q1404672","display_name":"Multiview Video Coding","level":4,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C202474056","wikidata":"https://www.wikidata.org/wiki/Q1931635","display_name":"Video tracking","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isbi.2013.6556701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2013.6556701","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE 10th International Symposium on Biomedical Imaging","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1510355813","https://openalex.org/W1997147589","https://openalex.org/W2024971034","https://openalex.org/W2025852341","https://openalex.org/W2034260606","https://openalex.org/W2039851473","https://openalex.org/W2044902835","https://openalex.org/W2094597486","https://openalex.org/W2098576660","https://openalex.org/W2099103871","https://openalex.org/W2109515693","https://openalex.org/W2113891902","https://openalex.org/W2128203095","https://openalex.org/W2135036909","https://openalex.org/W2136396015","https://openalex.org/W2146842127","https://openalex.org/W2153663612","https://openalex.org/W3105340263"],"related_works":["https://openalex.org/W2387796150","https://openalex.org/W1987356308","https://openalex.org/W3119800349","https://openalex.org/W4385272703","https://openalex.org/W2513570774","https://openalex.org/W2139368882","https://openalex.org/W4214691059","https://openalex.org/W3108403339","https://openalex.org/W4287867034","https://openalex.org/W3005783148"],"abstract_inverted_index":{"Recent":[0],"denoising":[1,29,43,91],"methods":[2],"that":[3],"exploit":[4],"the":[5,11,24,42,54,64,83,100],"low-rank":[6,47,103],"property":[7],"and":[8,48,104],"sparsity":[9,49,105],"of":[10,27,41,45,102],"underlying":[12],"signals":[13],"have":[14,31],"produced":[15],"impressive":[16],"empirical":[17],"results":[18,94],"in":[19],"various":[20],"imaging":[21],"applications.":[22],"However,":[23],"fundamental":[25],"limits":[26],"their":[28],"capability":[30],"not":[32],"been":[33],"systematically":[34],"analyzed.":[35],"This":[36],"paper":[37],"presents":[38],"an":[39],"analysis":[40],"effects":[44],"imposing":[46],"constraints.":[50],"Specifically,":[51],"we":[52],"use":[53],"constrained":[55],"Cram\u00e9r-Rao":[56],"lower":[57],"bound":[58],"to":[59,81],"derive":[60],"upper":[61],"bounds":[62,85],"on":[63],"maximum":[65],"noise":[66,87],"reduction":[67],"when":[68],"applying":[69],"these":[70],"two":[71],"constraints,":[72],"individually":[73],"or":[74],"simultaneously.":[75],"We":[76],"also":[77],"perform":[78],"numerical":[79],"simulations":[80],"compare":[82],"theoretical":[84],"with":[86],"reductions":[88],"from":[89],"practical":[90],"methods.":[92],"These":[93],"should":[95],"provide":[96],"useful":[97],"insights":[98],"into":[99],"utility":[101],"constraints":[106],"for":[107],"denoising.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
