{"id":"https://openalex.org/W2171916037","doi":"https://doi.org/10.1109/tip.2011.2118221","title":"Denoising-Enhancing Images on Elastic Manifolds","display_name":"Denoising-Enhancing Images on Elastic Manifolds","publication_year":2011,"publication_date":"2011-02-22","ids":{"openalex":"https://openalex.org/W2171916037","doi":"https://doi.org/10.1109/tip.2011.2118221","mag":"2171916037","pmid":"https://pubmed.ncbi.nlm.nih.gov/21342847"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2011.2118221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2118221","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/A5091763855","display_name":"Vadim Ratner","orcid":"https://orcid.org/0000-0001-5296-8097"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"V. Ratner","raw_affiliation_strings":["Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel. vad@tx.technion.ac.il","Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel. vad@tx.technion.ac.il","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113698405","display_name":"Y.Y. Zeevi","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Y. Y. Zeevi","raw_affiliation_strings":["Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":1.3086,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.84553063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"8","first_page":"2099","last_page":"2109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9958999752998352,"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":0.9958999752998352,"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":0.9570000171661377,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9320999979972839,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anisotropic-diffusion","display_name":"Anisotropic diffusion","score":0.6450428366661072},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.6362273097038269},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5961114764213562},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5608554482460022},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5488163828849792},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5402774810791016},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4942779541015625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.483692467212677},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4736539125442505},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.460966557264328},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4490637183189392},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4464074969291687},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4420848488807678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4288441240787506},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.32212334871292114},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18887749314308167}],"concepts":[{"id":"https://openalex.org/C203504353","wikidata":"https://www.wikidata.org/wiki/Q4765461","display_name":"Anisotropic diffusion","level":3,"score":0.6450428366661072},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.6362273097038269},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5961114764213562},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5608554482460022},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5488163828849792},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5402774810791016},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4942779541015625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.483692467212677},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4736539125442505},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.460966557264328},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4490637183189392},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4464074969291687},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4420848488807678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4288441240787506},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.32212334871292114},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18887749314308167},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2011.2118221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2118221","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:21342847","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21342847","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:10.1.1.357.1838","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.357.1838","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://webee.technion.ac.il/people/zeevi/papers/69j-05719172.pdf","raw_type":"text"}],"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/W127809959","https://openalex.org/W172970261","https://openalex.org/W1491716407","https://openalex.org/W1571699948","https://openalex.org/W1965357373","https://openalex.org/W1981519513","https://openalex.org/W1984403698","https://openalex.org/W2027231990","https://openalex.org/W2032231305","https://openalex.org/W2033337690","https://openalex.org/W2034287032","https://openalex.org/W2042243302","https://openalex.org/W2062556352","https://openalex.org/W2065324197","https://openalex.org/W2071706553","https://openalex.org/W2080910010","https://openalex.org/W2092235451","https://openalex.org/W2097074225","https://openalex.org/W2103118596","https://openalex.org/W2103559027","https://openalex.org/W2104404402","https://openalex.org/W2108944658","https://openalex.org/W2114487471","https://openalex.org/W2146052399","https://openalex.org/W2150134853","https://openalex.org/W2163548944","https://openalex.org/W2164286848","https://openalex.org/W2164822588","https://openalex.org/W2170031024","https://openalex.org/W2502880094","https://openalex.org/W3003905160","https://openalex.org/W3151031781"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W2475096862","https://openalex.org/W2379232376","https://openalex.org/W2360134645","https://openalex.org/W2390549196","https://openalex.org/W1992788508","https://openalex.org/W2079140219","https://openalex.org/W2367765120","https://openalex.org/W2007919187","https://openalex.org/W2356724950"],"abstract_inverted_index":{"The":[0,82,154],"conflicting":[1],"demands":[2],"for":[3,134,160],"simultaneous":[4],"low-pass":[5],"and":[6,13,41,132,144,149],"high-pass":[7],"processing,":[8,165],"required":[9],"in":[10,64,76,89,102,126,142,169],"image":[11,80,130,164],"denoising":[12,90],"enhancement,":[14],"still":[15],"present":[16],"an":[17,94],"outstanding":[18],"challenge,":[19],"although":[20],"a":[21,45,60,65,73],"great":[22],"deal":[23],"of":[24,31,47,59,79,122,129,139,151,175],"progress":[25],"has":[26],"been":[27],"made":[28],"by":[29,72,92,166],"means":[30],"adaptive":[32,95,108],"diffusion-type":[33],"algorithms.":[34],"To":[35],"further":[36,158],"advance":[37],"such":[38],"processing":[39,131],"methods":[40,156],"algorithms,":[42],"we":[43],"introduce":[44],"family":[46],"second-order":[48],"(in":[49],"time)":[50],"partial":[51],"differential":[52],"equations.":[53],"These":[54],"equations":[55],"describe":[56],"the":[57,77,103,107,120,127,137,147,176],"motion":[58],"thin":[61],"elastic":[62],"sheet":[63],"damping":[66],"environment.":[67],"They":[68],"are":[69,157],"also":[70],"derived":[71],"variational":[74],"approach":[75,179],"context":[78,128],"processing.":[81],"new":[83,178],"operator":[84,125],"enables":[85],"better":[86,105],"edge":[87],"preservation":[88],"applications":[91],"offering":[93,112],"lowpass":[96],"filter,":[97,110],"which":[98],"preserves":[99],"high-frequency":[100],"components":[101],"pass-band":[104],"than":[106],"diffusion":[109],"while":[111],"slower":[113],"error":[114],"propagation":[115],"across":[116],"edges.":[117],"We":[118],"explore":[119],"action":[121,148],"this":[123,135,152],"powerful":[124],"exploit":[133],"purpose":[136],"wealth":[138],"knowledge":[140],"accumulated":[141],"physics":[143],"mathematics":[145],"about":[146],"behavior":[150],"operator.":[153],"resulting":[155],"generalized":[159],"color":[161],"and/or":[162],"texture":[163],"embedding":[167],"images":[168],"multidimensional":[170],"manifolds.":[171],"A":[172],"specific":[173],"application":[174],"proposed":[177],"to":[180],"superresolution":[181],"is":[182],"outlined.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}