{"id":"https://openalex.org/W2951162040","doi":"https://doi.org/10.1080/00207160.2019.1628222","title":"On the application of Lehmer means in signal and image processing","display_name":"On the application of Lehmer means in signal and image processing","publication_year":2019,"publication_date":"2019-06-14","ids":{"openalex":"https://openalex.org/W2951162040","doi":"https://doi.org/10.1080/00207160.2019.1628222","mag":"2951162040"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1628222","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1628222","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5067555613","display_name":"Sergio Amat","orcid":"https://orcid.org/0000-0002-9954-5240"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sergio Amat","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067260006","display_name":"\u00c1. Alberto Magre\u00f1\u00e1n","orcid":"https://orcid.org/0000-0002-6991-5706"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1ngel A. Magre\u00f1\u00e1n","raw_affiliation_strings":["Departamento de Matem\u00e1ticas y Computaci\u00f3n, U. de La Rioja, La Rioja, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas y Computaci\u00f3n, U. de La Rioja, La Rioja, Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111561833","display_name":"Juan Ruiz","orcid":"https://orcid.org/0009-0003-6319-5589"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Juan Ruiz","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047593195","display_name":"J. Carlos Trillo","orcid":"https://orcid.org/0000-0001-5566-8663"},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan C. Trillo","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, U. Polit\u00e9cnica de Cartagena, Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003107639","display_name":"Dionisio F. Y\u00e1\u00f1ez","orcid":"https://orcid.org/0000-0002-6206-1971"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Dionisio F. Y\u00e1\u00f1ez","raw_affiliation_strings":["Departamento de Did\u00e1ctica de la Matem\u00e1tica, U. de Valencia (EG), Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Did\u00e1ctica de la Matem\u00e1tica, U. de Valencia (EG), Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111561833"],"corresponding_institution_ids":["https://openalex.org/I3123212020"],"apc_list":null,"apc_paid":null,"fwci":0.1892,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48865869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"97","issue":"7","first_page":"1503","last_page":"1528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.963699996471405,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9571999907493591,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/subdivision","display_name":"Subdivision","score":0.8432952761650085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6716457605361938},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5537567734718323},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.5481987595558167},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.5246465802192688},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4963296055793762},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4816693067550659},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.456757128238678},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4564930498600006},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.45392554998397827},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4012991487979889},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3897261619567871},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37859034538269043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2909047603607178},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1807502806186676},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.14274823665618896},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.11118322610855103},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10743799805641174},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.07755029201507568}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8432952761650085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6716457605361938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5537567734718323},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5481987595558167},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.5246465802192688},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4963296055793762},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4816693067550659},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.456757128238678},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4564930498600006},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.45392554998397827},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4012991487979889},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3897261619567871},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37859034538269043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2909047603607178},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1807502806186676},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14274823665618896},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.11118322610855103},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10743799805641174},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.07755029201507568},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1628222","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1628222","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3869655843","display_name":null,"funder_award_id":"MTM 2014-54388P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G565187902","display_name":null,"funder_award_id":"20928/PI/18","funder_id":"https://openalex.org/F4320310087","funder_display_name":"Fundaci\u00f3n S\u00e9neca"},{"id":"https://openalex.org/G6188538860","display_name":null,"funder_award_id":"MTM2015-64382-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7067031417","display_name":null,"funder_award_id":"MTM2017-83942-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7852295192","display_name":null,"funder_award_id":"MTM2014-52016-C2-1-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320310087","display_name":"Fundaci\u00f3n S\u00e9neca","ror":"https://ror.org/03q68pf65"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W20914128","https://openalex.org/W85435400","https://openalex.org/W136284106","https://openalex.org/W143639168","https://openalex.org/W1120718222","https://openalex.org/W1523281138","https://openalex.org/W1968825054","https://openalex.org/W1981603854","https://openalex.org/W1987718466","https://openalex.org/W1989106427","https://openalex.org/W1991286139","https://openalex.org/W1994808173","https://openalex.org/W2006395627","https://openalex.org/W2007842613","https://openalex.org/W2044084385","https://openalex.org/W2052329331","https://openalex.org/W2055731483","https://openalex.org/W2067143705","https://openalex.org/W2067862350","https://openalex.org/W2068349368","https://openalex.org/W2085427268","https://openalex.org/W2090642340","https://openalex.org/W2095665834","https://openalex.org/W2146842127","https://openalex.org/W2157787988","https://openalex.org/W2159528388","https://openalex.org/W2238333734","https://openalex.org/W2278588192","https://openalex.org/W2580894462","https://openalex.org/W2588979830","https://openalex.org/W2604119715","https://openalex.org/W2608130873","https://openalex.org/W2780803485","https://openalex.org/W2792192070","https://openalex.org/W2800053695","https://openalex.org/W3005363104","https://openalex.org/W4251619700"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W2783321079","https://openalex.org/W3156779570","https://openalex.org/W2561145776","https://openalex.org/W4251927596","https://openalex.org/W179768712","https://openalex.org/W2374536561","https://openalex.org/W2962880471"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,24,45,64,93,159],"devoted":[3],"to":[4,25,29,47,65,73,95,125,140,144],"the":[5,18,48,75,78,88,97,100,115,153,156,162,168],"construction":[6],"and":[7,14,36,132,172],"analysis":[8],"of":[9,58,77,90,99,155,164,170],"some":[10,127],"new":[11,79],"non-linear":[12],"subdivision":[13,145,165],"multiresolution":[15],"schemes":[16,166],"using":[17,104],"Lehmer":[19,157],"means.":[20],"Our":[21,62],"main":[22,42],"objective":[23],"attain":[26],"adaption":[27],"close":[28],"discontinuities.":[30],"We":[31],"present":[32,126],"theoretical,":[33],"numerical":[34],"results":[35,128],"applications":[37,150],"for":[38,87,129,161,167,173],"different":[39],"schemes.":[40],"The":[41],"theoretical":[43],"result":[44],"related":[46],"four-point":[49],"interpolatory":[50],"scheme,":[51,120,135],"that":[52,71,121,136,152],"we":[53,112,122,137],"write":[54],"as":[55],"a":[56,59,67,83,105,133],"perturbation":[57],"linear":[60],"scheme.":[61,80],"aim":[63],"establish":[66],"one-step":[68,84],"contraction":[69,85],"property":[70,86],"allows":[72],"prove":[74,96],"stability":[76,98],"Indeed":[81],"with":[82],"scheme":[89],"differences,":[91],"it":[92],"possible":[94],"2D":[101],"algorithm":[102],"constructed":[103],"tensor":[106],"product":[107],"approach.":[108],"In":[109],"this":[110],"article,":[111],"also":[113],"consider":[114],"associated":[116],"three":[117],"points":[118],"cell-average":[119],"will":[123,138],"use":[124,139,154],"image":[130,174],"compression,":[131],"non-interpolatory":[134],"introduce":[141],"an":[142],"application":[143],"curves":[146,171],"in":[147],"2D.":[148],"These":[149],"show":[151],"mean":[158],"suitable":[160],"design":[163],"generation":[169],"processing.":[175]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
