{"id":"https://openalex.org/W2121577640","doi":"https://doi.org/10.1186/1687-6180-2012-60","title":"Sparse multidimensional modal analysis using a multigrid dictionary refinement","display_name":"Sparse multidimensional modal analysis using a multigrid dictionary refinement","publication_year":2012,"publication_date":"2012-03-08","ids":{"openalex":"https://openalex.org/W2121577640","doi":"https://doi.org/10.1186/1687-6180-2012-60","mag":"2121577640"},"language":"en","primary_location":{"id":"doi:10.1186/1687-6180-2012-60","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-60","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-60","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-60","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074063368","display_name":"Souleymen Sahnoun","orcid":"https://orcid.org/0000-0002-0363-213X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Souleymen Sahnoun","raw_affiliation_strings":["CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014240446","display_name":"El\u2010Hadi Djermoune","orcid":"https://orcid.org/0000-0001-6605-2928"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"El-Hadi Djermoune","raw_affiliation_strings":["CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025224509","display_name":"Charles Soussen","orcid":"https://orcid.org/0000-0002-6837-6755"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Soussen","raw_affiliation_strings":["CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039172462","display_name":"David Brie","orcid":"https://orcid.org/0000-0002-2373-3480"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Brie","raw_affiliation_strings":["CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, BP 70239, Vandoeuvre, 54506, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792"]},{"raw_affiliation_string":"CRAN, Nancy-Universit\u00e9, CNRS, Boulevard des Aiguillettes, Vandoeuvre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074063368"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":4.5044,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93764677,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/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/T10638","display_name":"Optical measurement and interference techniques","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.711236834526062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6816046237945557},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6765428781509399},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.6478042602539062},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6153770685195923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5856057405471802},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5222112536430359},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34618332982063293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2506309151649475}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.711236834526062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6816046237945557},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6765428781509399},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.6478042602539062},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6153770685195923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5856057405471802},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5222112536430359},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34618332982063293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2506309151649475},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/1687-6180-2012-60","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-60","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-60","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00680714v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00680714","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, 2012, pp.2012:60. ⟨10.1186/1687-6180-2012-60⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1186/1687-6180-2012-60","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2012-60","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2012-60","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.800000011920929,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2121577640.pdf","grobid_xml":"https://content.openalex.org/works/W2121577640.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1534649456","https://openalex.org/W1576838924","https://openalex.org/W1969423031","https://openalex.org/W1986931325","https://openalex.org/W1993480174","https://openalex.org/W2063978378","https://openalex.org/W2075190209","https://openalex.org/W2078204800","https://openalex.org/W2098012923","https://openalex.org/W2101971386","https://openalex.org/W2103519107","https://openalex.org/W2105233799","https://openalex.org/W2117383935","https://openalex.org/W2122315118","https://openalex.org/W2123107972","https://openalex.org/W2126825922","https://openalex.org/W2128131274","https://openalex.org/W2128659236","https://openalex.org/W2129607944","https://openalex.org/W2132256814","https://openalex.org/W2134351045","https://openalex.org/W2135046866","https://openalex.org/W2136005975","https://openalex.org/W2142351022","https://openalex.org/W2142614231","https://openalex.org/W2143163931","https://openalex.org/W2147068866","https://openalex.org/W2148723353","https://openalex.org/W2149755721","https://openalex.org/W2151267926","https://openalex.org/W2151693816","https://openalex.org/W2163985581","https://openalex.org/W2165887549","https://openalex.org/W2534313802","https://openalex.org/W2621344506","https://openalex.org/W2737609499","https://openalex.org/W2998346542","https://openalex.org/W4300819821","https://openalex.org/W6702921147"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W1493245244","https://openalex.org/W66408621","https://openalex.org/W2493281735","https://openalex.org/W3012733398"],"abstract_inverted_index":{"We":[0,117],"address":[1],"the":[2,50,54,59,65,82,87,102,111,129,137,150,153],"problem":[3],"of":[4,53,70,86,152,155],"multidimensional":[5,115],"modal":[6,24,126,132],"estimation":[7,10,127,138],"using":[8],"sparse":[9,92,131],"techniques":[11],"coupled":[12],"with":[13,147],"an":[14],"efficient":[15],"multigrid":[16,60],"approach.":[17],"Modal":[18],"dictionaries":[19],"are":[20],"obtained":[21],"by":[22,91],"discretizing":[23],"functions":[25],"(damped":[26],"complex":[27],"exponentials).":[28],"To":[29],"get":[30],"a":[31,39,76],"good":[32,145],"resolution,":[33],"it":[34,105],"is":[35,98],"necessary":[36],"to":[37,49,63,108,124,149],"choose":[38],"fine":[40],"discretization":[41],"grid":[42,78],"resulting":[43],"in":[44,84,101,110],"intractable":[45],"computational":[46],"problems":[47],"due":[48],"huge":[51],"size":[52],"dictionaries.":[55],"The":[56,72,95],"idea":[57],"behind":[58],"approach":[61],"amounts":[62],"refine":[64],"dictionary":[66],"over":[67],"several":[68],"levels":[69],"resolution.":[71],"algorithm":[73],"starts":[74],"from":[75],"coarse":[77],"and":[79,143],"adaptively":[80],"improves":[81],"resolution":[83],"dependence":[85],"active":[88],"set":[89],"provided":[90],"approximation":[93],"methods.":[94],"proposed":[96,130],"method":[97,133],"quite":[99],"general":[100],"sense":[103],"that":[104],"allows":[106],"one":[107],"process":[109],"same":[112],"way":[113],"mono-and":[114],"signals.":[116],"show":[118],"through":[119],"simulations":[120],"that,":[121],"as":[122],"compared":[123],"high-resolution":[125],"methods,":[128],"can":[134],"greatly":[135],"enhance":[136],"accuracy":[139],"for":[140],"noisy":[141],"signals":[142],"shows":[144],"robustness":[146],"respect":[148],"choice":[151],"number":[154],"components.":[156]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}