{"id":"https://openalex.org/W2015528024","doi":"https://doi.org/10.1137/070696076","title":"Direct Elastic Imaging of a Small Inclusion","display_name":"Direct Elastic Imaging of a Small Inclusion","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2015528024","doi":"https://doi.org/10.1137/070696076","mag":"2015528024"},"language":"en","primary_location":{"id":"doi:10.1137/070696076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070696076","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5041497235","display_name":"Habib Ammari","orcid":"https://orcid.org/0000-0001-7278-4877"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Habib Ammari","raw_affiliation_strings":["habib.ammari@polytechnique.fr and iakov@cmapx.polytechnique.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"habib.ammari@polytechnique.fr and iakov@cmapx.polytechnique.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010231786","display_name":"Pierre Calmon","orcid":"https://orcid.org/0000-0002-5652-3500"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre Calmon","raw_affiliation_strings":["Pierre.CALMON@cea.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pierre.CALMON@cea.fr#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109035342","display_name":"\u0415\u043a\u0430\u0442\u0435\u0440\u0438\u043d\u0430 \u042f\u043a\u043e\u0432\u043b\u0435\u0432\u0430","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ekaterina Iakovleva","raw_affiliation_strings":["COMMISSARIAT \u00c0 L'\u00c9NERGIE ATOMIQUE ET AUX \u00c9NERGIES ALTERNATIVES"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COMMISSARIAT \u00c0 L'\u00c9NERGIE ATOMIQUE ET AUX \u00c9NERGIES ALTERNATIVES","institution_ids":["https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.5655,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.95973819,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"1","issue":"2","first_page":"169","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9988999962806702,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6505079865455627},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5708872079849243},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5134721398353577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5115838646888733},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.4821914732456207},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.46892765164375305},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4688989222049713},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41415727138519287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4003715515136719},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.38901782035827637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3728655278682709},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34085363149642944},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2620202302932739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15592408180236816},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.105324387550354}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6505079865455627},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5708872079849243},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5134721398353577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5115838646888733},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.4821914732456207},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.46892765164375305},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4688989222049713},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41415727138519287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4003715515136719},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.38901782035827637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3728655278682709},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34085363149642944},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2620202302932739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15592408180236816},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.105324387550354},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/070696076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070696076","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00654620v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-00654620","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2008, 1 (2), pp.169-187. ⟨10.1137/070696076⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W285051942","https://openalex.org/W1515927135","https://openalex.org/W1543038508","https://openalex.org/W1986178549","https://openalex.org/W1992920843","https://openalex.org/W2008633227","https://openalex.org/W2019394709","https://openalex.org/W2019770909","https://openalex.org/W2028718254","https://openalex.org/W2029339601","https://openalex.org/W2039623153","https://openalex.org/W2042577742","https://openalex.org/W2067988884","https://openalex.org/W2089340654","https://openalex.org/W2145748254","https://openalex.org/W2147358934","https://openalex.org/W2158507052","https://openalex.org/W2170183246","https://openalex.org/W3145801601"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W3185553570","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W2094012830","https://openalex.org/W187246281"],"abstract_inverted_index":{"In":[0],"this":[1,43],"paper":[2],"we":[3],"consider":[4],"the":[5,25,33,39,49,65],"problem":[6],"of":[7,16,32,42,51,55,76],"locating":[8],"a":[9,52,74],"small":[10],"three-dimensional":[11],"elastic":[12,17,34,66],"inclusion,":[13],"using":[14],"arrays":[15],"source":[18],"transmitters":[19],"and":[20,82],"receivers.":[21],"This":[22],"procedure":[23,72],"yields":[24],"multistatic":[26],"response":[27],"matrix":[28,44],"that":[29],"is":[30],"characteristic":[31],"inclusion.":[35,67],"We":[36,68],"show":[37],"how":[38],"eigenvalue":[40],"structure":[41],"can":[45],"be":[46],"employed":[47],"within":[48],"framework":[50],"noniterative":[53],"method":[54],"MUSIC":[56],"(multiple":[57],"signal":[58],"classification)":[59],"type":[60],"in":[61],"order":[62],"to":[63],"retrieve":[64],"illustrate":[69],"our":[70],"reconstruction":[71],"with":[73],"variety":[75],"computational":[77],"examples":[78],"from":[79],"synthetic,":[80],"noiseless,":[81],"severely":[83],"noisy":[84],"data.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}