{"id":"https://openalex.org/W4214933214","doi":"https://doi.org/10.1007/s10851-022-01069-z","title":"Topological Imaging Methods for the Iterative Detection of Multiple Impedance Obstacles","display_name":"Topological Imaging Methods for the Iterative Detection of Multiple Impedance Obstacles","publication_year":2022,"publication_date":"2022-03-01","ids":{"openalex":"https://openalex.org/W4214933214","doi":"https://doi.org/10.1007/s10851-022-01069-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-022-01069-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01069-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01069-z.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01069-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008695870","display_name":"Fr\u00e9d\u00e9rique Le Lou\u00ebr","orcid":"https://orcid.org/0000-0002-6392-4281"},"institutions":[{"id":"https://openalex.org/I102516824","display_name":"Universit\u00e9 de Technologie de Compi\u00e8gne","ror":"https://ror.org/04y5kwa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I102516824"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4405260806","display_name":"Laboratoire de math\u00e9matiques appliqu\u00e9es de Compi\u00e8gne","ror":"https://ror.org/049z3x013","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102516824","https://openalex.org/I4405260806"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"F. Le Lou\u00ebr","raw_affiliation_strings":["LMAC EA2222, Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Compi\u00e8gne, Sorbonne Universit\u00e9, Universit\u00e9 de Technologie de Compi\u00e8gne, 60203, Compi\u00e8gne Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAC EA2222, Laboratoire de Math\u00e9matiques Appliqu\u00e9es de Compi\u00e8gne, Sorbonne Universit\u00e9, Universit\u00e9 de Technologie de Compi\u00e8gne, 60203, Compi\u00e8gne Cedex, France","institution_ids":["https://openalex.org/I102516824","https://openalex.org/I39804081","https://openalex.org/I4210155549","https://openalex.org/I4405260806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050524181","display_name":"Mar\u00eda-Luisa Rap\u00fan","orcid":"https://orcid.org/0000-0001-5787-5252"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M.-L. Rap\u00fan","raw_affiliation_strings":["Dpto. Matem\u00e1tica Aplicada a la Ingenier\u00eda Aeroespacial, E.T.S.I. Aeron\u00e1utica y del Espacio, Universidad Polit\u00e9cnica de Madrid, 28040, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5787-5252","affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1tica Aplicada a la Ingenier\u00eda Aeroespacial, E.T.S.I. Aeron\u00e1utica y del Espacio, Universidad Polit\u00e9cnica de Madrid, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5050524181"],"corresponding_institution_ids":["https://openalex.org/I88060688"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":1.4827,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77705263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"3","first_page":"321","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11558","display_name":"Composite Material Mechanics","score":0.9878000020980835,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6106165051460266},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5936771631240845},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.575991690158844},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.47812286019325256},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4665128290653229},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.46296241879463196},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41407814621925354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36047279834747314},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32592272758483887},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18218427896499634},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14800786972045898},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10954797267913818},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09554722905158997}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6106165051460266},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5936771631240845},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.575991690158844},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.47812286019325256},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4665128290653229},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.46296241879463196},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41407814621925354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36047279834747314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32592272758483887},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18218427896499634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14800786972045898},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10954797267913818},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09554722905158997}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-022-01069-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01069-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01069-z.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:oa.upm.es:92645","is_oa":false,"landing_page_url":"https://oa.upm.es/92645/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402421","display_name":"Archivo Digital UPM (Universidad Polit\u00e9cnica de Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, ISSN 09249907, 2022-03-02, Vol. 64, No. 3","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10851-022-01069-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-022-01069-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-022-01069-z.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1414895091","display_name":null,"funder_award_id":"MTM2017-84446-C2-1-R","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G1703355525","display_name":null,"funder_award_id":"PID2020-114173RB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G191077724","display_name":null,"funder_award_id":"MTM2017-84446-C2-1-R","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G300979063","display_name":null,"funder_award_id":"10.13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G4788642032","display_name":null,"funder_award_id":"MTM2017-84446-C2-1-R","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G5080475149","display_name":null,"funder_award_id":"10.13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7317772368","display_name":null,"funder_award_id":"PID2020-114173RB-I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8430294048","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4214933214.pdf","grobid_xml":"https://content.openalex.org/works/W4214933214.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1517670975","https://openalex.org/W1523113578","https://openalex.org/W1970536458","https://openalex.org/W1972054485","https://openalex.org/W1977860124","https://openalex.org/W1981758330","https://openalex.org/W1982552629","https://openalex.org/W1995067704","https://openalex.org/W2000388899","https://openalex.org/W2013565263","https://openalex.org/W2020398049","https://openalex.org/W2032158911","https://openalex.org/W2043288410","https://openalex.org/W2043632013","https://openalex.org/W2054370406","https://openalex.org/W2057396386","https://openalex.org/W2059993298","https://openalex.org/W2061502567","https://openalex.org/W2062481980","https://openalex.org/W2065544645","https://openalex.org/W2078511988","https://openalex.org/W2078725045","https://openalex.org/W2082491848","https://openalex.org/W2091965015","https://openalex.org/W2094251381","https://openalex.org/W2101351750","https://openalex.org/W2104232537","https://openalex.org/W2153813106","https://openalex.org/W2157700312","https://openalex.org/W2169880671","https://openalex.org/W2210532472","https://openalex.org/W2478917285","https://openalex.org/W2507502634","https://openalex.org/W2527236307","https://openalex.org/W2570720734","https://openalex.org/W2606017747","https://openalex.org/W2745778491","https://openalex.org/W2788294506","https://openalex.org/W2898144548","https://openalex.org/W2922743572","https://openalex.org/W2924846246","https://openalex.org/W3033101334","https://openalex.org/W3099849131","https://openalex.org/W4206355536"],"related_works":["https://openalex.org/W2003635053","https://openalex.org/W2143578351","https://openalex.org/W2037293272","https://openalex.org/W2011911564","https://openalex.org/W2025910816","https://openalex.org/W2333819912","https://openalex.org/W2321824256","https://openalex.org/W1995284689","https://openalex.org/W1987272770","https://openalex.org/W2267946875"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"investigate":[5],"shape":[6,65],"inversion":[7],"algorithms":[8,102],"based":[9,107],"on":[10,61,108],"the":[11,18,39,43,62,69,80,88],"computation":[12,63],"of":[13,20,42,52,64,73,79,87],"iterated":[14],"topological":[15,40,70,109],"derivatives":[16,66],"for":[17,38],"detection":[19],"multiple":[21],"particles":[22,54],"coated":[23],"by":[24,68,93],"a":[25,74],"complex":[26],"surface":[27],"impedance":[28],"in":[29],"two-":[30],"and":[31,82,96],"three-dimensional":[32],"acoustic":[33],"media.":[34],"New":[35],"closed-form":[36],"formulae":[37],"derivative":[41],"misfit":[44],"functional":[45],"are":[46],"derived":[47],"when":[48],"an":[49],"approximate":[50],"set":[51],"unknown":[53],"has":[55],"already":[56],"been":[57],"recovered.":[58],"Proofs":[59],"rely":[60],"followed":[67],"asymptotic":[71],"analysis":[72],"boundary":[75],"integral":[76],"equation":[77],"formulation":[78],"forward":[81],"adjoint":[83],"problems.":[84],"The":[85],"relevance":[86],"theoretical":[89],"results":[90],"is":[91],"illustrated":[92],"various":[94],"2D":[95],"3D":[97],"experiments":[98],"using":[99],"monochromatic":[100],"imaging":[101],"either":[103],"fully":[104],"or":[105],"partially":[106],"derivatives.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}