{"id":"https://openalex.org/W2167472669","doi":"https://doi.org/10.1109/tim.2009.2021645","title":"Helmholtz-Type Regularization Method for Permittivity Reconstruction Using Experimental Phantom Data of Electrical Capacitance Tomography","display_name":"Helmholtz-Type Regularization Method for Permittivity Reconstruction Using Experimental Phantom Data of Electrical Capacitance Tomography","publication_year":2009,"publication_date":"2009-08-11","ids":{"openalex":"https://openalex.org/W2167472669","doi":"https://doi.org/10.1109/tim.2009.2021645","mag":"2167472669"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2009.2021645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2021645","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://purehost.bath.ac.uk/ws/files/308833/soleimani-59-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085895836","display_name":"Manuchehr Soleimani","orcid":"https://orcid.org/0000-0002-6341-9592"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Soleimani","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University of Bath, Bath, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University of Bath, Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068561041","display_name":"Phaneendra K. Yalavarthy","orcid":"https://orcid.org/0000-0003-4810-352X"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.K. Yalavarthy","raw_affiliation_strings":["Department of Radiation Oncology, School of Medicine, Washington University, Saint Louis, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiation Oncology, School of Medicine, Washington University, Saint Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022307495","display_name":"Hamid Dehghani","orcid":"https://orcid.org/0000-0003-4117-0412"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"H. Dehghani","raw_affiliation_strings":["School of Physics, University of Exeter, Exeter, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, University of Exeter, Exeter, UK","institution_ids":["https://openalex.org/I23923803"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7024,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.90672189,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"59","issue":"1","first_page":"78","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12537","display_name":"Flow Measurement and Analysis","score":0.9839000105857849,"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/T11700","display_name":"Hemodynamic Monitoring and Therapy","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.9237058758735657},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.7418506741523743},{"id":"https://openalex.org/keywords/electrical-capacitance-tomography","display_name":"Electrical capacitance tomography","score":0.6692144870758057},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6590606570243835},{"id":"https://openalex.org/keywords/imaging-phantom","display_name":"Imaging phantom","score":0.6557483673095703},{"id":"https://openalex.org/keywords/permittivity","display_name":"Permittivity","score":0.6269647479057312},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5824089050292969},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5264464020729065},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5024588108062744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47488516569137573},{"id":"https://openalex.org/keywords/capacitance","display_name":"Capacitance","score":0.4392378032207489},{"id":"https://openalex.org/keywords/electrical-impedance-tomography","display_name":"Electrical impedance tomography","score":0.43666380643844604},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3549233078956604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3358646035194397},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.31427741050720215},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26846861839294434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23001554608345032},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.17769518494606018},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14360108971595764},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.13610756397247314}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.9237058758735657},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7418506741523743},{"id":"https://openalex.org/C2777418626","wikidata":"https://www.wikidata.org/wiki/Q2584887","display_name":"Electrical capacitance tomography","level":4,"score":0.6692144870758057},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6590606570243835},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"score":0.6557483673095703},{"id":"https://openalex.org/C168651791","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Permittivity","level":3,"score":0.6269647479057312},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5824089050292969},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5264464020729065},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5024588108062744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47488516569137573},{"id":"https://openalex.org/C30066665","wikidata":"https://www.wikidata.org/wiki/Q164399","display_name":"Capacitance","level":3,"score":0.4392378032207489},{"id":"https://openalex.org/C155175808","wikidata":"https://www.wikidata.org/wiki/Q1326472","display_name":"Electrical impedance tomography","level":3,"score":0.43666380643844604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3549233078956604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3358646035194397},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.31427741050720215},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26846861839294434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23001554608345032},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.17769518494606018},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14360108971595764},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13610756397247314},{"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/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tim.2009.2021645","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2009.2021645","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire_cris_publications/9af55cbc-61ce-421a-bada-485d427979d4","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/9af55cbc-61ce-421a-bada-485d427979d4","pdf_url":"https://purehost.bath.ac.uk/ws/files/308833/soleimani-59-1.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Soleimani, M, Yalavarthy, P & Dehghani, H 2010, 'Helmholtz-type regularization method for permittivity reconstruction using experimental phantom data of ECT', IEEE Transactions on Instrumentation and Measurement, vol. 59, no. 1, pp. 78-83. https://doi.org/10.1109/TIM.2009.2021645","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/0b926b82-770c-4e64-866c-190398ba743d","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/0b926b82-770c-4e64-866c-190398ba743d","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Soleimani, M, Yalavarthy, PK & Dehghani, H 2010, 'Helmholtz-Type Regularization Method for Permittivity Reconstruction Using Experimental Phantom Data of Electrical Capacitance Tomography', IEEE Transactions on Instrumentation and Measurement, vol. 59, no. 1, pp. 78-83. https://doi.org/10.1109/TIM.2009.2021645","raw_type":"article"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/9af55cbc-61ce-421a-bada-485d427979d4","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=72349092056&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:purehost.bath.ac.uk:openaire_cris_publications/9af55cbc-61ce-421a-bada-485d427979d4","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/9af55cbc-61ce-421a-bada-485d427979d4","pdf_url":"https://purehost.bath.ac.uk/ws/files/308833/soleimani-59-1.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Soleimani, M, Yalavarthy, P & Dehghani, H 2010, 'Helmholtz-type regularization method for permittivity reconstruction using experimental phantom data of ECT', IEEE Transactions on Instrumentation and Measurement, vol. 59, no. 1, pp. 78-83. https://doi.org/10.1109/TIM.2009.2021645","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2167472669.pdf","grobid_xml":"https://content.openalex.org/works/W2167472669.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1594234351","https://openalex.org/W1978679709","https://openalex.org/W1989489564","https://openalex.org/W2000241688","https://openalex.org/W2012219282","https://openalex.org/W2016052416","https://openalex.org/W2049772201","https://openalex.org/W2051760592","https://openalex.org/W2053837082","https://openalex.org/W2057039669","https://openalex.org/W2060021325","https://openalex.org/W2061243531","https://openalex.org/W2070738097","https://openalex.org/W2076395091","https://openalex.org/W2088751297","https://openalex.org/W2105711496","https://openalex.org/W2111478506","https://openalex.org/W2112890043","https://openalex.org/W2114424556","https://openalex.org/W2131742412","https://openalex.org/W2494228641","https://openalex.org/W2589085185","https://openalex.org/W4234954550","https://openalex.org/W6733753632"],"related_works":["https://openalex.org/W2104646267","https://openalex.org/W2114581257","https://openalex.org/W2383812056","https://openalex.org/W2054657344","https://openalex.org/W2065950826","https://openalex.org/W2383790513","https://openalex.org/W2357861116","https://openalex.org/W1575026956","https://openalex.org/W118650182","https://openalex.org/W2167472669"],"abstract_inverted_index":{"Electrical":[0],"capacitance":[1,17],"tomography":[2],"(ECT)":[3],"attempts":[4],"to":[5,41,75,103],"image":[6],"the":[7,15,65,80,85,105,112,134,137,145,150,161],"permittivity":[8,55,114,165],"distribution":[9],"of":[10,20,48,126,136,152,160],"an":[11],"object":[12],"by":[13],"measuring":[14],"electrical":[16],"between":[18],"sets":[19],"electrodes":[21],"placed":[22],"around":[23],"its":[24],"periphery.":[25],"Image":[26],"reconstruction":[27,47],"in":[28,62,70,149,167],"ECT":[29,168],"is":[30,57],"a":[31,58,89,120],"nonlinear":[32],"ill-posed":[33],"inverse":[34,44,106],"problem,":[35],"and":[36,53,64,111,123],"regularization":[37,68,83,86,98,118,139,148],"methods":[38,69],"are":[39,73],"needed":[40],"stabilize":[42],"this":[43,156],"problem.":[45],"The":[46,116,128],"complex":[49],"shapes":[50],"(sharp":[51],"edges)":[52],"absolute":[54,113,163],"values":[56],"more":[59],"difficult":[60],"task":[61],"ECT,":[63],"commonly":[66],"used":[67],"Tikhonov":[71,82,153],"minimization":[72],"unable":[74],"solve":[76,104],"these":[77],"problems.":[78],"In":[79],"standard":[81],"method,":[84],"matrix":[87],"has":[88,100,119],"Laplacian-type":[90,147],"structure,":[91],"which":[92],"encourages":[93,124],"smoothing":[94],"reconstruction.":[95],"A":[96],"Helmholtz-type":[97,117,138],"scheme":[99],"been":[101],"implemented":[102],"problem":[107],"with":[108],"complicated-shape":[109],"objects":[110],"values.":[115],"wavelike":[121],"property":[122],"variations":[125],"permittivity.":[127],"results":[129],"from":[130],"experimental":[131,170],"data":[132],"demonstrate":[133],"advantage":[135],"for":[140],"recovering":[141],"sharp":[142],"edges":[143],"over":[144],"popular":[146],"framework":[151],"minimization.":[154],"Furthermore,":[155],"paper":[157],"presents":[158],"examples":[159],"reconstructed":[162],"value":[164],"map":[166],"using":[169],"phantom":[171],"data.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}