{"id":"https://openalex.org/W2836448562","doi":"https://doi.org/10.1109/tim.2019.2956359","title":"ECT Image Reconstruction Based on Alternating Direction Approximate Newton Algorithm","display_name":"ECT Image Reconstruction Based on Alternating Direction Approximate Newton Algorithm","publication_year":2019,"publication_date":"2019-11-27","ids":{"openalex":"https://openalex.org/W2836448562","doi":"https://doi.org/10.1109/tim.2019.2956359","mag":"2836448562"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2019.2956359","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2019.2956359","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100406987","display_name":"Chao Wang","orcid":"https://orcid.org/0000-0002-4362-947X"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chao Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-4362-947X","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101836475","display_name":"Qi Guo","orcid":"https://orcid.org/0000-0002-3607-4808"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Guo","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-3607-4808","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060150695","display_name":"Huaxiang Wang","orcid":"https://orcid.org/0000-0003-1584-6925"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaxiang Wang","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-1584-6925","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084651271","display_name":"Ziqiang Cui","orcid":"https://orcid.org/0000-0003-0498-9955"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqiang Cui","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-0498-9955","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013096735","display_name":"Ruifeng Bai","orcid":"https://orcid.org/0000-0002-5044-4852"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruifeng Bai","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-5044-4852","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102874092","display_name":"Min Ma","orcid":"https://orcid.org/0000-0002-1415-6108"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]},{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Ma","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin, China","School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-1415-6108","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]},{"raw_affiliation_string":"School of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100406987"],"corresponding_institution_ids":["https://openalex.org/I162868743","https://openalex.org/I28813325"],"apc_list":null,"apc_paid":null,"fwci":1.3317,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.80583356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"69","issue":"7","first_page":"4873","last_page":"4886"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9993000030517578,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9958000183105469,"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/newtons-method","display_name":"Newton's method","score":0.640521228313446},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.6059955358505249},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5870043039321899},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.5795338153839111},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5758922100067139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5301571488380432},{"id":"https://openalex.org/keywords/underdetermined-system","display_name":"Underdetermined system","score":0.5006847381591797},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.48268842697143555},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4693388044834137},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3442808985710144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27583402395248413},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.21913915872573853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20999115705490112},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17757022380828857},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10594454407691956}],"concepts":[{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.640521228313446},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.6059955358505249},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5870043039321899},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.5795338153839111},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5758922100067139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5301571488380432},{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.5006847381591797},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.48268842697143555},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4693388044834137},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3442808985710144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27583402395248413},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.21913915872573853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20999115705490112},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17757022380828857},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10594454407691956},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tim.2019.2956359","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2019.2956359","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G342545340","display_name":null,"funder_award_id":"61627803","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8861091588","display_name":null,"funder_award_id":"61671319","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8987114686","display_name":null,"funder_award_id":"19JCYBJC18600","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323993","display_name":"Natural Science Foundation of Tianjin City","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W577184202","https://openalex.org/W1530695493","https://openalex.org/W1969811075","https://openalex.org/W1985588167","https://openalex.org/W1996287810","https://openalex.org/W1997127241","https://openalex.org/W2000241688","https://openalex.org/W2005089986","https://openalex.org/W2016910236","https://openalex.org/W2035414577","https://openalex.org/W2041488433","https://openalex.org/W2042476838","https://openalex.org/W2049328938","https://openalex.org/W2050479680","https://openalex.org/W2058532290","https://openalex.org/W2076605490","https://openalex.org/W2079558799","https://openalex.org/W2087160109","https://openalex.org/W2118075667","https://openalex.org/W2123031198","https://openalex.org/W2133170491","https://openalex.org/W2151536879","https://openalex.org/W2258823796","https://openalex.org/W2292454309","https://openalex.org/W2414858152","https://openalex.org/W2530307286","https://openalex.org/W2594152062","https://openalex.org/W2737550119","https://openalex.org/W2777672498","https://openalex.org/W2778332848","https://openalex.org/W2920441833","https://openalex.org/W3106359998","https://openalex.org/W4249667877","https://openalex.org/W4255797415","https://openalex.org/W6746718540"],"related_works":["https://openalex.org/W2044296933","https://openalex.org/W2983297293","https://openalex.org/W4388964614","https://openalex.org/W2972343833","https://openalex.org/W2996136316","https://openalex.org/W2970432723","https://openalex.org/W1560140409","https://openalex.org/W2889643804","https://openalex.org/W2463007134","https://openalex.org/W114133465"],"abstract_inverted_index":{"To":[0],"solve":[1,85],"the":[2,6,13,17,39,49,57,86,91,96,100,111,123,131,147,157,168,189,194,200],"underdetermined":[3],"problem":[4],"and":[5,10,90,95,117,174,184],"mismatches":[7],"of":[8,12,43,99,107,110,128,133,144,156,160,197],"position":[9],"size":[11],"objects":[14],"caused":[15],"by":[16,77,146,167],"ill-posed":[18],"sensitivity":[19],"matrix":[20],"in":[21,68,72,130],"electrical":[22],"capacitance":[23],"tomography":[24],"(ECT)":[25],"image":[26],"reconstruction,":[27],"an":[28],"alternating":[29,40],"direction":[30,41],"approximate":[31],"newton":[32],"(ADAN)":[33],"method":[34,42],"is":[35,75,82,137,140,162,199],"developed.":[36],"Based":[37],"on":[38],"multipliers":[44],"(ADMMs),":[45],"this":[46],"algorithm":[47,54,101],"utilizes":[48],"Bregman":[50],"operator":[51],"splitting":[52],"(BOS)":[53],"to":[55,65,84],"segment":[56],"total":[58],"variation":[59],"(TV)":[60],"regularization":[61,119],"model.":[62],"An":[63],"approximation":[64],"Newton's":[66,73],"method,":[67],"which":[69,139,177],"a":[70,78],"term":[71],"hessian":[74],"replaced":[76],"Barzilai-Borwein":[79],"(BB)":[80],"approximation,":[81],"used":[83],"subproblems":[87],"after":[88],"segmentation,":[89],"complete":[92],"convergence":[93],"proof":[94],"stability":[97],"analysis":[98,106],"are":[102,178],"provided.":[103],"The":[104,151],"quantitative":[105],"reconstruction":[108,132],"results":[109],"ADAN,":[112],"Landweber,":[113,115,173],"modified":[114,172],"Newton,":[116,171],"${l}_{1}$":[118,169],"methods":[120],"shows":[121],"that":[122,143,165],"average":[124,152],"relative":[125],"error":[126],"(RE)":[127],"ADAN":[129,161,198],"ten":[134],"flow":[135],"images":[136,159],"0.2199,":[138],"lower":[141],"than":[142,164],"reconstructed":[145,158,166],"other":[148],"four":[149],"algorithms.":[150],"correlation":[153],"coefficient":[154],"(CC)":[155],"higher":[163],"regularization,":[170],"Landweber":[175],"methods,":[176],"0.8539,":[179],"0.6792,":[180],"0.6251,":[181],"0.6545,":[182],"0.6665,":[183],"0.6614,":[185],"separately.":[186],"Moreover,":[187],"under":[188],"same":[190],"iteration":[191,195],"stopping":[192],"condition,":[193],"time":[196],"shortest.":[201]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}