{"id":"https://openalex.org/W4412952416","doi":"https://doi.org/10.3390/sym17081242","title":"Two-Dimensional Reproducing Kernel-Based Interpolation Approximation for Best Regularization Parameter in Electrical Tomography Algorithm","display_name":"Two-Dimensional Reproducing Kernel-Based Interpolation Approximation for Best Regularization Parameter in Electrical Tomography Algorithm","publication_year":2025,"publication_date":"2025-08-05","ids":{"openalex":"https://openalex.org/W4412952416","doi":"https://doi.org/10.3390/sym17081242"},"language":"en","primary_location":{"id":"doi:10.3390/sym17081242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081242","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17081242","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071869434","display_name":"Fanpeng Dong","orcid":"https://orcid.org/0000-0002-0903-0500"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanpeng Dong","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018962276","display_name":"Shihong Yue","orcid":"https://orcid.org/0000-0003-3473-2704"},"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"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shihong Yue","raw_affiliation_strings":["School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China"],"raw_orcid":"https://orcid.org/0000-0003-3473-2704","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China","institution_ids":["https://openalex.org/I162868743"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018962276"],"corresponding_institution_ids":["https://openalex.org/I162868743"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15822516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"8","first_page":"1242","last_page":"1242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9998999834060669,"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":0.9998999834060669,"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/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"}},{"id":"https://openalex.org/T12169","display_name":"Non-Destructive Testing Techniques","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/regularization","display_name":"Regularization (linguistics)","score":0.673547625541687},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6611180305480957},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6046488285064697},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5180206894874573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4783898591995239},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.47343945503234863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3922283947467804},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.379647433757782},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21017411351203918},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15031713247299194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08305612206459045},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.05587363243103027}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.673547625541687},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6611180305480957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6046488285064697},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5180206894874573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4783898591995239},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.47343945503234863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3922283947467804},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.379647433757782},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21017411351203918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15031713247299194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08305612206459045},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.05587363243103027},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17081242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081242","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17081242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081242","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6288664033","display_name":null,"funder_award_id":"61973232","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W364436601","https://openalex.org/W1971569240","https://openalex.org/W1981025032","https://openalex.org/W1992317813","https://openalex.org/W2035364453","https://openalex.org/W2048512542","https://openalex.org/W2054732436","https://openalex.org/W2069968238","https://openalex.org/W2100192125","https://openalex.org/W2112430772","https://openalex.org/W2117706442","https://openalex.org/W2133743845","https://openalex.org/W2154999372","https://openalex.org/W2264065105","https://openalex.org/W2398886555","https://openalex.org/W2909146010","https://openalex.org/W2911413824","https://openalex.org/W3104776511","https://openalex.org/W3119621083","https://openalex.org/W3152401610","https://openalex.org/W3186270708","https://openalex.org/W3198632954","https://openalex.org/W4323338623","https://openalex.org/W4366247353","https://openalex.org/W4388258552","https://openalex.org/W4402622121","https://openalex.org/W4406894091","https://openalex.org/W4408280647","https://openalex.org/W4408519602","https://openalex.org/W4409107913","https://openalex.org/W4410352636","https://openalex.org/W6758522040","https://openalex.org/W6800422366","https://openalex.org/W6847814628"],"related_works":["https://openalex.org/W4254199101","https://openalex.org/W4300427796","https://openalex.org/W1996835655","https://openalex.org/W1670153145","https://openalex.org/W2551845725","https://openalex.org/W2045588195","https://openalex.org/W3093584180","https://openalex.org/W2051864124","https://openalex.org/W3023929447","https://openalex.org/W2021131614"],"abstract_inverted_index":{"The":[0,64,81],"regularization":[1,56,134,140],"parameter":[2,57],"plays":[3],"an":[4],"important":[5],"role":[6],"in":[7,86],"regularization-based":[8],"electrical":[9],"tomography":[10],"(ET)":[11],"algorithms,":[12],"but":[13],"the":[14,20,36,41,54,69,99,102,126,132,139,142,149],"existing":[15],"methods":[16,24],"generally":[17],"cannot":[18],"determine":[19],"parameter.":[21,38,135],"Moreover,":[22],"these":[23],"are":[25],"not":[26],"real-time":[27],"since":[28],"a":[29,43,59,87,91,118],"thorough":[30],"search":[31],"must":[32],"be":[33],"performed":[34],"for":[35],"best":[37,55,133],"To":[39],"address":[40],"issue,":[42],"reproducing":[44,93],"kernel-based":[45],"interpolation":[46],"approximation":[47],"method":[48,71,128,144],"is":[49,84,107],"proposed":[50],"to":[51],"efficiently":[52],"estimate":[53],"from":[58],"group":[60],"of":[61,68,101,120,154],"representative":[62],"samples.":[63],"optimization":[65],"and":[66,78,95,113,152],"generation":[67],"new":[70,127,143],"have":[72],"been":[73],"verified":[74],"by":[75],"theoretical":[76,82],"analysis":[77],"experimental":[79,105],"demonstration.":[80],"evaluation":[83],"conducted":[85],"Hilbert":[88],"space":[89],"with":[90,117],"known":[92],"kernel,":[94],"its":[96],"symmetry":[97],"ensures":[98],"uniqueness":[100],"interpolation.":[103],"And":[104],"validation":[106],"carried":[108],"out":[109],"using":[110,138],"both":[111,148],"simulated":[112],"actual":[114],"models,":[115],"each":[116],"range":[119],"distinct":[121],"features.":[122],"Results":[123],"indicate":[124],"that":[125],"can":[129,145],"approximately":[130],"find":[131],"Consequently,":[136],"when":[137],"parameter,":[141],"effectively":[146],"improve":[147],"spatial":[150],"resolution":[151],"steadiness":[153],"ET":[155],"imaging":[156],"process.":[157]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
