{"id":"https://openalex.org/W2127982721","doi":"https://doi.org/10.1109/icassp.2005.1415447","title":"A Deformable-radius B-Spline Method for Shape-based Inverse Problems, as Applied to Electrical Impedance Tomography","display_name":"A Deformable-radius B-Spline Method for Shape-based Inverse Problems, as Applied to Electrical Impedance Tomography","publication_year":2006,"publication_date":"2006-10-11","ids":{"openalex":"https://openalex.org/W2127982721","doi":"https://doi.org/10.1109/icassp.2005.1415447","mag":"2127982721"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2005.1415447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2005.1415447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005.","raw_type":"proceedings-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/A5046489727","display_name":"Saeed Babaeizadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Babaeizadeh","raw_affiliation_strings":["Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079980080","display_name":"Dana H. Brooks","orcid":"https://orcid.org/0000-0003-3231-6715"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.H. Brooks","raw_affiliation_strings":["Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017322317","display_name":"David Isaacson","orcid":null},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Isaacson","raw_affiliation_strings":["Rensselaer Polytechnic Institute, Troy, NY, USA","Rensselaer Polytechnic Institute Troy, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Rensselaer Polytechnic Institute Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9172,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86505296,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"485","last_page":"488"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9969000220298767,"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/T12537","display_name":"Flow Measurement and Analysis","score":0.9948999881744385,"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/electrical-impedance-tomography","display_name":"Electrical impedance tomography","score":0.8299990892410278},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.7037715911865234},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6439397931098938},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5831136107444763},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.5694650411605835},{"id":"https://openalex.org/keywords/torso","display_name":"Torso","score":0.5360605716705322},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.524594247341156},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5173625349998474},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.505652904510498},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4956454038619995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4867808520793915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46746543049812317},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.45385369658470154},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.44758927822113037},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"Shape optimization","score":0.4455293118953705},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.41427090764045715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33999666571617126},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2647324204444885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16607502102851868}],"concepts":[{"id":"https://openalex.org/C155175808","wikidata":"https://www.wikidata.org/wiki/Q1326472","display_name":"Electrical impedance tomography","level":3,"score":0.8299990892410278},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7037715911865234},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6439397931098938},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5831136107444763},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5694650411605835},{"id":"https://openalex.org/C523889960","wikidata":"https://www.wikidata.org/wiki/Q160695","display_name":"Torso","level":2,"score":0.5360605716705322},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.524594247341156},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5173625349998474},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.505652904510498},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4956454038619995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4867808520793915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46746543049812317},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.45385369658470154},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.44758927822113037},{"id":"https://openalex.org/C29513896","wikidata":"https://www.wikidata.org/wiki/Q7489239","display_name":"Shape optimization","level":3,"score":0.4455293118953705},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.41427090764045715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33999666571617126},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2647324204444885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16607502102851868},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2005.1415447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2005.1415447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1969808883","https://openalex.org/W1971508657","https://openalex.org/W2005681075","https://openalex.org/W2007652488","https://openalex.org/W2017029788","https://openalex.org/W2071467620","https://openalex.org/W2076072906","https://openalex.org/W2113026370","https://openalex.org/W2121677764","https://openalex.org/W2164676763","https://openalex.org/W2171074980","https://openalex.org/W2183812326"],"related_works":["https://openalex.org/W4381953457","https://openalex.org/W2037557144","https://openalex.org/W2285739514","https://openalex.org/W2058088690","https://openalex.org/W2086597735","https://openalex.org/W2052143774","https://openalex.org/W1984495143","https://openalex.org/W4308297792","https://openalex.org/W2158185825","https://openalex.org/W1607811686"],"abstract_inverted_index":{"Shape-based":[0],"solutions":[1],"have":[2],"recently":[3],"received":[4],"attention":[5],"for":[6,43,61,115],"certain":[7],"ill-posed":[8,45],"inverse":[9,63],"problems":[10,64],"when":[11],"the":[12,37,56,75,79,101,104,116],"relevant":[13,32],"constituent":[14],"parameters":[15],"can":[16],"be":[17],"modeled":[18],"as":[19],"isotropic":[20],"and":[21,34,55,65,91,95,113,119],"piecewise":[22,83],"continuous":[23],"or":[24],"homogeneous.":[25],"Their":[26],"advantages":[27],"include":[28],"implicit":[29],"imposition":[30],"of":[31,39,82,103,123],"constraints":[33],"reduction":[35],"in":[36,74,130],"number":[38],"unknowns,":[40],"especially":[41],"important":[42],"non-linear":[44],"problems.":[46],"We":[47,77,99],"introduce":[48],"a":[49,131],"method,":[50],"based":[51],"on":[52],"modified":[53],"B-splines":[54],"boundary":[57],"element":[58],"method":[59,125],"(BEM),":[60],"shape-based":[62],"apply":[66],"it":[67],"to":[68],"current-injection":[69],"electrical":[70],"impedance":[71],"tomography":[72],"(EIT)":[73],"torso.":[76],"assume":[78],"general":[80],"shape":[81,96,111],"constant":[84],"inhomogeneities":[85,106],"is":[86,126],"known":[87],"but":[88],"their":[89,92],"conductivities":[90],"exact":[93],"location":[94],"are":[97],"not.":[98],"model":[100],"boundaries":[102],"unknown":[105],"using":[107],"bivariate":[108],"spline":[109],"basis":[110],"functions":[112],"solve":[114],"conductivities,":[117],"locations,":[118],"boundaries.":[120],"The":[121],"performance":[122],"our":[124],"illustrated":[127],"via":[128],"simulation":[129],"realistic":[132],"torso":[133],"model.":[134]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}