{"id":"https://openalex.org/W2105359269","doi":"https://doi.org/10.1109/isbi.2008.4541174","title":"A variable projection approach to parallel magnetic resonance imaging","display_name":"A variable projection approach to parallel magnetic resonance imaging","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W2105359269","doi":"https://doi.org/10.1109/isbi.2008.4541174","mag":"2105359269"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2008.4541174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2008.4541174","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro","raw_type":"proceedings-article"},"type":"conference-paper","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/A5011777227","display_name":"Jinhua Sheng","orcid":"https://orcid.org/0000-0002-7662-9126"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinhua Sheng","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, WI, USA","Dept. of Electr. Eng. and Comput. Sci., Wisconsin Univ., Milwaukee, WI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Dept. of Electr. Eng. and Comput. Sci., Wisconsin Univ., Milwaukee, WI","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075561442","display_name":"Leslie Ying","orcid":"https://orcid.org/0000-0001-9801-1362"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leslie Ying","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, WI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"1027","last_page":"1030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10821","display_name":"Cardiovascular Function and Risk Factors","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6841747760772705},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6727068424224854},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.6714194416999817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.66035395860672},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5629558563232422},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5526934266090393},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5518508553504944},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5334164500236511},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5164563655853271},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5046330690383911},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5023224353790283},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.4485706388950348},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.2989234924316406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27136027812957764},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.23516464233398438},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.07813519239425659},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06889334321022034}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6841747760772705},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6727068424224854},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.6714194416999817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.66035395860672},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5629558563232422},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5526934266090393},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5518508553504944},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5334164500236511},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5164563655853271},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5046330690383911},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5023224353790283},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.4485706388950348},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.2989234924316406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27136027812957764},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.23516464233398438},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.07813519239425659},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06889334321022034},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isbi.2008.4541174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2008.4541174","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro","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":20,"referenced_works":["https://openalex.org/W1991732515","https://openalex.org/W1992989309","https://openalex.org/W1999584433","https://openalex.org/W2000516034","https://openalex.org/W2018089423","https://openalex.org/W2040763577","https://openalex.org/W2081889156","https://openalex.org/W2082580315","https://openalex.org/W2111388536","https://openalex.org/W2123346066","https://openalex.org/W2159122269","https://openalex.org/W2160820770","https://openalex.org/W2167233877","https://openalex.org/W2168887049","https://openalex.org/W2169670552","https://openalex.org/W3031689935","https://openalex.org/W4233764193","https://openalex.org/W4246884955","https://openalex.org/W4249570752","https://openalex.org/W4249760698"],"related_works":["https://openalex.org/W2393270639","https://openalex.org/W774881382","https://openalex.org/W2617963432","https://openalex.org/W2296570413","https://openalex.org/W2033390858","https://openalex.org/W2899022965","https://openalex.org/W2615976479","https://openalex.org/W3149161931","https://openalex.org/W2774026033","https://openalex.org/W2092701633"],"abstract_inverted_index":{"Accurate":[0],"estimation":[1,25],"of":[2,23,66,106,115],"channel":[3],"sensitivity":[4,24],"functions":[5],"is":[6,86,110],"still":[7],"a":[8,100,113],"challenging":[9],"problem":[10,56],"in":[11,116],"parallel":[12],"imaging.":[13],"JSENSE":[14],"has":[15,99],"recently":[16],"been":[17],"proposed":[18,108],"to":[19,43,79,88,91],"improve":[20],"the":[21,27,34,38,52,75,81,107],"accuracy":[22],"using":[26,112],"self":[28,67],"calibration":[29,68],"data.":[30,69,119],"It":[31],"regards":[32],"both":[33],"coil":[35],"sensitivities":[36],"and":[37,96],"desired":[39],"images":[40],"as":[41],"unknowns":[42],"be":[44,89],"solved":[45],"for":[46,51],"jointly.":[47],"The":[48,84,104],"existing":[49],"algorithm":[50],"underlying":[53],"nonlinear":[54],"optimization":[55],"requires":[57],"an":[58,93],"accurate":[59],"initial":[60],"value,":[61],"which":[62],"needs":[63],"considerable":[64],"number":[65],"In":[70],"this":[71],"paper,":[72],"we":[73],"use":[74],"variable":[76],"projection":[77],"method":[78,85,109],"find":[80],"optimal":[82,94],"solution.":[83],"known":[87],"able":[90],"give":[92],"solution,":[95],"our":[97],"implementation":[98],"linear":[101],"convergence":[102],"rate.":[103],"performance":[105],"evaluated":[111],"set":[114],"vivo":[117],"experiment":[118]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}