{"id":"https://openalex.org/W2163837007","doi":"https://doi.org/10.1109/tmi.2010.2088133","title":"Fast MR Image Reconstruction for Partially Parallel Imaging With Arbitrary $k$-Space Trajectories","display_name":"Fast MR Image Reconstruction for Partially Parallel Imaging With Arbitrary $k$-Space Trajectories","publication_year":2010,"publication_date":"2010-10-27","ids":{"openalex":"https://openalex.org/W2163837007","doi":"https://doi.org/10.1109/tmi.2010.2088133","mag":"2163837007","pmid":"https://pubmed.ncbi.nlm.nih.gov/21356608"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2010.2088133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2010.2088133","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"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 Medical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5102770164","display_name":"Xiaojing Ye","orcid":"https://orcid.org/0000-0002-0516-4974"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaojing Ye","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, FL 32611, USA. xye@ufl.edu","Department of Mathematics, University of Florida, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611, USA. xye@ufl.edu","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058530714","display_name":"Yunmei Chen","orcid":"https://orcid.org/0000-0002-4716-303X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunmei Chen","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111875391","display_name":"Wei Lin","orcid":"https://orcid.org/0009-0006-0995-8479"},"institutions":[{"id":"https://openalex.org/I4210131230","display_name":"Philips (United States)","ror":"https://ror.org/03kw6wr76","country_code":"US","type":"company","lineage":["https://openalex.org/I4210122849","https://openalex.org/I4210131230"]},{"id":"https://openalex.org/I4210157667","display_name":"IPS Research (United States)","ror":"https://ror.org/04q43a127","country_code":"US","type":"company","lineage":["https://openalex.org/I4210157667"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Lin","raw_affiliation_strings":["Advanced Concept Development, Philips HealthCare, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Concept Development, Philips HealthCare, Gainesville, FL, USA","institution_ids":["https://openalex.org/I4210157667","https://openalex.org/I4210131230"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012878245","display_name":"Feng Huang","orcid":"https://orcid.org/0000-0003-2813-3107"},"institutions":[{"id":"https://openalex.org/I4210131230","display_name":"Philips (United States)","ror":"https://ror.org/03kw6wr76","country_code":"US","type":"company","lineage":["https://openalex.org/I4210122849","https://openalex.org/I4210131230"]},{"id":"https://openalex.org/I4210157667","display_name":"IPS Research (United States)","ror":"https://ror.org/04q43a127","country_code":"US","type":"company","lineage":["https://openalex.org/I4210157667"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Feng Huang","raw_affiliation_strings":["Advanced Concept Development, Philips HealthCare, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Concept Development, Philips HealthCare, Gainesville, FL, USA","institution_ids":["https://openalex.org/I4210157667","https://openalex.org/I4210131230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8419,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.90048789,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"3","first_page":"575","last_page":"585"},"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.624120831489563},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.6141201257705688},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5853569507598877},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5783270001411438},{"id":"https://openalex.org/keywords/k-space","display_name":"k-space","score":0.542549192905426},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5398814678192139},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.5224379897117615},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.48091599345207214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4785207509994507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44457489252090454},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.41711729764938354},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40393075346946716},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21175125241279602},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.13217386603355408},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11431172490119934}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.624120831489563},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.6141201257705688},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5853569507598877},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5783270001411438},{"id":"https://openalex.org/C197413143","wikidata":"https://www.wikidata.org/wiki/Q1050490","display_name":"k-space","level":3,"score":0.542549192905426},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5398814678192139},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.5224379897117615},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.48091599345207214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4785207509994507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44457489252090454},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.41711729764938354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40393075346946716},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21175125241279602},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.13217386603355408},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11431172490119934}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tmi.2010.2088133","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2010.2088133","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"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 Medical Imaging","raw_type":"journal-article"},{"id":"pmid:21356608","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21356608","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on medical imaging","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W767420631","https://openalex.org/W772472362","https://openalex.org/W780051034","https://openalex.org/W1574923065","https://openalex.org/W1972406935","https://openalex.org/W1978333359","https://openalex.org/W1979418529","https://openalex.org/W1981787136","https://openalex.org/W1990831977","https://openalex.org/W1998252084","https://openalex.org/W1999584433","https://openalex.org/W2005089986","https://openalex.org/W2006262045","https://openalex.org/W2024982627","https://openalex.org/W2026799053","https://openalex.org/W2031356270","https://openalex.org/W2036238940","https://openalex.org/W2039325635","https://openalex.org/W2040262338","https://openalex.org/W2044823858","https://openalex.org/W2045079045","https://openalex.org/W2055632895","https://openalex.org/W2055673260","https://openalex.org/W2058532290","https://openalex.org/W2063285405","https://openalex.org/W2066397523","https://openalex.org/W2068518679","https://openalex.org/W2081349413","https://openalex.org/W2085306994","https://openalex.org/W2091719438","https://openalex.org/W2097542309","https://openalex.org/W2101675075","https://openalex.org/W2105265911","https://openalex.org/W2106600765","https://openalex.org/W2109418085","https://openalex.org/W2111388536","https://openalex.org/W2112910956","https://openalex.org/W2115741582","https://openalex.org/W2135370397","https://openalex.org/W2138075502","https://openalex.org/W2142058898","https://openalex.org/W2145020729","https://openalex.org/W2146482778","https://openalex.org/W2147336975","https://openalex.org/W2151354228","https://openalex.org/W2166994947","https://openalex.org/W2167233877","https://openalex.org/W2168933312","https://openalex.org/W2765202580","https://openalex.org/W2902866327","https://openalex.org/W2936995161","https://openalex.org/W4249760698","https://openalex.org/W4285719527","https://openalex.org/W6622319755","https://openalex.org/W6622535853","https://openalex.org/W6649953083","https://openalex.org/W6677033638"],"related_works":["https://openalex.org/W2588406281","https://openalex.org/W2495078643","https://openalex.org/W2344001031","https://openalex.org/W3010678772","https://openalex.org/W3209466624","https://openalex.org/W1605636162","https://openalex.org/W2053223715","https://openalex.org/W2612397051","https://openalex.org/W1490451209","https://openalex.org/W2586189899"],"abstract_inverted_index":{"Both":[0],"acquisition":[1],"and":[2,48,55,85,142],"reconstruction":[3,22,145],"speed":[4],"are":[5],"crucial":[6],"for":[7,24],"magnetic":[8],"resonance":[9],"(MR)":[10],"imaging":[11,30,130],"in":[12,26,117],"clinical":[13],"applications.":[14],"In":[15],"this":[16],"paper,":[17],"we":[18],"present":[19],"a":[20,39,104],"fast":[21],"algorithm":[23,119],"SENSE":[25,61],"partially":[27],"parallel":[28,129],"MR":[29],"with":[31,63,126],"arbitrary":[32],"k-space":[33],"trajectories.":[34],"The":[35],"proposed":[36,135],"method":[37,116,136],"is":[38,81,108],"combination":[40],"of":[41],"variable":[42],"splitting,":[43],"the":[44,49,56,60,82,100,111,123,134,139],"classical":[45],"penalty":[46,57],"technique":[47,58],"optimal":[50,112],"gradient":[51,115],"method.":[52],"Variable":[53],"splitting":[54],"reformulate":[59],"model":[62],"sparsity":[64],"regularization":[65],"as":[66],"an":[67],"unconstrained":[68],"minimization":[69],"problem,":[70],"which":[71,107],"can":[72,90],"be":[73,91],"solved":[74,93,109],"by":[75,94,110],"alternating":[76],"two":[77],"simple":[78],"minimizations:":[79],"One":[80],"total":[83],"variation":[84],"wavelet":[86],"based":[87],"denoising":[88],"that":[89,133],"quickly":[92],"several":[95,127],"recent":[96,128],"numerical":[97],"methods,":[98],"whereas":[99],"other":[101],"one":[102],"involves":[103],"linear":[105],"inversion":[106],"first":[113],"order":[114],"our":[118],"to":[120],"significantly":[121,137],"improve":[122],"performance.":[124],"Comparisons":[125],"algorithms":[131],"indicate":[132],"improves":[138],"computation":[140],"efficiency":[141],"achieves":[143],"state-of-the-art":[144],"quality.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
