{"id":"https://openalex.org/W2990570599","doi":"https://doi.org/10.1109/tmi.2019.2954121","title":"Accelerating Non-Cartesian MRI Reconstruction Convergence Using k-Space Preconditioning","display_name":"Accelerating Non-Cartesian MRI Reconstruction Convergence Using k-Space Preconditioning","publication_year":2019,"publication_date":"2019-11-19","ids":{"openalex":"https://openalex.org/W2990570599","doi":"https://doi.org/10.1109/tmi.2019.2954121","mag":"2990570599","pmid":"https://pubmed.ncbi.nlm.nih.gov/31751232"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2019.2954121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2019.2954121","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":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.09657","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034455133","display_name":"Frank Ong","orcid":"https://orcid.org/0000-0002-9789-8683"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Frank Ong","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070468573","display_name":"Martin Uecker","orcid":"https://orcid.org/0000-0002-8850-809X"},"institutions":[{"id":"https://openalex.org/I4210116730","display_name":"Universit\u00e4tsmedizin G\u00f6ttingen","ror":"https://ror.org/021ft0n22","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210116730"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Uecker","raw_affiliation_strings":["Department of Interventional and Diagnostic Radiology, University Medical Center Gottingen, G\u00f6ttingen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Interventional and Diagnostic Radiology, University Medical Center Gottingen, G\u00f6ttingen, Germany","institution_ids":["https://openalex.org/I4210116730"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082297273","display_name":"Michael Lustig","orcid":"https://orcid.org/0000-0002-4794-221X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Lustig","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034455133"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":1.8846,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.86080948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"39","issue":"5","first_page":"1646","last_page":"1654"},"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":0.9998000264167786,"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/T11885","display_name":"MRI in cancer diagnosis","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.6837321519851685},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5807231664657593},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5466041564941406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5277372598648071},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5188875794410706},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5118764638900757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5031761527061462},{"id":"https://openalex.org/keywords/k-space","display_name":"k-space","score":0.4596438407897949},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.4550337791442871},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4329308867454529},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.4246314764022827},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4191229045391083},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.41294509172439575},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3797745704650879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3586559593677521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2035955786705017},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.16318154335021973},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14866289496421814},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.13503703474998474},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.12405726313591003}],"concepts":[{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.6837321519851685},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5807231664657593},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5466041564941406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5277372598648071},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5188875794410706},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5118764638900757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5031761527061462},{"id":"https://openalex.org/C197413143","wikidata":"https://www.wikidata.org/wiki/Q1050490","display_name":"k-space","level":3,"score":0.4596438407897949},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.4550337791442871},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4329308867454529},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.4246314764022827},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4191229045391083},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.41294509172439575},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3797745704650879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3586559593677521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2035955786705017},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.16318154335021973},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14866289496421814},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.13503703474998474},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12405726313591003},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1109/tmi.2019.2954121","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2019.2954121","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:31751232","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31751232","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},{"id":"pmh:oai:arXiv.org:1902.09657","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09657","pdf_url":"https://arxiv.org/pdf/1902.09657","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/135697","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/135697","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pubmedcentral.nih.gov:7285911","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7285911","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Med Imaging","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.09657","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09657","pdf_url":"https://arxiv.org/pdf/1902.09657","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8133114273","display_name":null,"funder_award_id":"R01EB009690","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332457","display_name":"GE Healthcare","ror":"https://ror.org/03yt24h27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1922442141","https://openalex.org/W1925481226","https://openalex.org/W1964808148","https://openalex.org/W1971571088","https://openalex.org/W1989645410","https://openalex.org/W2002712188","https://openalex.org/W2020623316","https://openalex.org/W2044823858","https://openalex.org/W2047544187","https://openalex.org/W2048330954","https://openalex.org/W2066352158","https://openalex.org/W2080097309","https://openalex.org/W2091719438","https://openalex.org/W2092663520","https://openalex.org/W2100556411","https://openalex.org/W2101675075","https://openalex.org/W2105265911","https://openalex.org/W2105266774","https://openalex.org/W2116641010","https://openalex.org/W2117649283","https://openalex.org/W2135718700","https://openalex.org/W2135730039","https://openalex.org/W2142808775","https://openalex.org/W2146292423","https://openalex.org/W2151354228","https://openalex.org/W2158449358","https://openalex.org/W2164278908","https://openalex.org/W2167233877","https://openalex.org/W2400874854","https://openalex.org/W2625685405","https://openalex.org/W2761917492","https://openalex.org/W2762336051","https://openalex.org/W3105531926","https://openalex.org/W4249760698","https://openalex.org/W4292363360","https://openalex.org/W6675812492"],"related_works":["https://openalex.org/W2674186696","https://openalex.org/W2138031928","https://openalex.org/W2087332491","https://openalex.org/W3191591176","https://openalex.org/W2434806794","https://openalex.org/W1996797998","https://openalex.org/W3106540953","https://openalex.org/W1994141795","https://openalex.org/W2102909376","https://openalex.org/W2124528577"],"abstract_inverted_index":{"We":[0,91],"propose":[1],"a":[2],"k-space":[3,20,62],"preconditioning":[4,74],"formulation":[5,56],"for":[6],"accelerating":[7,85],"the":[8,50,54,67,72,101],"convergence":[9,86],"of":[10],"iterative":[11],"Magnetic":[12],"Resonance":[13],"Imaging":[14],"(MRI)":[15],"reconstructions":[16],"from":[17],"non-uniformly":[18],"sampled":[19],"data.":[21],"Existing":[22],"methods":[23],"either":[24],"use":[25],"sampling":[26],"density":[27],"compensations":[28],"which":[29,36],"sacrifice":[30],"reconstruction":[31,51],"accuracy,":[32],"or":[33],"circulant":[34],"preconditioners":[35],"increase":[37],"per-iteration":[38],"computation.":[39],"Our":[40],"approach":[41],"overcomes":[42],"both":[43],"shortcomings.":[44],"Concretely,":[45],"we":[46],"show":[47],"that":[48,100],"viewing":[49],"problem":[52],"in":[53,61,84,105,109],"dual":[55],"allows":[57],"us":[58],"to":[59,88],"precondition":[60],"using":[63],"density-compensation-like":[64],"operations.":[65],"Using":[66],"primal-dual":[68],"hybrid":[69],"gradient":[70],"method,":[71],"proposed":[73,102],"method":[75,103],"does":[76],"not":[77],"have":[78],"inner":[79],"loops":[80],"and":[81,96],"are":[82],"competitive":[83],"compared":[87],"existing":[89],"algorithms.":[90],"derive":[92],"l2":[93],"-optimized":[94],"preconditioners,":[95],"demonstrate":[97],"through":[98],"experiments":[99],"converges":[104],"about":[106],"ten":[107],"iterations":[108],"practice.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
