{"id":"https://openalex.org/W2542064526","doi":"https://doi.org/10.1109/tmi.2017.2760921","title":"Exact Calculation of Noise Maps and ${g}$ -Factor in GRAPPA Using a ${k}$ -Space Analysis","display_name":"Exact Calculation of Noise Maps and ${g}$ -Factor in GRAPPA Using a ${k}$ -Space Analysis","publication_year":2017,"publication_date":"2017-10-09","ids":{"openalex":"https://openalex.org/W2542064526","doi":"https://doi.org/10.1109/tmi.2017.2760921","mag":"2542064526","pmid":"https://pubmed.ncbi.nlm.nih.gov/28991737"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2017.2760921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2017.2760921","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","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.07843","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045061519","display_name":"I\u00f1aki Rabanillo","orcid":null},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Inaki Rabanillo","raw_affiliation_strings":["Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5309-6446","affiliations":[{"raw_affiliation_string":"Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065517665","display_name":"Santiago Aja\u2010Fern\u00e1ndez","orcid":"https://orcid.org/0000-0002-5337-5071"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Santiago Aja-Fernandez","raw_affiliation_strings":["Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028623087","display_name":"Carlos Alberola\u2010L\u00f3pez","orcid":"https://orcid.org/0000-0003-3684-0055"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carlos Alberola-Lopez","raw_affiliation_strings":["Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3684-0055","affiliations":[{"raw_affiliation_string":"Image Processing Laboratory, ETSI Telecomunicaci\u00f3n, Universidad de Valladolid, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034978233","display_name":"Diego Hernando","orcid":"https://orcid.org/0000-0002-0016-0317"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Diego Hernando","raw_affiliation_strings":["Departments of Radiology and Medical Physics, University of Wisconsin, Madison, WI, USA"],"raw_orcid":"https://orcid.org/0000-0002-0016-0317","affiliations":[{"raw_affiliation_string":"Departments of Radiology and Medical Physics, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00438617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"2","first_page":"480","last_page":"490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9976000189781189,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9976000189781189,"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/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9861999750137329,"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/T10136","display_name":"Statistical Methods and Inference","score":0.96670001745224,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/undersampling","display_name":"Undersampling","score":0.9477705955505371},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6411819458007812},{"id":"https://openalex.org/keywords/imaging-phantom","display_name":"Imaging phantom","score":0.5520138144493103},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5155446529388428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5109943151473999},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4369451105594635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3348918855190277},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26280486583709717},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.17536285519599915},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16469809412956238},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10862475633621216},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09078282117843628}],"concepts":[{"id":"https://openalex.org/C136536468","wikidata":"https://www.wikidata.org/wiki/Q1225894","display_name":"Undersampling","level":2,"score":0.9477705955505371},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6411819458007812},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"score":0.5520138144493103},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5155446529388428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5109943151473999},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4369451105594635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3348918855190277},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26280486583709717},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.17536285519599915},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16469809412956238},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10862475633621216},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09078282117843628}],"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":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","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":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, 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":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012984","descriptor_name":"Software","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},{"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.2017.2760921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2017.2760921","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:28991737","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28991737","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:1610.07843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.07843","pdf_url":"https://arxiv.org/pdf/1610.07843","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"mag:2542064526","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1610.07843","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1610.07843","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1610.07843","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.07843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.07843","pdf_url":"https://arxiv.org/pdf/1610.07843","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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/G180249058","display_name":null,"funder_award_id":"TEC2013-44194-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6305030976","display_name":null,"funder_award_id":"BES-2014-069524","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G6614349258","display_name":null,"funder_award_id":"VA069U16","funder_id":"https://openalex.org/F4320328351","funder_display_name":"Junta de Castilla y Le\u00f3n"},{"id":"https://openalex.org/G6899364820","display_name":null,"funder_award_id":"TEC-2014-57428","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7108740289","display_name":null,"funder_award_id":"VA069U16","funder_id":"https://openalex.org/F4320325114","funder_display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n"},{"id":"https://openalex.org/G8321773231","display_name":null,"funder_award_id":"EEBB-I-16-10883","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320325114","display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"},{"id":"https://openalex.org/F4320328351","display_name":"Junta de Castilla y Le\u00f3n","ror":"https://ror.org/02s8dab97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2542064526.pdf","grobid_xml":"https://content.openalex.org/works/W2542064526.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1991696126","https://openalex.org/W2006330194","https://openalex.org/W2013816305","https://openalex.org/W2024873342","https://openalex.org/W2037095848","https://openalex.org/W2051351291","https://openalex.org/W2065330434","https://openalex.org/W2081520941","https://openalex.org/W2099801199","https://openalex.org/W2105672072","https://openalex.org/W2110580220","https://openalex.org/W2111388536","https://openalex.org/W2115769026","https://openalex.org/W2131890796","https://openalex.org/W2144536070","https://openalex.org/W2146541446","https://openalex.org/W2155369619","https://openalex.org/W2156220287","https://openalex.org/W2165170333","https://openalex.org/W2275404024","https://openalex.org/W4235806146","https://openalex.org/W4249760698","https://openalex.org/W6650807840"],"related_works":["https://openalex.org/W2963390701","https://openalex.org/W2791542930","https://openalex.org/W2349394492","https://openalex.org/W3098582815","https://openalex.org/W2943504011","https://openalex.org/W3005491754","https://openalex.org/W1138047914","https://openalex.org/W2532417078","https://openalex.org/W2592345555","https://openalex.org/W3106305553","https://openalex.org/W2552414984","https://openalex.org/W2904374699","https://openalex.org/W2105464217","https://openalex.org/W2600357063","https://openalex.org/W1502926899","https://openalex.org/W3034375137","https://openalex.org/W2094718548","https://openalex.org/W2766477323","https://openalex.org/W1952879046","https://openalex.org/W2746183607"],"abstract_inverted_index":{"Characterization":[0],"of":[1,26,96,143,146,164,175,206,217],"the":[2,24,34,43,63,67,82,92,97,104,121,131,141,165,173,182,187,191,204,214,218,234,260],"noise":[3,35,53,98,105,166,188,219,227,262],"distribution":[4,36,167,216],"in":[5,23,130,140,156,172,186,239],"magnetic":[6],"resonance":[7],"images":[8],"has":[9,85],"multiple":[10],"applications,":[11],"including":[12],"quality":[13],"assurance":[14],"and":[15,184,197,242,252,265],"protocol":[16],"optimization.":[17],"Noise":[18],"characterization":[19,163,263],"is":[20,47,194],"particularly":[21],"important":[22],"presence":[25,142,174],"parallel":[27,44,79,170],"imaging":[28,45,171],"acceleration":[29],"with":[30,247],"multi-coil":[31],"acquisitions,":[32],"where":[33],"can":[37,55,244],"contain":[38],"severe":[39],"spatial":[40],"heterogeneities.":[41],"If":[42],"reconstruction":[46,123,209],"a":[48,125,150,207],"linear":[49,127],"process,":[50,190],"an":[51,161],"accurate":[52,162],"analysis":[54,84],"be":[56,245],"carried":[57],"out":[58],"by":[59,119],"taking":[60],"into":[61],"account":[62],"correlations":[64],"between":[65],"all":[66],"samples":[68],"involved.":[69],"However,":[70,134],"for":[71,168,221],"-space-based":[72],"techniques":[73,270],"such":[74],"as":[75,124,275,277],"generalized":[76],"autocalibrating":[77],"partially":[78],"acquisition":[80],"(GRAPPA),":[81],"exact":[83,139],"been":[86],"considered":[87],"computationally":[88,195],"prohibitive":[89],"due":[90],"to":[91,102,109,233,268],"very":[93],"large":[94,201],"size":[95],"covariance":[99],"matrices":[100],"required":[101],"characterize":[103],"propagation":[106,189],"from":[107],"-space":[108,147],"image":[110,132,240],"space.":[111,133],"Previously":[112],"proposed":[113,192,261],"methods":[114,136],"avoid":[115],"this":[116,154,157,211,256],"computational":[117],"burden":[118],"formulating":[120],"GRAPPA":[122],"pixel-wise":[126],"operation":[128],"performed":[129],"these":[135],"are":[137,229],"not":[138,199],"non-uniform":[144],"sampling":[145,178],"(e.g.,":[148],"containing":[149],"calibration":[151],"region).":[152],"For":[153],"reason,":[155],"paper,":[158,257],"we":[159,258],"develop":[160],"self-calibrated":[169],"arbitrary":[176],"Cartesian":[177],"patterns.":[179],"By":[180],"exploiting":[181],"symmetries":[183],"separability":[185],"method":[193,212,264],"efficient":[196],"does":[198],"require":[200],"matrices.":[202],"Under":[203],"assumption":[205],"fixed":[208],"kernel,":[210],"provides":[213],"precise":[215],"variance":[220],"each":[222],"coil's":[223],"image.":[224],"These":[225],"coil-by-coil":[226],"maps":[228],"subsequently":[230],"combined":[231],"according":[232],"coil":[235,250],"combination":[236,251],"approach":[237],"used":[238],"reconstruction,":[241],"therefore":[243],"applied":[246],"both":[248],"complex":[249],"root-sum-of-squares":[253],"approaches.":[254],"In":[255],"present":[259],"compare":[266],"it":[267],"previous":[269],"using":[271],"Monte":[272],"Carlo":[273],"simulations":[274],"well":[276],"phantom":[278],"acquisitions.":[279]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
