{"id":"https://openalex.org/W2889378572","doi":"https://doi.org/10.1109/tmi.2018.2864197","title":"KerNL: Kernel-Based Nonlinear Approach to Parallel MRI Reconstruction","display_name":"KerNL: Kernel-Based Nonlinear Approach to Parallel MRI Reconstruction","publication_year":2018,"publication_date":"2018-08-07","ids":{"openalex":"https://openalex.org/W2889378572","doi":"https://doi.org/10.1109/tmi.2018.2864197","mag":"2889378572"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2018.2864197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2018.2864197","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"],"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/A5046260287","display_name":"Jingyuan Lyu","orcid":"https://orcid.org/0000-0002-1873-8869"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jingyuan Lyu","raw_affiliation_strings":["United Imaging Healthcare America, Houston, TX, USA"],"affiliations":[{"raw_affiliation_string":"United Imaging Healthcare America, Houston, TX, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011642304","display_name":"Ukash Nakarmi","orcid":"https://orcid.org/0000-0002-5351-3956"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ukash Nakarmi","raw_affiliation_strings":["Department of Biomedical Engineering and the Department of Electrical Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering and the Department of Electrical Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025474414","display_name":"Dong Liang","orcid":"https://orcid.org/0000-0001-6257-0875"},"institutions":[{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Liang","raw_affiliation_strings":["Shenzhen Key Laboratory for MRI, Paul C. Lauterbur Research Centre for Biomedical Imaging, Shenzhen Institutes of Advanced Technology, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory for MRI, Paul C. Lauterbur Research Centre for Biomedical Imaging, Shenzhen Institutes of Advanced Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210145761"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011777227","display_name":"Jinhua Sheng","orcid":"https://orcid.org/0000-0002-7662-9126"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhua Sheng","raw_affiliation_strings":["College of Computer Science, Hangzhou Dianzi University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]}]},{"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/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leslie Ying","raw_affiliation_strings":["Department of Biomedical Engineering and the Department of Electrical Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering and the Department of Electrical Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046260287"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4754,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.8979723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"38","issue":"1","first_page":"312","last_page":"321"},"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/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7586615085601807},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7298488020896912},{"id":"https://openalex.org/keywords/calibration","display_name":"Calibration","score":0.689540445804596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6010592579841614},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5955952405929565},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5455252528190613},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.46461379528045654},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.42441830039024353},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4217427670955658},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3457989990711212},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3344198167324066},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.22563564777374268},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.19044950604438782},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.14793992042541504},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1043379008769989},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.10418975353240967}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7586615085601807},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7298488020896912},{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.689540445804596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6010592579841614},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5955952405929565},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5455252528190613},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.46461379528045654},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.42441830039024353},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4217427670955658},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3457989990711212},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3344198167324066},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.22563564777374268},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.19044950604438782},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.14793992042541504},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1043379008769989},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.10418975353240967},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tmi.2018.2864197","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2018.2864197","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":"pmh:oai:europepmc.org:5891327","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6422679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2747145680","display_name":null,"funder_award_id":"CBET-1265612","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5377844428","display_name":null,"funder_award_id":"CCF-1514403","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8885300476","display_name":null,"funder_award_id":"R21EB020861","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W345520117","https://openalex.org/W1497904071","https://openalex.org/W1516726196","https://openalex.org/W1560724230","https://openalex.org/W1568892534","https://openalex.org/W1970003726","https://openalex.org/W1974528356","https://openalex.org/W1979954835","https://openalex.org/W1982985832","https://openalex.org/W1992989309","https://openalex.org/W2014977754","https://openalex.org/W2037653592","https://openalex.org/W2047544187","https://openalex.org/W2081349413","https://openalex.org/W2082580315","https://openalex.org/W2086903403","https://openalex.org/W2105199122","https://openalex.org/W2111388536","https://openalex.org/W2117700900","https://openalex.org/W2120584690","https://openalex.org/W2130320505","https://openalex.org/W2147336975","https://openalex.org/W2148433222","https://openalex.org/W2151354228","https://openalex.org/W2155369619","https://openalex.org/W2159122269","https://openalex.org/W2160820770","https://openalex.org/W2167233877","https://openalex.org/W2168887049","https://openalex.org/W2169670552","https://openalex.org/W2415926755","https://openalex.org/W2543794315","https://openalex.org/W4233764193","https://openalex.org/W4246884955","https://openalex.org/W4249760698","https://openalex.org/W6634048602","https://openalex.org/W6675464237","https://openalex.org/W6678068401"],"related_works":["https://openalex.org/W2089892314","https://openalex.org/W1603091392","https://openalex.org/W4386075310","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W2129978300","https://openalex.org/W2150638158","https://openalex.org/W2121506664"],"abstract_inverted_index":{"The":[0],"conventional":[1,42],"calibration-based":[2,43],"parallel":[3,61],"imaging":[4],"method":[5,105],"assumes":[6],"a":[7,51],"linear":[8,23,97],"relationship":[9,75,91],"between":[10,76],"the":[11,17,22,37,41,47,72,84,89,103],"acquired":[12,77],"multi-channel":[13],"k-space":[14,80],"data":[15,81],"and":[16,45,78,113],"unacquired":[18,79],"missing":[19],"data,":[20],"where":[21],"coefficients":[24],"are":[25,68],"estimated":[26],"using":[27],"some":[28],"auto-calibration":[29],"data.":[30],"In":[31,63],"this":[32,64],"paper,":[33],"we":[34],"first":[35],"analyze":[36],"model":[38],"errors":[39],"in":[40],"methods":[44],"demonstrate":[46,101],"nonlinear":[48,55,74,90],"relationship.":[49],"Then,":[50],"much":[52],"more":[53],"general":[54,73],"framework":[56],"is":[57,92],"proposed":[58,104],"for":[59],"auto-calibrated":[60],"imaging.":[62],"framework,":[65],"kernel":[66],"tricks":[67],"employed":[69],"to":[70,111],"represent":[71],"without":[82],"increasing":[83],"computational":[85],"complexity.":[86],"Identification":[87],"of":[88],"still":[93],"performed":[94],"by":[95],"solving":[96],"equations.":[98],"Experimental":[99],"results":[100],"that":[102],"can":[106],"achieve":[107],"reconstruction":[108],"quality":[109],"superior":[110],"GRAPPA":[112],"NL-GRAPPA":[114],"at":[115],"high":[116],"net":[117],"reduction":[118],"factors.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
