{"id":"https://openalex.org/W1979535937","doi":"https://doi.org/10.1002/scj.4690230306","title":"Reconstruction of magnetic resonance images by iterative methods","display_name":"Reconstruction of magnetic resonance images by iterative methods","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1979535937","doi":"https://doi.org/10.1002/scj.4690230306","mag":"1979535937"},"language":"en","primary_location":{"id":"doi:10.1002/scj.4690230306","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690230306","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","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/A5007799069","display_name":"Hiroyuki Kudo","orcid":"https://orcid.org/0000-0001-7256-6554"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroyuki Kudo","raw_affiliation_strings":["Faculty of Engineering, Tohoku University, Sendai, Japan 980","Hiroyuki Kudo:  graduated in 1985 from the Dept. Comm. Eng., Fac. Eng., Tohoku University, where he obtained a Dr. of Eng. degree in 1990 and became an Assistant. He is engaged in research on image processing and imaging of biological systems. He received the Paper Award in 1989 from I.E.I.C.E., Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Tohoku University, Sendai, Japan 980","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Hiroyuki Kudo:  graduated in 1985 from the Dept. Comm. Eng., Fac. Eng., Tohoku University, where he obtained a Dr. of Eng. degree in 1990 and became an Assistant. He is engaged in research on image processing and imaging of biological systems. He received the Paper Award in 1989 from I.E.I.C.E., Japan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103727927","display_name":"Tsuneo Saito","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsuneo Saito","raw_affiliation_strings":["Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba, Japan 305","Tsuneo Saito:  graduated in 1968 and became an Assistant. He is engaged in research on nonlinear circuits, digital signal processing, and image processing. Presently, he is a Professor at Tsukuba University"],"affiliations":[{"raw_affiliation_string":"Institute of Information Sciences and Electronics, University of Tsukuba, Tsukuba, Japan 305","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Tsuneo Saito:  graduated in 1968 and became an Assistant. He is engaged in research on nonlinear circuits, digital signal processing, and image processing. Presently, he is a Professor at Tsukuba University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007799069"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05489321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"3","first_page":"62","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI 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"}},"topics":[{"id":"https://openalex.org/T10378","display_name":"Advanced MRI 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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"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":0.996399998664856,"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/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.7110468149185181},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5598644614219666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5482320785522461},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4876760244369507},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46170881390571594},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.43790143728256226},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43044590950012207},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4242643117904663},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.38362282514572144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38284626603126526},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.343689501285553},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.340831995010376},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33663344383239746}],"concepts":[{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.7110468149185181},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5598644614219666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5482320785522461},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4876760244369507},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46170881390571594},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.43790143728256226},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43044590950012207},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4242643117904663},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.38362282514572144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38284626603126526},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.343689501285553},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.340831995010376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33663344383239746},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/scj.4690230306","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690230306","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1968836675","https://openalex.org/W1975943155","https://openalex.org/W2002472530","https://openalex.org/W2004100198","https://openalex.org/W2015740667","https://openalex.org/W2017139943","https://openalex.org/W2043018372","https://openalex.org/W2044823858","https://openalex.org/W2049821715","https://openalex.org/W2072618450","https://openalex.org/W2093857101","https://openalex.org/W2096564854","https://openalex.org/W2106505294","https://openalex.org/W2145415653","https://openalex.org/W2165307538","https://openalex.org/W3042062779"],"related_works":["https://openalex.org/W2357322570","https://openalex.org/W90581812","https://openalex.org/W2997591215","https://openalex.org/W2227541280","https://openalex.org/W2107386309","https://openalex.org/W2545869789","https://openalex.org/W2141090006","https://openalex.org/W2058165188","https://openalex.org/W1964555484","https://openalex.org/W2105149350"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"MRI":[2,62],"based":[3,82],"on":[4,83],"the":[5,10,16,41,51,54,69,84,87,91,94,117,121,128,138,148,151,157,160,163,177],"time\u2010varying":[6],"gradient":[7,35],"magnetic":[8],"field,":[9],"image":[11,42,63,171],"must":[12,43],"be":[13,44],"reconstructed":[14,45,55,139],"from":[15],"sampled":[17,125],"values":[18,126],"which":[19,146],"are":[20,120],"distributed":[21],"in":[22,72,167],"k":[23,168,179],"\u2010space":[24],"with":[25,68],"nonuniform":[26],"intervals.":[27],"If":[28],"there":[29],"exists":[30],"any":[31],"static":[32],"field":[33,36],"inhomogeneity,":[34],"nonlinearity,":[37],"or":[38],"patient":[39],"motion,":[40],"considering":[46],"these":[47],"effects,":[48],"thereby":[49],"preventing":[50],"deterioration":[52],"of":[53,79,124,127,150,162],"image.":[56,140],"This":[57],"paper":[58],"proposes":[59],"a":[60,73,142],"new":[61],"reconstruction":[64,80,111,172],"method":[65,78,112,143,154],"to":[66],"cope":[67],"forementioned":[70],"problems":[71],"unified":[74],"way.":[75],"The":[76,109,131],"proposed":[77,110,145],"is":[81,101,135,144,174],"principle":[85],"whereby":[86],"imaging":[88],"equation":[89],"representing":[90],"relation":[92],"between":[93],"spin":[95],"density":[96,161],"distribution":[97,166],"and":[98],"FID":[99,129],"signal":[100],"solved":[102],"directly":[103],"by":[104,155],"an":[105],"iterative":[106,152],"least\u2010squares":[107,153],"method.":[108],"strictly":[113],"considers":[114],"that":[115],"mathematically":[116],"measured":[118],"data":[119],"finite":[122],"number":[123],"signal.":[130],"minimum":[132],"norm":[133],"solution":[134],"obtained":[136],"as":[137],"Also,":[141],"improves":[147],"convergence":[149],"utilizing":[156],"information":[158],"concerning":[159],"sampling":[164],"point":[165],"\u2010space.":[169],"An":[170],"experiment":[173],"shown":[175],"assuming":[176],"spiral":[178],"\u2010trajectory.":[180]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}