{"id":"https://openalex.org/W2068957851","doi":"https://doi.org/10.1145/1268769.1268770","title":"An accurate nonuniform fourier transform for SPRITE magnetic resonance imaging data","display_name":"An accurate nonuniform fourier transform for SPRITE magnetic resonance imaging data","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W2068957851","doi":"https://doi.org/10.1145/1268769.1268770","mag":"2068957851"},"language":"en","primary_location":{"id":"doi:10.1145/1268769.1268770","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1268769.1268770","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","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/A5049769077","display_name":"James Rioux","orcid":"https://orcid.org/0000-0002-2432-9842"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J. Rioux","raw_affiliation_strings":["University of New Brunswick, Halifax NS, Canada","University of New Brunswick, Halifax NS, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Halifax NS, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick, Halifax NS, Canada#TAB#","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045749028","display_name":"Meghan E. Halse","orcid":"https://orcid.org/0000-0002-3605-5551"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Halse","raw_affiliation_strings":["University of New Brunswick, Fredericton NB, Canada","University of New Brunswick, Fredericton, NB, CANADA"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Fredericton NB, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick, Fredericton, NB, CANADA","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001299200","display_name":"Eric Aubanel","orcid":"https://orcid.org/0000-0003-1273-4741"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"E. Aubanel","raw_affiliation_strings":["University of New Brunswick, Fredericton NB, Canada","University of New Brunswick, Fredericton, NB, CANADA"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Fredericton NB, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick, Fredericton, NB, CANADA","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082216116","display_name":"Bruce J. Balcom","orcid":"https://orcid.org/0000-0002-6074-1623"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. J. Balcom","raw_affiliation_strings":["University of New Brunswick, Fredericton NB, Canada","University of New Brunswick, Fredericton, NB, CANADA"],"affiliations":[{"raw_affiliation_string":"University of New Brunswick, Fredericton NB, Canada","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"University of New Brunswick, Fredericton, NB, CANADA","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037202313","display_name":"J. Kaffanke","orcid":null},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Kaffanke","raw_affiliation_strings":["MR Group, IME Forschungzentrum Juelich, Juelcig, Germany"],"affiliations":[{"raw_affiliation_string":"MR Group, IME Forschungzentrum Juelich, Juelcig, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033594539","display_name":"Sandro Romanzetti","orcid":"https://orcid.org/0000-0001-8519-1309"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Romanzetti","raw_affiliation_strings":["MR Group, IME Forschungzentrum Juelich, Juelcig, Germany"],"affiliations":[{"raw_affiliation_string":"MR Group, IME Forschungzentrum Juelich, Juelcig, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033688585","display_name":"Thomas Dierkes","orcid":null},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"T. Dierkes","raw_affiliation_strings":["MR Group, IME Forschungzentrum Juelich Juelcig, Germany","MR Group, IME Forschungzentrum Juelich, Juelcig, Germany"],"affiliations":[{"raw_affiliation_string":"MR Group, IME Forschungzentrum Juelich Juelcig, Germany","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"MR Group, IME Forschungzentrum Juelich, Juelcig, Germany","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071643772","display_name":"N. Jon Shah","orcid":"https://orcid.org/0000-0002-8151-6169"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"N. J. Shah","raw_affiliation_strings":["MR Group, IME Forschungzentrum Juelich, Juelcig, Germany"],"affiliations":[{"raw_affiliation_string":"MR Group, IME Forschungzentrum Juelich, Juelcig, Germany","institution_ids":["https://openalex.org/I171892758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5049769077"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":null,"apc_paid":null,"fwci":0.472,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70305677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"33","issue":"3","first_page":"16","last_page":"16"},"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/T12603","display_name":"NMR spectroscopy and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6392483711242676},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6314480304718018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5423714518547058},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5089452266693115},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4961265027523041},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4422876238822937},{"id":"https://openalex.org/keywords/k-space","display_name":"k-space","score":0.43563610315322876},{"id":"https://openalex.org/keywords/phase-correlation","display_name":"Phase correlation","score":0.4348362684249878},{"id":"https://openalex.org/keywords/sprite","display_name":"Sprite (computer graphics)","score":0.4117175340652466},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.32600152492523193},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.31644973158836365},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.29799598455429077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24672135710716248},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14804607629776},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10477197170257568}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6392483711242676},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6314480304718018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5423714518547058},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5089452266693115},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4961265027523041},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4422876238822937},{"id":"https://openalex.org/C197413143","wikidata":"https://www.wikidata.org/wiki/Q1050490","display_name":"k-space","level":3,"score":0.43563610315322876},{"id":"https://openalex.org/C93509452","wikidata":"https://www.wikidata.org/wiki/Q7180943","display_name":"Phase correlation","level":5,"score":0.4348362684249878},{"id":"https://openalex.org/C37064505","wikidata":"https://www.wikidata.org/wiki/Q1333015","display_name":"Sprite (computer graphics)","level":2,"score":0.4117175340652466},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.32600152492523193},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.31644973158836365},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.29799598455429077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24672135710716248},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14804607629776},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10477197170257568}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1268769.1268770","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1268769.1268770","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1965156666","https://openalex.org/W1971571088","https://openalex.org/W1982012694","https://openalex.org/W1999343668","https://openalex.org/W2003016848","https://openalex.org/W2010122118","https://openalex.org/W2022028092","https://openalex.org/W2038213383","https://openalex.org/W2052213438","https://openalex.org/W2055534899","https://openalex.org/W2056434031","https://openalex.org/W2061171222","https://openalex.org/W2074285547","https://openalex.org/W2103030298","https://openalex.org/W2105265911","https://openalex.org/W2132696508","https://openalex.org/W2152968365"],"related_works":["https://openalex.org/W2095636570","https://openalex.org/W1544289506","https://openalex.org/W2033702064","https://openalex.org/W4295678671","https://openalex.org/W2064595346","https://openalex.org/W4321641272","https://openalex.org/W4353087411","https://openalex.org/W2374649290","https://openalex.org/W2073363564","https://openalex.org/W2095877570"],"abstract_inverted_index":{"A":[0],"new":[1],"algorithm":[2,57,81],"is":[3],"proposed":[4],"for":[5],"computing":[6],"the":[7,27,71,83,108],"discrete":[8],"Fourier":[9,52],"Transform":[10],"(DFT)":[11],"of":[12,58,73,97,103],"purely":[13],"phase":[14,67],"encoded":[15],"data":[16,42,75],"acquired":[17],"during":[18],"Magnetic":[19],"Resonance":[20],"Imaging":[21,32],"(MRI)":[22],"experiments.":[23],"These":[24],"experiments":[25],"use":[26],"SPRITE":[28],"(Single":[29],"Point":[30],"Ramped":[31],"with":[33,66],"T":[34],"1":[35],"Enhancement)":[36],"method":[37],"and":[38,61,100],"multiple-point":[39],"acquisition,":[40],"sampling":[41],"in":[43,95,101],"a":[44],"nonuniform":[45,92],"manner":[46],"that":[47,86],"prohibits":[48],"reconstruction":[49],"by":[50],"fast":[51],"transform.":[53],"The":[54],"chirp":[55],"z-transform":[56],"Rabiner,":[59],"Schafer,":[60],"Rader":[62],"can":[63],"be":[64],"combined":[65],"corrections":[68],"to":[69,76,90,107],"compute":[70],"DFT":[72],"this":[74],"extremely":[77],"high":[78],"accuracy.":[79],"This":[80],"outperforms":[82],"interpolation":[84],"methods":[85],"are":[87],"traditionally":[88],"used":[89],"process":[91],"data,":[93],"both":[94],"terms":[96,102],"execution":[98],"time":[99],"accuracy":[104],"as":[105],"compared":[106],"DFT.":[109]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}