{"id":"https://openalex.org/W2888573099","doi":"https://doi.org/10.1137/18m120885x","title":"A Parallel Nonuniform Fast Fourier Transform Library Based on an \u201cExponential of Semicircle\" Kernel","display_name":"A Parallel Nonuniform Fast Fourier Transform Library Based on an \u201cExponential of Semicircle\" Kernel","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2888573099","doi":"https://doi.org/10.1137/18m120885x","mag":"2888573099"},"language":"en","primary_location":{"id":"doi:10.1137/18m120885x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m120885x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.06736","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111977840","display_name":"Alex H. Barnett","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alexander H. Barnett","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042248436","display_name":"Jeremy F. Magland","orcid":"https://orcid.org/0000-0002-5286-4375"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeremy Magland","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029110065","display_name":"Ludvig af Klinteberg","orcid":"https://orcid.org/0000-0001-7425-8029"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ludvig af Klinteberg","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111977840"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.707,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83722987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"41","issue":"5","first_page":"C479","last_page":"C504"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9969000220298767,"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":0.9969000220298767,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/precomputation","display_name":"Precomputation","score":0.7287371754646301},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5395241975784302},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5393507480621338},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.49807310104370117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4514528512954712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.437434583902359},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.37331897020339966},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3487330675125122},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2003767490386963}],"concepts":[{"id":"https://openalex.org/C159379195","wikidata":"https://www.wikidata.org/wiki/Q7239568","display_name":"Precomputation","level":3,"score":0.7287371754646301},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5395241975784302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5393507480621338},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.49807310104370117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4514528512954712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.437434583902359},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.37331897020339966},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3487330675125122},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2003767490386963},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m120885x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m120885x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.06736","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.06736","pdf_url":"https://arxiv.org/pdf/1808.06736","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":"mag:2888573099","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1808.06736","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:summit.sfu.ca:18924","is_oa":false,"landing_page_url":"http://summit.sfu.ca/item/18924","pdf_url":null,"source":{"id":"https://openalex.org/S4306400490","display_name":"Summit (Simon Fraser University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I18014758","host_organization_name":"Simon Fraser University","host_organization_lineage":["https://openalex.org/I18014758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1808.06736","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.06736","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.06736","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.06736","pdf_url":"https://arxiv.org/pdf/1808.06736","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":[],"funders":[{"id":"https://openalex.org/F4320319356","display_name":"Flatiron Health","ror":"https://ror.org/0508h6p74"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2888573099.pdf","grobid_xml":"https://content.openalex.org/works/W2888573099.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W18961980","https://openalex.org/W35533706","https://openalex.org/W580571344","https://openalex.org/W604181985","https://openalex.org/W1561562988","https://openalex.org/W1600301286","https://openalex.org/W1617956525","https://openalex.org/W1963792518","https://openalex.org/W1967173056","https://openalex.org/W1971571088","https://openalex.org/W1972649231","https://openalex.org/W1974945857","https://openalex.org/W1979261054","https://openalex.org/W1981562337","https://openalex.org/W1997096414","https://openalex.org/W1998152471","https://openalex.org/W2000406016","https://openalex.org/W2008150142","https://openalex.org/W2010122118","https://openalex.org/W2010639038","https://openalex.org/W2012300893","https://openalex.org/W2019602084","https://openalex.org/W2021189053","https://openalex.org/W2035013072","https://openalex.org/W2070011408","https://openalex.org/W2070679685","https://openalex.org/W2080664146","https://openalex.org/W2087772495","https://openalex.org/W2089988158","https://openalex.org/W2097463283","https://openalex.org/W2099944953","https://openalex.org/W2102079657","https://openalex.org/W2103672282","https://openalex.org/W2120855655","https://openalex.org/W2131768055","https://openalex.org/W2135718700","https://openalex.org/W2152968365","https://openalex.org/W2170120409","https://openalex.org/W2290498483","https://openalex.org/W2293599327","https://openalex.org/W2344682316","https://openalex.org/W2578554495","https://openalex.org/W2762133758","https://openalex.org/W2900979825","https://openalex.org/W2963099215","https://openalex.org/W2964248800"],"related_works":["https://openalex.org/W2973391561","https://openalex.org/W2886961304","https://openalex.org/W2744312558","https://openalex.org/W2951540685","https://openalex.org/W2231559638","https://openalex.org/W2919600450","https://openalex.org/W1485495086","https://openalex.org/W2339992901","https://openalex.org/W2298765659","https://openalex.org/W140333869","https://openalex.org/W2051916759","https://openalex.org/W2953318661","https://openalex.org/W3005457212","https://openalex.org/W3082427979","https://openalex.org/W3111277482","https://openalex.org/W1526878439","https://openalex.org/W3159511836","https://openalex.org/W2887442534","https://openalex.org/W2963557697","https://openalex.org/W2110873905"],"abstract_inverted_index":{"The":[0,105],"nonuniform":[1,82],"fast":[2],"Fourier":[3,110],"transform":[4,111],"(NUFFT)":[5],"generalizes":[6],"the":[7,21,78,85,109,113,132,136,144],"FFT":[8],"to":[9,38,43,49,73],"off-grid":[10],"data.":[11],"Its":[12],"many":[13],"applications":[14],"include":[15],"image":[16],"reconstruction,":[17],"data":[18],"analysis,":[19],"and":[20,68,84,125,157],"numerical":[22,120],"solution":[23],"of":[24,94,112,143],"differential":[25],"equations.":[26],"We":[27,76,147],"present":[28],"FINUFFT,":[29],"an":[30],"efficient":[31,119],"parallel":[32],"library":[33],"for":[34,115],"type":[35,40,46],"1":[36,124],"(nonuniform":[37,48],"uniform),":[39],"2":[41],"(uniform":[42],"nonuniform),":[44],"or":[45,56,65],"3":[47],"nonuniform)":[50],"transforms,":[51],"in":[52,98,131,161],"dimensions":[53,163],"1,":[54],"2,":[55,126],"3.":[57],"It":[58],"uses":[59],"minimal":[60],"RAM,":[61],"requires":[62,108],"no":[63],"precomputation":[64],"plan":[66],"steps,":[67],"has":[69],"a":[70,89,100],"simple":[71,90],"interface":[72],"several":[74,150],"languages.":[75],"perform":[77],"expensive":[79],"spreading/interpolation":[80],"between":[81],"points":[83],"fine":[86],"grid":[87],"via":[88],"new":[91],"kernel---the":[92],"\u201cexponential":[93],"semicircle\u201d":[95],"$e^{\\beta":[96],"\\sqrt{1-x^2}}$":[97],"$x\\in[-1,1]$---in":[99],"cache-aware":[101],"load-balanced":[102],"multithreaded":[103],"implementation.":[104],"deconvolution":[106],"step":[107],"kernel,":[114],"which":[116],"we":[117],"propose":[118],"quadrature.":[121],"For":[122],"types":[123],"rigorous":[127],"error":[128],"bounds":[129],"asymptotic":[130],"kernel":[133],"width":[134],"approach":[135],"fastest":[137],"known":[138],"exponential":[139],"rate,":[140],"namely":[141],"that":[142],"Kaiser--Bessel":[145],"kernel.":[146],"benchmark":[148],"against":[149],"popular":[151],"CPU-based":[152],"libraries,":[153],"showing":[154],"favorable":[155],"speed":[156],"memory":[158],"footprint,":[159],"especially":[160],"three":[162],"when":[164],"high":[165],"accuracy":[166],"and/or":[167],"clustered":[168],"point":[169],"distributions":[170],"are":[171],"desired.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
