{"id":"https://openalex.org/W2296852140","doi":"https://doi.org/10.1109/tmi.2016.2623711","title":"The SPURS Algorithm for Resampling an Irregularly Sampled Signal onto a Cartesian Grid","display_name":"The SPURS Algorithm for Resampling an Irregularly Sampled Signal onto a Cartesian Grid","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W2296852140","doi":"https://doi.org/10.1109/tmi.2016.2623711","mag":"2296852140","pmid":"https://pubmed.ncbi.nlm.nih.gov/27831865"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2016.2623711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2016.2623711","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":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1603.04726","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060374894","display_name":"Amir Kiperwas","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Amir Kiperwas","raw_affiliation_strings":["Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering, Technion, Israel Institute of Technology.(email: amirki@campus.technion.ac.il)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering, Technion, Israel Institute of Technology.(email: amirki@campus.technion.ac.il)","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082469538","display_name":"Daniel Rosenfeld","orcid":"https://orcid.org/0000-0002-0784-7656"},"institutions":[{"id":"https://openalex.org/I16362100","display_name":"Rafael Advanced Defense Systems (Israel)","ror":"https://ror.org/016mey390","country_code":"IL","type":"company","lineage":["https://openalex.org/I16362100"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Daniel Rosenfeld","raw_affiliation_strings":["RAFAEL Advanced Defense Systems Ltd., Haifa, Israel","RAFAEL, Adv. Defense Syst. Ltd., Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"RAFAEL Advanced Defense Systems Ltd., Haifa, Israel","institution_ids":["https://openalex.org/I16362100"]},{"raw_affiliation_string":"RAFAEL, Adv. Defense Syst. Ltd., Haifa, Israel","institution_ids":["https://openalex.org/I16362100"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005913897","display_name":"Yonina C. Eldar","orcid":"https://orcid.org/0000-0003-4358-5304"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yonina C. Eldar","raw_affiliation_strings":["Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering, Israel Institute of Technology, Haifa, Israel#TAB#","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060374894"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.2847,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62533342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"36","issue":"2","first_page":"628","last_page":"640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/algorithm","display_name":"Algorithm","score":0.6813786029815674},{"id":"https://openalex.org/keywords/resampling","display_name":"Resampling","score":0.6392085552215576},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.6366110444068909},{"id":"https://openalex.org/keywords/regular-grid","display_name":"Regular grid","score":0.5624971389770508},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5075896978378296},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5000407695770264},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4917459785938263},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4903578758239746},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.48490744829177856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46771708130836487},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.45064952969551086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3976832330226898},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.30298709869384766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22629234194755554},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20477068424224854},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.13118323683738708}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6813786029815674},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.6392085552215576},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.6366110444068909},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.5624971389770508},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5075896978378296},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5000407695770264},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4917459785938263},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4903578758239746},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.48490744829177856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46771708130836487},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.45064952969551086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3976832330226898},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.30298709869384766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22629234194755554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20477068424224854},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.13118323683738708}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003199","descriptor_name":"Computer Systems","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003199","descriptor_name":"Computer Systems","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003199","descriptor_name":"Computer Systems","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1109/tmi.2016.2623711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2016.2623711","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:27831865","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/27831865","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:1603.04726","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.04726","pdf_url":"https://arxiv.org/pdf/1603.04726","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:2296852140","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1603.04726v2","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":"doi:10.48550/arxiv.1603.04726","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1603.04726","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:1603.04726","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1603.04726","pdf_url":"https://arxiv.org/pdf/1603.04726","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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2296852140.pdf","grobid_xml":"https://content.openalex.org/works/W2296852140.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W649866511","https://openalex.org/W1479895638","https://openalex.org/W1480101757","https://openalex.org/W1487218468","https://openalex.org/W1520511539","https://openalex.org/W1558817805","https://openalex.org/W1640351101","https://openalex.org/W1964391939","https://openalex.org/W1971571088","https://openalex.org/W1972829624","https://openalex.org/W1979606666","https://openalex.org/W1980792329","https://openalex.org/W1993065386","https://openalex.org/W1999562671","https://openalex.org/W2003410902","https://openalex.org/W2004421506","https://openalex.org/W2009511046","https://openalex.org/W2010122118","https://openalex.org/W2013180153","https://openalex.org/W2027349577","https://openalex.org/W2031356270","https://openalex.org/W2032059100","https://openalex.org/W2038213383","https://openalex.org/W2044495827","https://openalex.org/W2044823858","https://openalex.org/W2051395269","https://openalex.org/W2051693142","https://openalex.org/W2051917325","https://openalex.org/W2055576996","https://openalex.org/W2065628492","https://openalex.org/W2068518679","https://openalex.org/W2088160222","https://openalex.org/W2088188946","https://openalex.org/W2097463283","https://openalex.org/W2099944953","https://openalex.org/W2104191482","https://openalex.org/W2114548005","https://openalex.org/W2114592069","https://openalex.org/W2127537924","https://openalex.org/W2131768055","https://openalex.org/W2133665775","https://openalex.org/W2134700300","https://openalex.org/W2135730039","https://openalex.org/W2136390628","https://openalex.org/W2139717162","https://openalex.org/W2145020729","https://openalex.org/W2147799770","https://openalex.org/W2151354228","https://openalex.org/W2154219232","https://openalex.org/W2166500461","https://openalex.org/W2166904966","https://openalex.org/W2184811768","https://openalex.org/W2419637229","https://openalex.org/W2567032824","https://openalex.org/W6652830530"],"related_works":["https://openalex.org/W3209899436","https://openalex.org/W1979606666","https://openalex.org/W2186474477","https://openalex.org/W2138128312","https://openalex.org/W2124844495","https://openalex.org/W1975826938","https://openalex.org/W116775065","https://openalex.org/W2147591010","https://openalex.org/W2123944062","https://openalex.org/W2509176140","https://openalex.org/W2163682125","https://openalex.org/W2351711354","https://openalex.org/W1500909086","https://openalex.org/W2183799905","https://openalex.org/W2108505299","https://openalex.org/W1671092132","https://openalex.org/W2006707084","https://openalex.org/W3178665270","https://openalex.org/W2021514568","https://openalex.org/W2135248560"],"abstract_inverted_index":{"We":[0,175],"present":[1],"an":[2],"algorithm":[3],"for":[4],"resampling":[5],"a":[6,12,16,48,64,73,80,94,146,162,199,204],"function":[7],"from":[8,42,184],"its":[9],"values":[10,157],"on":[11,161],"non-Cartesian":[13,59],"grid":[14],"onto":[15,63,104,127],"Cartesian":[17,163],"grid.":[18,164],"This":[19,78,108],"problem":[20],"arises":[21],"in":[22,130],"many":[23],"applications":[24],"such":[25],"as":[26,211,213],"MRI,":[27],"CT,":[28],"radio":[29],"astronomy":[30],"and":[31,93,153,209],"geophysics.":[32],"Our":[33],"algorithm,":[34],"termed":[35],"SParse":[36],"Uniform":[37],"ReSampling":[38],"(SPURS),":[39],"employs":[40],"methods":[41,196],"modern":[43],"sampling":[44,207],"theory":[45],"to":[46,137,170,179],"achieve":[47],"small":[49],"approximation":[50],"error":[51],"while":[52,197],"maintaining":[53,198],"low":[54],"computational":[55,201],"cost.":[56],"The":[57,122,139,165],"given":[58],"samples":[60,92],"are":[61],"projected":[62,126],"selected":[65],"intermediate":[66],"subspace,":[67],"spanned":[68],"by":[69],"integer":[70],"translations":[71],"of":[72,83,96,101,111,158,181,206],"compactly":[74],"supported":[75],"kernel":[76],"function.":[77],"produces":[79,154],"sparse":[81,109,119],"system":[82,110],"equations":[84,112],"describing":[85],"the":[86,89,99,102,105,128,132,159,172],"relation":[87],"between":[88],"nonuniformly":[90,185],"spaced":[91,156,186],"vector":[95],"coefficients":[97],"representing":[98],"projection":[100,141],"signal":[103,134,160],"chosen":[106],"subspace.":[107],"can":[113,167],"be":[114,168],"solved":[115],"efficiently":[116,144],"using":[117,145],"available":[118],"equation":[120],"solvers.":[121],"result":[123],"is":[124,135,142],"then":[125,176],"subspace":[129],"which":[131],"sampled":[133],"known":[136],"reside.":[138],"second":[140],"implemented":[143],"digital":[147],"linear":[148],"shift":[149],"invariant":[150],"(LSI)":[151],"filter":[152],"uniformly":[155],"method":[166],"iterated":[169],"improve":[171],"reconstruction":[173,180,195],"results.":[174],"apply":[177],"SPURS":[178,192],"MRI":[182],"data":[183],"k-space":[187],"samples.":[188],"Simulations":[189],"demonstrate":[190],"that":[191],"outperforms":[193],"other":[194],"similar":[200],"complexity":[202],"over":[203],"range":[205],"densities":[208],"trajectories":[210],"well":[212],"various":[214],"input":[215],"SNR":[216],"levels.":[217]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
