{"id":"https://openalex.org/W2964047315","doi":"https://doi.org/10.1109/icassp.2018.8461562","title":"Fps-Sft: A Multi-Dimensional Sparse Fourier Transform Based on the Fourier Projection-Slice Theorem","display_name":"Fps-Sft: A Multi-Dimensional Sparse Fourier Transform Based on the Fourier Projection-Slice Theorem","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2964047315","doi":"https://doi.org/10.1109/icassp.2018.8461562","mag":"2964047315"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2018.8461562","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8461562","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100767240","display_name":"Shaogang Wang","orcid":"https://orcid.org/0000-0003-1240-2296"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaogang Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004716468","display_name":"Vishal M. Patel","orcid":"https://orcid.org/0000-0002-5239-692X"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vishal M. Patel","raw_affiliation_strings":["Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004201783","display_name":"Athina P. Petropulu","orcid":"https://orcid.org/0000-0001-7380-7815"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Athina Petropulu","raw_affiliation_strings":["Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering Rutgers, The State University of New Jersey, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4729","last_page":"4733"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.6740068793296814},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6587474942207336},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6416326761245728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.591561496257782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4782361388206482},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.4521392583847046},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.4433257579803467},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.44159871339797974},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.43958523869514465},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.43080317974090576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3703190088272095},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.34944993257522583},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26221221685409546},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21265456080436707},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16562658548355103}],"concepts":[{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.6740068793296814},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6587474942207336},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6416326761245728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.591561496257782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4782361388206482},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.4521392583847046},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4433257579803467},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.44159871339797974},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.43958523869514465},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.43080317974090576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3703190088272095},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.34944993257522583},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26221221685409546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21265456080436707},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16562658548355103}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2018.8461562","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8461562","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-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/W787935690","https://openalex.org/W988000559","https://openalex.org/W1494749725","https://openalex.org/W1983695700","https://openalex.org/W2029816571","https://openalex.org/W2047932983","https://openalex.org/W2051929895","https://openalex.org/W2107625832","https://openalex.org/W2112094394","https://openalex.org/W2123591640","https://openalex.org/W2135780853","https://openalex.org/W2146509513","https://openalex.org/W2624857874","https://openalex.org/W2752855532","https://openalex.org/W6626017394","https://openalex.org/W6678296771","https://openalex.org/W6744214434"],"related_works":["https://openalex.org/W2118155316","https://openalex.org/W3141389362","https://openalex.org/W2382218334","https://openalex.org/W2154898175","https://openalex.org/W2116983948","https://openalex.org/W2945379152","https://openalex.org/W2090697566","https://openalex.org/W2057875231","https://openalex.org/W4239972770","https://openalex.org/W2777066715"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,26,75],"multidimensional":[3,27,49,58],"sparse":[4,86,108,124],"Fourier":[5,13,40],"transform":[6,41],"inspired":[7],"by":[8,33],"the":[9,12,52,64,70,83,88,92,116,119],"idea":[10],"of":[11,48,51,99,118],"projection-slice":[14],"theorem,":[15],"called":[16],"FPS-SFT.":[17],"FPS-SFT":[18,100,120],"extracts":[19],"samples":[20],"along":[21,43,72],"lines":[22,45,73,93],"(1-dimensional":[23],"slices":[24],"from":[25,69],"data":[28,53],"cube),":[29],"which":[30,114],"are":[31,61,94],"parameterized":[32],"random":[34],"slopes":[35],"and":[36,78,91,105],"offsets.":[37],"The":[38,57,97],"discrete":[39],"(DFT)":[42],"those":[44,55],"represents":[46],"projections":[47],"DFT":[50,71],"onto":[54],"lines.":[56],"frequencies":[59],"that":[60,82],"contained":[62],"in":[63,87,121],"signal":[65,84],"can":[66],"be":[67],"reconstructed":[68],"with":[74],"low":[76],"sample":[77],"computational":[79],"complexity":[80],"provided":[81],"is":[85,101,112],"frequency":[89],"domain":[90],"appropriately":[95],"designed.":[96],"performance":[98],"demonstrated":[102],"both":[103],"theoretically":[104],"numerically.":[106],"A":[107],"image":[109],"reconstruction":[110],"application":[111],"illustrated,":[113],"shows":[115],"capability":[117],"solving":[122],"less":[123],"scenarios":[125],"containing":[126],"non-uniformly":[127],"distributed":[128],"frequencies.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}