{"id":"https://openalex.org/W2104262387","doi":"https://doi.org/10.1109/tsp.2010.2047666","title":"Uniform Discrete Curvelet Transform","display_name":"Uniform Discrete Curvelet Transform","publication_year":2010,"publication_date":"2010-04-07","ids":{"openalex":"https://openalex.org/W2104262387","doi":"https://doi.org/10.1109/tsp.2010.2047666","mag":"2104262387"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2047666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2047666","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5081826794","display_name":"Truong Thao Nguyen","orcid":"https://orcid.org/0000-0003-3641-374X"},"institutions":[{"id":"https://openalex.org/I4210093967","display_name":"Fugro (United Kingdom)","ror":"https://ror.org/00p77cm62","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210093967","https://openalex.org/I4210157192"]},{"id":"https://openalex.org/I4210164095","display_name":"Institute of Seismology","ror":"https://ror.org/05q86pe27","country_code":"KZ","type":"government","lineage":["https://openalex.org/I4210164095"]}],"countries":["GB","KZ"],"is_corresponding":false,"raw_author_name":"Truong T. Nguyen","raw_affiliation_strings":["Research and Development Department, Fugro Seismic Imaging, Swanley, UK","R&D Department, Fugro Seismic Imaging, Swanley, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Development Department, Fugro Seismic Imaging, Swanley, UK","institution_ids":["https://openalex.org/I4210164095"]},{"raw_affiliation_string":"R&D Department, Fugro Seismic Imaging, Swanley, UK#TAB#","institution_ids":["https://openalex.org/I4210093967"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004580808","display_name":"Herv\u00e9 Chauris","orcid":"https://orcid.org/0000-0001-6652-0381"},"institutions":[{"id":"https://openalex.org/I4210148040","display_name":"Centre de G\u00e9osciences","ror":"https://ror.org/03kc13263","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210148040","https://openalex.org/I70768539"]},{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Herv\u00e9 Chauris","raw_affiliation_strings":["Centre de G\u00e9osciences, Mines ParisTech UMR Sisyphe, Fontainebleau, France","Centre de Geosci., Mines ParisTech, Fontainebleau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de G\u00e9osciences, Mines ParisTech UMR Sisyphe, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539","https://openalex.org/I4210148040"]},{"raw_affiliation_string":"Centre de Geosci., Mines ParisTech, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1352,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.96873403,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"7","first_page":"3618","last_page":"3634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9926000237464905,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/curvelet","display_name":"Curvelet","score":0.7566551566123962},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.6009218096733093},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5158259272575378},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.4897191822528839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4862183630466461},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4597392976284027},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.4566149115562439},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.42531266808509827},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.38946399092674255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.381195068359375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3639199137687683},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.35597777366638184},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3406762480735779},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2619388699531555},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.25080883502960205},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24189504981040955},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.15777426958084106},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.1393345296382904}],"concepts":[{"id":"https://openalex.org/C131720326","wikidata":"https://www.wikidata.org/wiki/Q5196075","display_name":"Curvelet","level":4,"score":0.7566551566123962},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.6009218096733093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5158259272575378},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.4897191822528839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4862183630466461},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4597392976284027},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.4566149115562439},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.42531266808509827},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.38946399092674255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.381195068359375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3639199137687683},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.35597777366638184},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3406762480735779},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2619388699531555},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.25080883502960205},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24189504981040955},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.15777426958084106},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.1393345296382904}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2010.2047666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2047666","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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":38,"referenced_works":["https://openalex.org/W1481646516","https://openalex.org/W1485280399","https://openalex.org/W1491736154","https://openalex.org/W1999905919","https://openalex.org/W2001434029","https://openalex.org/W2002777061","https://openalex.org/W2010236565","https://openalex.org/W2018332268","https://openalex.org/W2033386799","https://openalex.org/W2033943996","https://openalex.org/W2060747019","https://openalex.org/W2069912449","https://openalex.org/W2096971955","https://openalex.org/W2097061348","https://openalex.org/W2100864161","https://openalex.org/W2106002835","https://openalex.org/W2107790757","https://openalex.org/W2108454251","https://openalex.org/W2113638462","https://openalex.org/W2113945798","https://openalex.org/W2115528090","https://openalex.org/W2115755118","https://openalex.org/W2115799737","https://openalex.org/W2117853853","https://openalex.org/W2119445186","https://openalex.org/W2122082750","https://openalex.org/W2129276048","https://openalex.org/W2132680427","https://openalex.org/W2133251749","https://openalex.org/W2135818149","https://openalex.org/W2152193740","https://openalex.org/W2158174178","https://openalex.org/W2161742990","https://openalex.org/W2166796177","https://openalex.org/W2167707660","https://openalex.org/W2168141504","https://openalex.org/W4231861085","https://openalex.org/W6678065128"],"related_works":["https://openalex.org/W1546716936","https://openalex.org/W2118155316","https://openalex.org/W3197029778","https://openalex.org/W2090697566","https://openalex.org/W2128992369","https://openalex.org/W2356259437","https://openalex.org/W1493093550","https://openalex.org/W2155549970","https://openalex.org/W1996519494","https://openalex.org/W2946453480"],"abstract_inverted_index":{"An":[0],"implementation":[1],"of":[2,22,40,59,74,107,117,143],"the":[3,19,25,65,72,75,99,104,118],"discrete":[4,31,67,125],"curvelet":[5,32,68,76],"transform":[6,13,62,69,91,126],"is":[7,14,63,120],"proposed":[8],"in":[9,98],"this":[10],"work.":[11],"The":[12,30,61,87,123],"based":[15],"on":[16,83],"and":[17,89,95,141],"has":[18,127],"same":[20],"order":[21],"complexity":[23],"as":[24,134],"Fast":[26],"Fourier":[27],"Transform":[28],"(FFT).":[29],"functions":[33,43,77],"are":[34,81,103],"defined":[35],"by":[36],"a":[37,57,84,93],"parameterized":[38],"family":[39],"smooth":[41],"windowed":[42],"that":[44,101],"satisfies":[45],"two":[46],"conditions:":[47],"i)":[48],"<i":[49,112],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[50,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2\u03c0</i>":[51],"periodic;":[52],"ii)":[53],"their":[54],"squares":[55],"form":[56,92],"partition":[58],"unity.":[60],"named":[64],"uniform":[66,85],"(UDCT)":[70],"because":[71],"centers":[73],"at":[78],"each":[79,108],"resolution":[80],"positioned":[82],"lattice.":[86],"forward":[88],"inverse":[90],"tight":[94],"self-dual":[96],"frame,":[97],"sense":[100],"they":[102],"exact":[105],"transpose":[106],"other.":[109],"Generalization":[110],"to":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</i>":[114],"dimensional":[115],"version":[116],"UDCT":[119],"also":[121],"presented.":[122],"novel":[124],"several":[128],"advantages":[129],"over":[130],"existing":[131],"transforms,":[132],"such":[133],"lower":[135],"redundancy":[136],"ratio,":[137],"hierarchical":[138],"data":[139],"structure":[140],"ease":[142],"implementation.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}