{"id":"https://openalex.org/W1971056102","doi":"https://doi.org/10.1109/tsp.2013.2292033","title":"Sampling Curves With Finite Rate of Innovation","display_name":"Sampling Curves With Finite Rate of Innovation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1971056102","doi":"https://doi.org/10.1109/tsp.2013.2292033","mag":"1971056102"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2013.2292033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2292033","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":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/190631","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071082236","display_name":"Hanjie Pan","orcid":"https://orcid.org/0000-0003-0805-7696"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Hanjie Pan","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, School of Computer and Communication Sciences, Lausanne, Switzerland","Sch. of Comput. & Commun. Sci., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, School of Computer and Communication Sciences, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Sch. of Comput. & Commun. Sci., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017511611","display_name":"Thierry Blu","orcid":"https://orcid.org/0000-0001-5759-0011"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Thierry Blu","raw_affiliation_strings":["Department of Electronic Engineering, Chinese University of Hong Kong, Shatin, N.T., Hong Kong","Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Chinese University of Hong Kong, Shatin, N.T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Chinese Univ. of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053203917","display_name":"Pier Luigi Dragotti","orcid":"https://orcid.org/0000-0002-6073-2807"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Pier Luigi Dragotti","raw_affiliation_strings":["Imperial College London, Department of Electrical and Electronic Engineering, London, United Kingdom","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, Department of Electrical and Electronic Engineering, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071082236"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":7.56,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.97953933,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"62","issue":"2","first_page":"458","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9995999932289124,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962000250816345,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9937999844551086,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.5767370462417603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.567750096321106},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5161246061325073},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4976253807544708},{"id":"https://openalex.org/keywords/annihilation","display_name":"Annihilation","score":0.4905089735984802},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4783337116241455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4699687361717224},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4403848946094513},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4265819191932678},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41394349932670593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39262813329696655},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3666836619377136},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.30629581212997437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3017326593399048},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.242356538772583},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.14904171228408813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11608120799064636}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5767370462417603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.567750096321106},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5161246061325073},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4976253807544708},{"id":"https://openalex.org/C201941533","wikidata":"https://www.wikidata.org/wiki/Q188721","display_name":"Annihilation","level":2,"score":0.4905089735984802},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4783337116241455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4699687361717224},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4403848946094513},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4265819191932678},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41394349932670593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39262813329696655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3666836619377136},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.30629581212997437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3017326593399048},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.242356538772583},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.14904171228408813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11608120799064636},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tsp.2013.2292033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2013.2292033","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"},{"id":"pmh:oai:infoscience.epfl.ch:190631","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/190631","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:190631","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/97152","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/13882","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/13882","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"471","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:190631","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/190631","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6600000262260437}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1514558801","https://openalex.org/W1597732836","https://openalex.org/W1791560514","https://openalex.org/W1988441354","https://openalex.org/W1995875735","https://openalex.org/W2004421506","https://openalex.org/W2005089986","https://openalex.org/W2088254198","https://openalex.org/W2089957712","https://openalex.org/W2097883065","https://openalex.org/W2099267803","https://openalex.org/W2103300762","https://openalex.org/W2103559027","https://openalex.org/W2105483458","https://openalex.org/W2113885710","https://openalex.org/W2117787067","https://openalex.org/W2118203826","https://openalex.org/W2118682956","https://openalex.org/W2121058967","https://openalex.org/W2125782250","https://openalex.org/W2135367316","https://openalex.org/W2135631911","https://openalex.org/W2149213383","https://openalex.org/W2155231285","https://openalex.org/W2158537680","https://openalex.org/W2161516371","https://openalex.org/W2162443378","https://openalex.org/W2163889321","https://openalex.org/W2166500461","https://openalex.org/W2170015373","https://openalex.org/W3143430103"],"related_works":["https://openalex.org/W2048739912","https://openalex.org/W1574025127","https://openalex.org/W2314570365","https://openalex.org/W2312482966","https://openalex.org/W2090716935","https://openalex.org/W1965264176","https://openalex.org/W2003538196","https://openalex.org/W2040753241","https://openalex.org/W2032034873","https://openalex.org/W1629821064"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"extend":[4],"the":[5,28,35,69,91,94,99,104,109,126,131,157,180,183],"theory":[6],"of":[7,13,20,30,46,50,58,79,93,156,175,182],"sampling":[8],"signals":[9],"with":[10,120,122,160,167],"finite":[11,48,56],"rate":[12,57],"innovation":[14,59],"(FRI)":[15],"to":[16,75,89,97,118],"a":[17,31,39,43,47,77],"specific":[18],"class":[19],"two-dimensional":[21],"curves,":[22],"which":[23,65],"are":[24,115,133],"defined":[25],"implicitly":[26],"as":[27,42,171,173],"zeros":[29],"mask":[32,36],"function.":[33],"Here":[34],"function":[37],"has":[38,55],"parametric":[40,71],"representation":[41],"weighted":[44],"summation":[45],"number":[49],"complex":[51],"exponentials,":[52],"and":[53,190],"therefore,":[54],".":[60],"An":[61],"associated":[62],"edge":[63,101],"image,":[64],"is":[66,73,87],"discontinuous":[67],"on":[68,108],"predefined":[70],"curve,":[72],"proved":[74],"satisfy":[76],"set":[78],"linear":[80,134],"annihilation":[81,110,127,158,184],"equations.":[82,111],"We":[83,151],"show":[84,179],"that":[85,129,136],"it":[86],"possible":[88],"reconstruct":[90],"parameters":[92],"curve":[95,132],"(i.e.,":[96],"detect":[98],"exact":[100],"positions":[102],"in":[103,141,162,186],"continuous":[105],"domain)":[106],"based":[107],"Robust":[112],"reconstruction":[113],"algorithms":[114],"also":[116],"developed":[117],"cope":[119],"scenarios":[121],"model":[123],"mismatch.":[124],"Moreover,":[125],"equations":[128],"characterize":[130],"constraints":[135],"can":[137],"be":[138],"easily":[139],"exploited":[140],"optimization":[142],"problems":[143],"for":[144],"further":[145],"image":[146,149],"processing":[147],"(e.g.,":[148],"up-sampling).":[150],"demonstrate":[152],"one":[153],"potential":[154],"application":[155],"algorithm":[159],"examples":[161],"edge-preserving":[163],"interpolation.":[164],"Experimental":[165],"results":[166],"both":[168],"synthetic":[169],"curves":[170],"well":[172],"edges":[174],"natural":[176],"images":[177],"clearly":[178],"effectiveness":[181],"constraint":[185],"preserving":[187],"sharp":[188],"edges,":[189],"improving":[191],"SNRs.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}