{"id":"https://openalex.org/W2101904780","doi":"https://doi.org/10.1109/tit.2012.2232346","title":"Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds","display_name":"Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds","publication_year":2012,"publication_date":"2012-12-08","ids":{"openalex":"https://openalex.org/W2101904780","doi":"https://doi.org/10.1109/tit.2012.2232346","mag":"2101904780"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2232346","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/record/170458/files/UnnikrishnanV12d.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039592314","display_name":"Jayakrishnan Unnikrishnan","orcid":"https://orcid.org/0000-0002-8464-4641"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jayakrishnan Unnikrishnan","raw_affiliation_strings":["Audiovisual Commun. Lab., Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Audiovisual Commun. Lab., Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049415924","display_name":"Martin Vetterli","orcid":"https://orcid.org/0000-0002-6122-1216"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"funder","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Martin Vetterli","raw_affiliation_strings":["Audiovisual Commun. Lab., Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Audiovisual Commun. Lab., Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.502,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":36,"citation_normalized_percentile":{"value":0.909441,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"59","issue":"4","first_page":"2103","last_page":"2127"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9907,"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":0.9907,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9821,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9536,"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/bandlimiting","display_name":"Bandlimiting","score":0.837378},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.49709108}],"concepts":[{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.837378},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.72698605},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.61865014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.51794523},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.49709108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45279065},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44172335},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.43655074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39953774},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34868652},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.288445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23985374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22018978},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.12032682},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12006679},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2232346","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170458","pdf_url":"https://infoscience.epfl.ch/record/170458/files/UnnikrishnanV12d.pdf","source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1112.0136","pdf_url":"https://arxiv.org/pdf/1112.0136","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/170458","pdf_url":"https://infoscience.epfl.ch/record/170458/files/UnnikrishnanV12d.pdf","source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.42,"id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":42,"referenced_works":["https://openalex.org/W132875544","https://openalex.org/W1523786725","https://openalex.org/W1663858207","https://openalex.org/W183074132","https://openalex.org/W1876608196","https://openalex.org/W1977818313","https://openalex.org/W1980774505","https://openalex.org/W1983127134","https://openalex.org/W1987339857","https://openalex.org/W1988588397","https://openalex.org/W1996692478","https://openalex.org/W2002422940","https://openalex.org/W2004626802","https://openalex.org/W2015740667","https://openalex.org/W2034744363","https://openalex.org/W2041132773","https://openalex.org/W2050512647","https://openalex.org/W2052272843","https://openalex.org/W2054926149","https://openalex.org/W2060968961","https://openalex.org/W2073842463","https://openalex.org/W2090450546","https://openalex.org/W2100115174","https://openalex.org/W2105672294","https://openalex.org/W2108943734","https://openalex.org/W2122735658","https://openalex.org/W2131052843","https://openalex.org/W2139242438","https://openalex.org/W2150633517","https://openalex.org/W2152644832","https://openalex.org/W2159229958","https://openalex.org/W2162551328","https://openalex.org/W2282094615","https://openalex.org/W2296326525","https://openalex.org/W2592904793","https://openalex.org/W2600064692","https://openalex.org/W2611804663","https://openalex.org/W3007676938","https://openalex.org/W3149448910","https://openalex.org/W3150873836","https://openalex.org/W4243886961","https://openalex.org/W4247278985"],"related_works":["https://openalex.org/W2156213969","https://openalex.org/W2129914186","https://openalex.org/W2111364039","https://openalex.org/W2094699071","https://openalex.org/W2094593363","https://openalex.org/W2091702063","https://openalex.org/W2050463697","https://openalex.org/W2005430599","https://openalex.org/W1962077027","https://openalex.org/W1947978507"],"abstract_inverted_index":{"Consider":[0],"the":[1,30,34,37,44,49,57,65,79,82,85,108,122,138,193,217],"task":[2],"of":[3,36,67,84,93,101,111,133,146,156,183,195,216],"sampling":[4,31,102,112,168,189,198,226,246],"and":[5,118],"reconstructing":[6],"a":[7,130,213],"bandlimited":[8,94],"spatial":[9,205,253],"field":[10,86],"in":[11,74,170,210,230],"R":[12,231],"2":[15,234],"using":[16],"moving":[17],"sensors":[18,38,50],"that":[19,71,81,129,148,207,222],"take":[20],"measurements":[21,83],"along":[22,33],"their":[23],"path.":[24],"It":[25],"is":[26],"inexpensive":[27],"to":[28,42,78,159,186,238],"increase":[29,43],"rate":[32],"paths":[35],"but":[39],"more":[40],"expensive":[41],"total":[45],"distance":[46],"traveled":[47],"by":[48],"per":[51],"unit":[52],"area,":[53],"which":[54],"we":[55,63,115,180],"call":[56],"path":[58,75,140,218],"density.":[59,219],"In":[60],"this":[61],"paper,":[62],"introduce":[64],"problem":[66,194],"designing":[68,167,196],"sensor":[69],"trajectories":[70,89,123,147,169,176,227],"are":[72,208],"minimal":[73,209],"density":[76,141],"subject":[77],"condition":[80],"on":[87,113,121,166,225,241],"these":[88],"admit":[90,149],"perfect":[91,125,150],"reconstruction":[92],"fields.":[95,173,254],"We":[96,127,152,162,191,220],"study":[97],"various":[98],"possible":[99],"designs":[100],"trajectories.":[103],"Generalizing":[104],"some":[105,155,182],"ideas":[106,185],"from":[107,142],"classical":[109],"theory":[110],"lattices,":[114],"obtain":[116,164],"necessary":[117],"sufficient":[119],"conditions":[120],"for":[124,200,228,248],"reconstruction.":[126,151],"show":[128,221],"single":[131],"set":[132],"equispaced":[134],"parallel":[135],"lines":[136],"has":[137],"lowest":[139],"certain":[143],"restricted":[144],"classes":[145],"then":[153],"generalize":[154],"our":[157,184,223],"results":[158,165,224,240],"higher":[160,171,187],"dimensions.":[161],"first":[163],"dimensional":[172,188],"Further,":[174],"interpreting":[175],"as":[177],"1-D":[178],"manifolds,":[179],"extend":[181],"manifolds.":[190],"formulate":[192],"\u03ba-dimensional":[197],"manifolds":[199,247],"d":[203,244,251],"-dimensional":[204,245,252],"fields":[206,229],"manifold":[211],"density,":[212],"natural":[214],"generalization":[215],"can":[235],"be":[236],"generalized":[237],"analogous":[239]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2101904780","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-03-18T12:55:43.532654","created_date":"2016-06-24"}