{"id":"https://openalex.org/W2899144022","doi":"https://doi.org/10.1137/19m123868x","title":"Semiclassical Sampling and Discretization of Certain Linear Inverse Problems","display_name":"Semiclassical Sampling and Discretization of Certain Linear Inverse Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2899144022","doi":"https://doi.org/10.1137/19m123868x","mag":"2899144022"},"language":"en","primary_location":{"id":"doi:10.1137/19m123868x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m123868x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.01240","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080188368","display_name":"Plamen Stefanov","orcid":"https://orcid.org/0000-0002-8544-3411"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Plamen Stefanov","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080188368"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3911,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.4758627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"6","first_page":"5554","last_page":"5597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semiclassical-physics","display_name":"Semiclassical physics","score":0.9247900247573853},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.7754544019699097},{"id":"https://openalex.org/keywords/aliasing","display_name":"Aliasing","score":0.6659716963768005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6403698921203613},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.579623281955719},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5593854784965515},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5482455492019653},{"id":"https://openalex.org/keywords/nyquist-frequency","display_name":"Nyquist frequency","score":0.5346571207046509},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4747748076915741},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44339752197265625},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.436658650636673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3714086711406708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2303408682346344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17238059639930725},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15907076001167297},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.13453975319862366},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1024315357208252},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.07528340816497803},{"id":"https://openalex.org/keywords/undersampling","display_name":"Undersampling","score":0.0715319812297821},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06423619389533997}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.9247900247573853},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.7754544019699097},{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.6659716963768005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6403698921203613},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.579623281955719},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5593854784965515},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5482455492019653},{"id":"https://openalex.org/C98273374","wikidata":"https://www.wikidata.org/wiki/Q1501757","display_name":"Nyquist frequency","level":3,"score":0.5346571207046509},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4747748076915741},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44339752197265625},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.436658650636673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3714086711406708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2303408682346344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17238059639930725},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15907076001167297},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.13453975319862366},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1024315357208252},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.07528340816497803},{"id":"https://openalex.org/C136536468","wikidata":"https://www.wikidata.org/wiki/Q1225894","display_name":"Undersampling","level":2,"score":0.0715319812297821},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06423619389533997},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m123868x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m123868x","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1811.01240","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.01240","pdf_url":"https://arxiv.org/pdf/1811.01240","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:2899144022","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1811.01240","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.1811.01240","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.01240","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:1811.01240","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.01240","pdf_url":"https://arxiv.org/pdf/1811.01240","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":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2131065345","display_name":null,"funder_award_id":"DMS-1600327","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2899144022.pdf","grobid_xml":"https://content.openalex.org/works/W2899144022.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W651197039","https://openalex.org/W1532154335","https://openalex.org/W1757378232","https://openalex.org/W1902873925","https://openalex.org/W1987289493","https://openalex.org/W1993776477","https://openalex.org/W1996692478","https://openalex.org/W2002422940","https://openalex.org/W2005734433","https://openalex.org/W2038019732","https://openalex.org/W2045444089","https://openalex.org/W2058583833","https://openalex.org/W2059596616","https://openalex.org/W2075416285","https://openalex.org/W2078547733","https://openalex.org/W2089786039","https://openalex.org/W2091808722","https://openalex.org/W2164452299","https://openalex.org/W2166500461","https://openalex.org/W2540878741","https://openalex.org/W2575949058","https://openalex.org/W2758992391","https://openalex.org/W2971239609","https://openalex.org/W3081280821","https://openalex.org/W3102869754","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W3104620849","https://openalex.org/W2962990130","https://openalex.org/W2028038098","https://openalex.org/W2963496876","https://openalex.org/W2125529598","https://openalex.org/W2071029552","https://openalex.org/W2075534992","https://openalex.org/W3154570232","https://openalex.org/W2166446658","https://openalex.org/W2014485746","https://openalex.org/W2594493240","https://openalex.org/W1972177092","https://openalex.org/W3169372778","https://openalex.org/W1971095894","https://openalex.org/W2120744429","https://openalex.org/W3004606525","https://openalex.org/W2126050692","https://openalex.org/W1567691056","https://openalex.org/W3030221356","https://openalex.org/W2114936594"],"abstract_inverted_index":{"We":[0,26,48,63,85],"study":[1],"sampling":[2,31,69,97],"of":[3,33,43,79,90,96,105,108],"functions":[4],"$f$":[5,36,101],"and":[6,21,35,59,65,76],"their":[7],"images":[8],"$Af$":[9,34],"under":[10],"Fourier":[11],"integral":[12],"operators":[13],"$A$":[14,44],"at":[15],"rates":[16,70],"$sh$":[17],"with":[18],"$s$":[19],"fixed":[20],"$h$":[22],"a":[23,87],"small":[24],"parameter.":[25],"show":[27],"that":[28],"the":[29,40,53,57,60,67,73,77,82,93,106],"Nyquist":[30],"limit":[32],"are":[37],"related":[38],"by":[39],"canonical":[41],"relation":[42],"using":[45],"semiclassical":[46,110],"analysis.":[47],"apply":[49],"this":[50],"analysis":[51],"to":[52,99],"Radon":[54],"transform":[55],"in":[56,103],"parallel":[58],"fan-beam":[61],"coordinates.":[62],"explain":[64],"illustrate":[66],"optimal":[68],"for":[71],"$Af$,":[72],"aliasing":[74],"artifacts,":[75],"effect":[78],"averaging":[80],"(blurring)":[81],"data":[83],"$Af$.":[84],"prove":[86],"Weyl":[88],"type":[89],"estimate":[91],"on":[92],"minimal":[94],"number":[95],"points":[98],"recover":[100],"stably":[102],"terms":[104],"volume":[107],"its":[109],"wave":[111],"front":[112],"set.":[113]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
