{"id":"https://openalex.org/W2012252962","doi":"https://doi.org/10.1137/080740659","title":"Sampling in Flat Detector Fan Beam Tomography","display_name":"Sampling in Flat Detector Fan Beam Tomography","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2012252962","doi":"https://doi.org/10.1137/080740659","mag":"2012252962"},"language":"en","primary_location":{"id":"doi:10.1137/080740659","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080740659","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5072057057","display_name":"Steven H. Izen","orcid":"https://orcid.org/0000-0001-8293-6707"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Steven H. Izen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072057057"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7277,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72826875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"72","issue":"1","first_page":"61","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":1.0,"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":1.0,"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/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9890000224113464,"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/detector","display_name":"Detector","score":0.7249398827552795},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7079415321350098},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.596349835395813},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5926502346992493},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.5673339366912842},{"id":"https://openalex.org/keywords/perpendicular","display_name":"Perpendicular","score":0.5319426655769348},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5242990851402283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5055928230285645},{"id":"https://openalex.org/keywords/line-source","display_name":"Line source","score":0.4724683463573456},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.46112436056137085},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.458906352519989},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4388399124145508},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43786293268203735},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.42132580280303955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3979228734970093},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1615075170993805}],"concepts":[{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.7249398827552795},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7079415321350098},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.596349835395813},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5926502346992493},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.5673339366912842},{"id":"https://openalex.org/C199631012","wikidata":"https://www.wikidata.org/wiki/Q205034","display_name":"Perpendicular","level":2,"score":0.5319426655769348},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5242990851402283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5055928230285645},{"id":"https://openalex.org/C52119771","wikidata":"https://www.wikidata.org/wiki/Q6553335","display_name":"Line source","level":2,"score":0.4724683463573456},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.46112436056137085},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.458906352519989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4388399124145508},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43786293268203735},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.42132580280303955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3979228734970093},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1615075170993805},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080740659","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080740659","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1992584674","https://openalex.org/W1998470395","https://openalex.org/W2002422940","https://openalex.org/W2043533129","https://openalex.org/W2044651460","https://openalex.org/W2056980728","https://openalex.org/W2058583833","https://openalex.org/W2075416285","https://openalex.org/W2157812230","https://openalex.org/W2798922842","https://openalex.org/W3038165843","https://openalex.org/W3135765900"],"related_works":["https://openalex.org/W2026415250","https://openalex.org/W2111364039","https://openalex.org/W2156213969","https://openalex.org/W1947978507","https://openalex.org/W2110354376","https://openalex.org/W1532168148","https://openalex.org/W2025233680","https://openalex.org/W3143998207","https://openalex.org/W2471054161","https://openalex.org/W2960585509"],"abstract_inverted_index":{"In":[0],"fan":[1,114,141,152],"beam":[2,115,142,153],"tomography,":[3],"functions":[4],"in":[5,161,171],"$\\mathbb{R}^2$":[6],"are":[7,88,103],"reconstructed":[8],"from":[9,15,27,80,158],"integrals":[10],"along":[11],"rays":[12],"which":[13],"emanate":[14],"source":[16,29],"points":[17],"on":[18],"a":[19,51,64,70,85,128],"circle":[20],"exterior":[21],"to":[22,57,105,126],"the":[23,35,39,42,46,54,58,68,106,131,135,139,145,150,162],"object.":[24],"The":[25,61,109],"ray":[26,40],"each":[28],"can":[30],"be":[31,127],"parameterized":[32],"either":[33],"by":[34,45],"angle":[36],"subtended":[37],"with":[38,50,84],"through":[41,53],"origin":[43,55],"or":[44],"location":[47],"of":[48,112,117,130,134,138,144],"intersection":[49],"line":[52],"perpendicular":[56],"central":[59],"ray.":[60],"former":[62],"models":[63],"curved":[65,86,140],"detector":[66,87],"and":[67,124,156,166],"latter":[69],"flat":[71,107,113,151],"detector.":[72,108],"Requirements":[73],"for":[74,149],"reconstructing":[75],"an":[76,118],"essentially":[77,119],"bandlimited":[78,120],"function":[79,121],"regular":[81],"samples":[82],"acquired":[83],"well":[89],"known":[90],"[F.":[91,164],"Natterer,":[92],"SIAM":[93],"J.":[94],"Appl.":[95],"Math.,":[96],"53":[97],"(1993),":[98],"pp.":[99],"358\u2013380].":[100],"These":[101],"results":[102],"extended":[104],"essential":[110],"bandregion":[111,137],"transform":[116,143,154],"is":[122],"computed":[123],"shown":[125],"superset":[129],"scaled":[132],"version":[133],"corresponding":[136],"function.":[146],"Sampling":[147],"conditions":[148],"follow":[155],"differ":[157],"those":[159],"appearing":[160],"literature":[163],"Natterer":[165],"F.":[167],"W\u00fcbbeling,":[168],"Mathematical":[169],"Methods":[170],"Image":[172],"Reconstruction,":[173],"SIAM,":[174],"Philadelphia,":[175],"2001].":[176]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}