{"id":"https://openalex.org/W2023749508","doi":"https://doi.org/10.1137/s0036139901387186","title":"Theoretically Exact Filtered Backprojection-Type Inversion Algorithm for Spiral CT","display_name":"Theoretically Exact Filtered Backprojection-Type Inversion Algorithm for Spiral CT","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2023749508","doi":"https://doi.org/10.1137/s0036139901387186","mag":"2023749508"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139901387186","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901387186","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":true,"oa_status":"green","oa_url":"https://stars.library.ucf.edu/facultybib2000/3280","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034138273","display_name":"Alexander Katsevich","orcid":"https://orcid.org/0000-0002-6586-1210"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Katsevich","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034138273"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":15.5166,"has_fulltext":false,"cited_by_count":354,"citation_normalized_percentile":{"value":0.99503363,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"62","issue":"6","first_page":"2012","last_page":"2026"},"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12386","display_name":"Advanced X-ray and CT Imaging","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/algorithm","display_name":"Algorithm","score":0.5948964953422546},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.5907875299453735},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5614402294158936},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5177111625671387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5059632658958435},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.4623803496360779},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.44851237535476685},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.391954243183136},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2634146809577942},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25467586517333984},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07160612940788269}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5948964953422546},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.5907875299453735},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5614402294158936},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5177111625671387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5059632658958435},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.4623803496360779},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.44851237535476685},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.391954243183136},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2634146809577942},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25467586517333984},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07160612940788269},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139901387186","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139901387186","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"},{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-4279","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/3280","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:facultybib2000-4279","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/facultybib2000/3280","pdf_url":null,"source":{"id":"https://openalex.org/S4210172555","display_name":"Journal of International Crisis and Risk Communication Research","issn_l":"2576-0017","issn":["2576-0017","2576-0025"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Bibliography 2000s","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1295761885","display_name":"Nonclassical PDO and Some Practical Problems of Local       Tomography","funder_award_id":"9704285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1494229020","https://openalex.org/W1507925093","https://openalex.org/W1574707999","https://openalex.org/W2000833174","https://openalex.org/W2010668410","https://openalex.org/W2013742054","https://openalex.org/W2105807618","https://openalex.org/W2109152046","https://openalex.org/W2111998279","https://openalex.org/W2116676545","https://openalex.org/W2158553575"],"related_works":["https://openalex.org/W2366906938","https://openalex.org/W2349391998","https://openalex.org/W4205655149","https://openalex.org/W2000775715","https://openalex.org/W2795393339","https://openalex.org/W2074467390","https://openalex.org/W4254303342","https://openalex.org/W588552805","https://openalex.org/W4390618967","https://openalex.org/W2626393719"],"abstract_inverted_index":{"Proposed":[0],"is":[1,26,43,72,82],"a":[2,12,19,50,61],"theoretically":[3],"exact":[4],"formula":[5,42,85],"for":[6],"inversion":[7],"of":[8,30,40,60,63,93,99],"data":[9],"obtained":[10],"by":[11],"spiral":[13],"computed":[14],"tomography":[15],"(CT)":[16],"scan":[17],"with":[18],"two-dimensional":[20],"detector":[21,24],"array.":[22],"The":[23,37],"array":[25],"supposed":[27],"to":[28,76],"be":[29,47],"limited":[31],"extent":[32],"in":[33,49,74],"the":[34,41,64,70,84,87,94],"axial":[35],"direction.":[36],"main":[38],"property":[39,81],"that":[44,83],"it":[45],"can":[46],"implemented":[48],"truly":[51],"filtered":[52],"backprojection":[53],"fashion.":[54],"First,":[55],"one":[56],"performs":[57],"shift-invariant":[58],"filtering":[59],"derivative":[62],"cone":[65],"beam":[66],"projections,":[67],"and,":[68],"second,":[69],"result":[71],"backprojected":[73],"order":[75],"form":[77],"an":[78],"image.":[79],"Another":[80],"solves":[86],"so-called":[88],"long":[89],"object":[90],"problem.":[91],"Limitations":[92],"algorithm":[95],"are":[96,102],"discussed.":[97],"Results":[98],"numerical":[100],"experiments":[101],"presented.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
