{"id":"https://openalex.org/W2044291252","doi":"https://doi.org/10.1137/s0036139995291842","title":"Local Tomography for the Generalized Radon Transform","display_name":"Local Tomography for the Generalized Radon Transform","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W2044291252","doi":"https://doi.org/10.1137/s0036139995291842","mag":"2044291252"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139995291842","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995291842","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/scopus1990/2795","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":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alexander I. Katsevich","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034138273"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8546,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.84333699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"4","first_page":"1128","last_page":"1162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9912999868392944,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9904000163078308,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8658604621887207},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.827421247959137},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.672838032245636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.64580237865448},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5865404009819031},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5561427474021912},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5349928736686707},{"id":"https://openalex.org/keywords/tomographic-reconstruction","display_name":"Tomographic reconstruction","score":0.47150152921676636},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46497297286987305},{"id":"https://openalex.org/keywords/radon","display_name":"Radon","score":0.42778280377388},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4146101772785187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3314960300922394},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1286797821521759},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06012114882469177}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8658604621887207},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.827421247959137},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.672838032245636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.64580237865448},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5865404009819031},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5561427474021912},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5349928736686707},{"id":"https://openalex.org/C97742081","wikidata":"https://www.wikidata.org/wiki/Q7820109","display_name":"Tomographic reconstruction","level":3,"score":0.47150152921676636},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46497297286987305},{"id":"https://openalex.org/C545943180","wikidata":"https://www.wikidata.org/wiki/Q1133","display_name":"Radon","level":2,"score":0.42778280377388},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4146101772785187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3314960300922394},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1286797821521759},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06012114882469177},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139995291842","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995291842","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:scopus1990-3794","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus1990/2795","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":"Scopus Export 1990s","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:stars.library.ucf.edu:scopus1990-3794","is_oa":true,"landing_page_url":"https://stars.library.ucf.edu/scopus1990/2795","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":"Scopus Export 1990s","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1549451790","https://openalex.org/W1583839317","https://openalex.org/W1999151431","https://openalex.org/W2027842332","https://openalex.org/W2040730868","https://openalex.org/W2044153879","https://openalex.org/W2049739919","https://openalex.org/W2055096766","https://openalex.org/W2074859864","https://openalex.org/W2084527507","https://openalex.org/W2085532260","https://openalex.org/W2088016726","https://openalex.org/W2094649784","https://openalex.org/W2170399784","https://openalex.org/W2467545770","https://openalex.org/W2911830756","https://openalex.org/W2914118119"],"related_works":["https://openalex.org/W1964258184","https://openalex.org/W1972096828","https://openalex.org/W2529137940","https://openalex.org/W4302048708","https://openalex.org/W2359913921","https://openalex.org/W2953303953","https://openalex.org/W3110126359","https://openalex.org/W2088160757","https://openalex.org/W1966396025","https://openalex.org/W2062970329"],"abstract_inverted_index":{"Let":[0],"f":[1,75],"be":[2],"piecewise":[3],"smooth":[4],"with":[5],"only":[6],"jump":[7],"discontinuities":[8],"across":[9],"S:=singsupp":[10],"f.":[11],"The":[12,56],"asymptotic":[13],"behavior":[14],"of":[15,58,60,72,74],"${\\cal":[16,24],"B}":[17],"f$":[18],"near":[19],"S":[20],"is":[21,26,54,65,84],"obtained.":[22],"Here":[23],"B}$":[25],"an":[27],"elliptic":[28],"pseudodifferential":[29],"operator":[30],"which":[31],"satisfies":[32],"certain":[33],"not":[34],"very":[35],"restrictive":[36],"assumptions.":[37],"An":[38,67],"efficient":[39],"numerical":[40],"scheme":[41],"for":[42,48,69],"computing":[43],"local":[44,77],"tomography":[45],"(LT)":[46],"functions":[47,64],"the":[49,61,82,89],"generalized":[50],"Radon":[51],"transform":[52],"(GRT)":[53],"proposed.":[55],"effect":[57],"mollification":[59],"two":[62],"LT":[63],"investigated.":[66],"algorithm":[68],"finding":[70],"values":[71],"jumps":[73],"knowing":[76],"tomographic":[78],"data":[79],"corresponding":[80],"to":[81],"GRT":[83],"developed":[85],"and":[86],"tested":[87],"on":[88],"simulated":[90],"data.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
