{"id":"https://openalex.org/W2914118119","doi":"https://doi.org/10.1137/s0036139994266116","title":"Pseudolocal Tomography","display_name":"Pseudolocal Tomography","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W2914118119","doi":"https://doi.org/10.1137/s0036139994266116","mag":"2914118119"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139994266116","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994266116","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/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":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015022515","display_name":"\u0410. \u0413. \u0420\u0430\u043c\u043c","orcid":"https://orcid.org/0000-0002-5160-4248"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander G. Ramm","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034138273"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3446,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.8883796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"56","issue":"1","first_page":"167","last_page":"191"},"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/T11993","display_name":"Atomic and Subatomic Physics Research","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8330495357513428},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.6605792045593262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6447628140449524},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5713111758232117},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5578895211219788},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5331919193267822},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4858236312866211},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4744592607021332},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4388110339641571},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3699186146259308},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27572983503341675},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1978088915348053},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12511441111564636}],"concepts":[{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8330495357513428},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.6605792045593262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6447628140449524},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5713111758232117},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5578895211219788},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5331919193267822},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4858236312866211},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4744592607021332},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4388110339641571},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3699186146259308},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27572983503341675},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1978088915348053},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12511441111564636},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139994266116","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139994266116","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1579861261","https://openalex.org/W1600485280","https://openalex.org/W1603340857","https://openalex.org/W1755150507","https://openalex.org/W2040730868","https://openalex.org/W2049739919","https://openalex.org/W2055096766","https://openalex.org/W2085532260","https://openalex.org/W2161578021","https://openalex.org/W2170399784","https://openalex.org/W2467545770","https://openalex.org/W2790288331","https://openalex.org/W2792569643","https://openalex.org/W2911830756","https://openalex.org/W3119264854","https://openalex.org/W4299416517"],"related_works":["https://openalex.org/W1643781670","https://openalex.org/W2022592801","https://openalex.org/W2261272950","https://openalex.org/W632817140","https://openalex.org/W2539582652","https://openalex.org/W2805081726","https://openalex.org/W2083406957","https://openalex.org/W2914118119","https://openalex.org/W2051067641","https://openalex.org/W2116024496"],"abstract_inverted_index":{"Proposed":[0],"is":[1,10,77,108,134],"a":[2,102],"pseudolocal":[3,145],"tomography":[4,146],"concept.":[5],"A":[6,72],"function":[7,34,52],"$f_d":[8,57,75],"$":[9,76],"defined":[11],"which,":[12],"on":[13,20],"one":[14,41],"hand,":[15,23],"has":[16],"locality":[17],"properties":[18],"and,":[19],"the":[21,31,50,80,88,95,98,135,156],"other":[22],"preserves":[24],"locations":[25,44],"and":[26,35,45,141],"sizes":[27],"of":[28,30,36,47,49,56,62,90,97,138,144,150,155],"discontinuities":[29],"original":[32,51],"density":[33],"its":[37],"derivatives.":[38],"In":[39],"particular,":[40],"can":[42],"recover":[43],"values":[46],"jumps":[48,63],"f":[53],"from":[54,79],"these":[55],"$.":[58],"The":[59],"resulting":[60],"images":[61],"are":[64,147],"sharper":[65],"than":[66],"those":[67],"in":[68],"standard":[69],"global":[70],"tomography.":[71],"formula":[73,84],"for":[74,116],"obtained":[78],"Radon":[81,136],"transform":[82,137],"inversion":[83],"by":[85],"keeping":[86],"only":[87],"interval":[89],"length":[91],"$2d$":[92],"centered":[93],"at":[94],"singularity":[96],"Cauchy":[99],"kernel.":[100],"At":[101],"point":[103],"$x,f_d":[104],"(":[105],"x":[106,125],")$":[107,115,120],"computed":[109],"using":[110],"$\\hat":[111,132],"f(":[112],"{\\theta":[113,118,123],",p}":[114,119],"$(":[117],"satisfying":[121],"$|":[122],"\\cdot":[124],"-":[126],"p}":[127],"|":[128],"\\leq":[129],"d$,":[130],"where":[131],"f$":[133],"f.":[139],"Theoretical":[140],"numerical":[142],"aspects":[143],"discussed.":[148],"Results":[149],"model":[151],"experiments":[152],"showed":[153],"effectiveness":[154],"proposed":[157],"methods.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}