{"id":"https://openalex.org/W2915603666","doi":"https://doi.org/10.1137/19m1251035","title":"Microlocal Analysis of a Compton Tomography Problem","display_name":"Microlocal Analysis of a Compton Tomography Problem","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2915603666","doi":"https://doi.org/10.1137/19m1251035","mag":"2915603666"},"language":"en","primary_location":{"id":"doi:10.1137/19m1251035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1251035","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","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/1902.09623","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009075275","display_name":"James W. Webber","orcid":"https://orcid.org/0000-0002-6774-2119"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James W. Webber","raw_affiliation_strings":["Tufts University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tufts University","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009199018","display_name":"Eric Todd Quinto","orcid":"https://orcid.org/0000-0002-8993-8737"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Todd Quinto","raw_affiliation_strings":["Tufts University"],"raw_orcid":"https://orcid.org/0000-0002-8993-8737","affiliations":[{"raw_affiliation_string":"Tufts University","institution_ids":["https://openalex.org/I121934306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009075275"],"corresponding_institution_ids":["https://openalex.org/I121934306"],"apc_list":null,"apc_paid":null,"fwci":0.2231,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55665197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"2","first_page":"746","last_page":"774"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9983000159263611,"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":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/microlocal-analysis","display_name":"Microlocal analysis","score":0.7591789960861206},{"id":"https://openalex.org/keywords/compton-scattering","display_name":"Compton scattering","score":0.5794327259063721},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5628376007080078},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5061089396476746},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.45226138830184937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4279700219631195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4066985845565796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39352911710739136},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3505508005619049},{"id":"https://openalex.org/keywords/operator-theory","display_name":"Operator theory","score":0.28183144330978394},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.2665039896965027},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23841112852096558},{"id":"https://openalex.org/keywords/fourier-integral-operator","display_name":"Fourier integral operator","score":0.22316384315490723},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22271385788917542},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.18661648035049438}],"concepts":[{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.7591789960861206},{"id":"https://openalex.org/C61203554","wikidata":"https://www.wikidata.org/wiki/Q171516","display_name":"Compton scattering","level":3,"score":0.5794327259063721},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5628376007080078},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5061089396476746},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.45226138830184937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4279700219631195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4066985845565796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39352911710739136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3505508005619049},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.28183144330978394},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.2665039896965027},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23841112852096558},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.22316384315490723},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22271385788917542},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.18661648035049438},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/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":4,"locations":[{"id":"doi:10.1137/19m1251035","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1251035","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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 Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.09623","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09623","pdf_url":"https://arxiv.org/pdf/1902.09623","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":"","raw_type":"text"},{"id":"mag:2915603666","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1902.09623","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.1902.09623","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.09623","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:1902.09623","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.09623","pdf_url":"https://arxiv.org/pdf/1902.09623","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":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6399999856948853,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1821991279","display_name":"Tomography and Microlocal Analysis","funder_award_id":"1712207","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3134715369","display_name":null,"funder_award_id":"DMS 1712207","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4023325674","display_name":null,"funder_award_id":"DMS-1712207","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4166354238","display_name":null,"funder_award_id":"2013-ST-061-ED0001","funder_id":"https://openalex.org/F4320332664","funder_display_name":"Science and Technology Directorate"},{"id":"https://openalex.org/G7282745900","display_name":null,"funder_award_id":"2013-ST-061-ED0001","funder_id":"https://openalex.org/F4320306110","funder_display_name":"U.S. Department of Homeland Security"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306110","display_name":"U.S. Department of Homeland Security","ror":"https://ror.org/00jyr0d86"},{"id":"https://openalex.org/F4320332664","display_name":"Science and Technology Directorate","ror":"https://ror.org/00jyr0d86"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2915603666.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1532154335","https://openalex.org/W1686740136","https://openalex.org/W1935293313","https://openalex.org/W1998762105","https://openalex.org/W2000859233","https://openalex.org/W2001791668","https://openalex.org/W2003554343","https://openalex.org/W2004804713","https://openalex.org/W2016716371","https://openalex.org/W2042978562","https://openalex.org/W2049042314","https://openalex.org/W2058583833","https://openalex.org/W2058605171","https://openalex.org/W2062853909","https://openalex.org/W2065207910","https://openalex.org/W2072450129","https://openalex.org/W2101282446","https://openalex.org/W2324145175","https://openalex.org/W2605453698","https://openalex.org/W2625008887","https://openalex.org/W2767053458","https://openalex.org/W2769126129","https://openalex.org/W2776868024","https://openalex.org/W2803351590","https://openalex.org/W2809920518","https://openalex.org/W3101565593","https://openalex.org/W4206185768","https://openalex.org/W4236448387","https://openalex.org/W4241138783"],"related_works":["https://openalex.org/W2981687123","https://openalex.org/W2798837355","https://openalex.org/W2068017087","https://openalex.org/W2039574235","https://openalex.org/W2056289585","https://openalex.org/W3173257921","https://openalex.org/W2806238362","https://openalex.org/W2062700545","https://openalex.org/W1986942571","https://openalex.org/W3101628801","https://openalex.org/W1577154201","https://openalex.org/W2499070474","https://openalex.org/W2581187611","https://openalex.org/W2803240470","https://openalex.org/W2139070311","https://openalex.org/W1671092132","https://openalex.org/W2499511255","https://openalex.org/W1491812506","https://openalex.org/W1525713525","https://openalex.org/W2951076731"],"abstract_inverted_index":{"Here":[0],"we":[1,46,86],"present":[2,103],"a":[3,8,15,109],"novel":[4],"microlocal":[5,44],"analysis":[6,31],"of":[7,32,52,89,118],"new":[9],"toric":[10,54],"section":[11,55],"transform":[12,41,56],"which":[13],"describes":[14],"two":[16,33],"dimensional":[17],"image":[18,64],"reconstruction":[19],"problem":[20],"in":[21,66],"Compton":[22],"scattering":[23],"tomography":[24],"and":[25,42,79,112],"airport":[26],"baggage":[27],"screening.":[28],"By":[29],"an":[30],"separate":[34],"limited":[35],"data":[36,107],"problems":[37],"for":[38,75,93],"the":[39,49,53,67,76,90,98],"circle":[40],"using":[43,108],"analysis,":[45],"show":[47],"that":[48,61],"canonical":[50],"relation":[51],"is":[57],"2--1.":[58],"This":[59],"implies":[60],"there":[62],"are":[63],"artefacts":[65,78],"filtered":[68],"backprojection":[69],"reconstruction.":[70],"We":[71,102],"provide":[72],"explicit":[73],"expressions":[74],"expected":[77],"demonstrate":[80],"these":[81],"by":[82],"simulations.":[83],"In":[84],"addition,":[85],"prove":[87],"injectivity":[88],"forward":[91],"operator":[92],"$L^\\infty$":[94],"functions":[95],"supported":[96],"inside":[97],"open":[99],"unit":[100],"ball.":[101],"reconstructions":[104],"from":[105],"simulated":[106],"discrete":[110],"approach":[111],"several":[113],"regularizers":[114],"with":[115],"varying":[116],"levels":[117],"added":[119],"pseudo-random":[120],"noise.":[121]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}