{"id":"https://openalex.org/W2803086176","doi":"https://doi.org/10.1109/tmi.2018.2833499","title":"Deep Learning Computed Tomography: Learning Projection-Domain Weights From Image Domain in Limited Angle Problems","display_name":"Deep Learning Computed Tomography: Learning Projection-Domain Weights From Image Domain in Limited Angle Problems","publication_year":2018,"publication_date":"2018-05-07","ids":{"openalex":"https://openalex.org/W2803086176","doi":"https://doi.org/10.1109/tmi.2018.2833499","mag":"2803086176","pmid":"https://pubmed.ncbi.nlm.nih.gov/29870373"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2018.2833499","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2018.2833499","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5030367033","display_name":"Tobias W\u00fcrfl","orcid":"https://orcid.org/0000-0001-9086-0896"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tobias W\u00fcrfl","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9086-0896","affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046060326","display_name":"Mathis Hoffmann","orcid":"https://orcid.org/0000-0002-1009-3111"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mathis Hoffmann","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087093169","display_name":"Vincent Christlein","orcid":"https://orcid.org/0000-0003-0455-3799"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vincent Christlein","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0455-3799","affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025681380","display_name":"Katharina Breininger","orcid":"https://orcid.org/0000-0001-7600-5869"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Katharina Breininger","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073209088","display_name":"Yixing Huang","orcid":"https://orcid.org/0000-0003-2627-3077"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yixin Huang","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2627-3077","affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087095414","display_name":"Mathias Unberath","orcid":"https://orcid.org/0000-0002-0055-9950"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mathias Unberath","raw_affiliation_strings":["Computer Aided Medical Procedures, Johns Hopkins University, Baltimore, MD, USA"],"raw_orcid":"https://orcid.org/0000-0002-0055-9950","affiliations":[{"raw_affiliation_string":"Computer Aided Medical Procedures, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101619735","display_name":"Andreas Maier","orcid":"https://orcid.org/0000-0002-9550-5284"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andreas K. Maier","raw_affiliation_strings":["Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9550-5284","affiliations":[{"raw_affiliation_string":"Department Informatik, Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":20.1468,"has_fulltext":false,"cited_by_count":256,"citation_normalized_percentile":{"value":0.99633155,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"37","issue":"6","first_page":"1454","last_page":"1463"},"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/T12386","display_name":"Advanced X-ray and CT Imaging","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9958000183105469,"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/projection","display_name":"Projection (relational algebra)","score":0.7370420694351196},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.5920869708061218},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5802124738693237},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5746539831161499},{"id":"https://openalex.org/keywords/tomographic-reconstruction","display_name":"Tomographic reconstruction","score":0.552087664604187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5357334613800049},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5178830623626709},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4553156793117523},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.42484280467033386},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.413869708776474},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3993055522441864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25956568121910095}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7370420694351196},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.5920869708061218},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5802124738693237},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5746539831161499},{"id":"https://openalex.org/C97742081","wikidata":"https://www.wikidata.org/wiki/Q7820109","display_name":"Tomographic reconstruction","level":3,"score":0.552087664604187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5357334613800049},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5178830623626709},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4553156793117523},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.42484280467033386},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.413869708776474},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3993055522441864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25956568121910095},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011857","descriptor_name":"Radiographic Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D011857","descriptor_name":"Radiographic Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D011857","descriptor_name":"Radiographic Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tmi.2018.2833499","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2018.2833499","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},{"id":"pmid:29870373","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29870373","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on medical imaging","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4593765863","display_name":null,"funder_award_id":"EB017095","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"},{"id":"https://openalex.org/G7048746577","display_name":null,"funder_award_id":"EB017185","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"}],"funders":[{"id":"https://openalex.org/F4320309691","display_name":"American Association of Physicists in Medicine","ror":"https://ror.org/015jknj09"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1836465849","https://openalex.org/W1868831826","https://openalex.org/W1901129140","https://openalex.org/W1970163214","https://openalex.org/W2023749508","https://openalex.org/W2031572482","https://openalex.org/W2035895659","https://openalex.org/W2080924368","https://openalex.org/W2095705004","https://openalex.org/W2098239148","https://openalex.org/W2110798204","https://openalex.org/W2119300750","https://openalex.org/W2133665775","https://openalex.org/W2134999791","https://openalex.org/W2146545011","https://openalex.org/W2171141876","https://openalex.org/W2318872361","https://openalex.org/W2520016695","https://openalex.org/W2525884435","https://openalex.org/W2542870090","https://openalex.org/W2581082771","https://openalex.org/W2592048188","https://openalex.org/W2593035862","https://openalex.org/W2593200160","https://openalex.org/W2607406448","https://openalex.org/W2626454479","https://openalex.org/W2788039499","https://openalex.org/W2963653931","https://openalex.org/W2964203396","https://openalex.org/W3101765447","https://openalex.org/W3103586216","https://openalex.org/W4249286716","https://openalex.org/W6638667902","https://openalex.org/W6639824700","https://openalex.org/W6674330103","https://openalex.org/W6676481782","https://openalex.org/W6681825795","https://openalex.org/W6734359964","https://openalex.org/W6746231921","https://openalex.org/W6785719613","https://openalex.org/W6922652424"],"related_works":["https://openalex.org/W3110126359","https://openalex.org/W2079352884","https://openalex.org/W2088160757","https://openalex.org/W2062970329","https://openalex.org/W2982317495","https://openalex.org/W2004988775","https://openalex.org/W2088308468","https://openalex.org/W170151271","https://openalex.org/W2947117330","https://openalex.org/W2295596929"],"abstract_inverted_index":{"In":[0,120,133],"this":[1,15,43,61],"paper,":[2],"we":[3,17,45,135],"present":[4],"a":[5,32,47,66,95,100,105],"new":[6,48,77],"deep":[7,71],"learning":[8,72],"framework":[9],"for":[10,74],"3-D":[11],"tomographic":[12],"reconstruction.":[13],"To":[14,41],"end,":[16],"map":[18],"filtered":[19],"back-projection-type":[20],"algorithms":[21,110],"to":[22,37,155],"neural":[23],"networks.":[24],"However,":[25],"the":[26,56,113,121,125,138,151],"back-projection":[27,52],"cannot":[28],"be":[29,142],"implemented":[30],"as":[31,65,160],"fully":[33],"connected":[34],"layer":[35,78],"due":[36],"its":[38],"memory":[39],"requirements.":[40],"overcome":[42],"problem,":[44],"propose":[46],"type":[49],"of":[50,82,123],"cone-beam":[51],"layer,":[53],"efficiently":[54],"calculating":[55],"forward":[57],"pass.":[58],"We":[59],"derive":[60],"layer's":[62],"backward":[63],"pass":[64],"projection":[67,88],"operation.":[68],"Unlike":[69],"most":[70],"approaches":[73],"reconstruction,":[75],"our":[76],"permits":[79],"joint":[80],"optimization":[81],"correction":[83],"steps":[84],"in":[85,99],"volume":[86],"and":[87,163],"domain.":[89],"Evaluation":[90],"is":[91,153],"performed":[92],"numerically":[93],"on":[94],"public":[96],"data":[97],"set":[98],"limited":[101],"angle":[102],"setting":[103],"showing":[104],"consistent":[106],"improvement":[107],"over":[108],"analytical":[109],"while":[111],"keeping":[112],"same":[114],"computational":[115],"test-time":[116],"complexity":[117],"by":[118,131],"design.":[119],"region":[122],"interest,":[124],"peak":[126],"signal-to-noise":[127],"ratio":[128],"has":[129],"increased":[130],"23%.":[132],"addition,":[134],"show":[136],"that":[137],"learned":[139],"algorithm":[140],"can":[141],"interpreted":[143],"using":[144],"known":[145],"concepts":[146],"from":[147],"cone":[148],"beam":[149],"reconstruction:":[150],"network":[152],"able":[154],"automatically":[156],"learn":[157],"strategies":[158],"such":[159],"compensation":[161],"weights":[162],"apodization":[164],"windows.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":27},{"year":2023,"cited_by_count":38},{"year":2022,"cited_by_count":35},{"year":2021,"cited_by_count":41},{"year":2020,"cited_by_count":46},{"year":2019,"cited_by_count":32},{"year":2018,"cited_by_count":5}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}