{"id":"https://openalex.org/W2047132421","doi":"https://doi.org/10.1109/tassp.1987.1165270","title":"Three-dimensional reconstruction from projections with incomplete and noisy data by object estimation","display_name":"Three-dimensional reconstruction from projections with incomplete and noisy data by object estimation","publication_year":1987,"publication_date":"1987-08-01","ids":{"openalex":"https://openalex.org/W2047132421","doi":"https://doi.org/10.1109/tassp.1987.1165270","mag":"2047132421"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165270","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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/A5026523226","display_name":"Yoram Bresler","orcid":"https://orcid.org/0000-0002-9738-1094"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Bresler","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Stanford University Stanford CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University Stanford CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041785812","display_name":"Albert Macovski","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Macovski","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.345,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.8038445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"8","first_page":"1139","last_page":"1152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/projection","display_name":"Projection (relational algebra)","score":0.7055229544639587},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.6451367139816284},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6083822846412659},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.5559645295143127},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5555574297904968},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5535493493080139},{"id":"https://openalex.org/keywords/noisy-data","display_name":"Noisy data","score":0.5214977860450745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4896259903907776},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.47288718819618225},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.46206459403038025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42161205410957336},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40705278515815735},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2860570549964905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2582821249961853},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.21639809012413025},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.125329852104187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09484055638313293}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7055229544639587},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.6451367139816284},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6083822846412659},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.5559645295143127},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5555574297904968},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5535493493080139},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.5214977860450745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4896259903907776},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.47288718819618225},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.46206459403038025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42161205410957336},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40705278515815735},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2860570549964905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2582821249961853},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.21639809012413025},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.125329852104187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09484055638313293},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165270","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W646900003","https://openalex.org/W954508226","https://openalex.org/W1733564464","https://openalex.org/W1976051399","https://openalex.org/W1980617746","https://openalex.org/W1993776477","https://openalex.org/W1998832076","https://openalex.org/W2011304959","https://openalex.org/W2036149463","https://openalex.org/W2041200067","https://openalex.org/W2043284346","https://openalex.org/W2044291212","https://openalex.org/W2058978857","https://openalex.org/W2060077817","https://openalex.org/W2070818218","https://openalex.org/W2075507349","https://openalex.org/W2084653147","https://openalex.org/W2094072727","https://openalex.org/W2095817904","https://openalex.org/W2104445502","https://openalex.org/W2105413061","https://openalex.org/W2107215290","https://openalex.org/W2107932830","https://openalex.org/W2109289112","https://openalex.org/W2114690521","https://openalex.org/W2122512809","https://openalex.org/W2123486583","https://openalex.org/W2128266453","https://openalex.org/W2134904727","https://openalex.org/W2179008018","https://openalex.org/W2226700268","https://openalex.org/W2249823706","https://openalex.org/W2763164835","https://openalex.org/W2973892671","https://openalex.org/W4230713808","https://openalex.org/W6624977308","https://openalex.org/W6744914425"],"related_works":["https://openalex.org/W2351452215","https://openalex.org/W2617963432","https://openalex.org/W3202199134","https://openalex.org/W1574341164","https://openalex.org/W2985646180","https://openalex.org/W2945787266","https://openalex.org/W2041566000","https://openalex.org/W2592293938","https://openalex.org/W2133018159","https://openalex.org/W2123944062"],"abstract_inverted_index":{"An":[0,48],"estimation":[1,46],"approach":[2],"to":[3,87],"three-dimensional":[4],"reconstruction":[5,37],"from":[6],"parallel":[7],"ray":[8],"projections,":[9],"with":[10,108],"incomplete":[11],"and":[12,120],"very":[13],"noisy":[14],"data,":[15,82],"is":[16,39,63,68],"described.":[17],"Using":[18],"a":[19,29,42,71,115,122],"stochastic":[20],"dynamic":[21],"model":[22],"for":[23,57],"an":[24],"object":[25,103],"of":[26,32,60,118],"interest":[27],"in":[28,70,97,114],"probed":[30],"domain":[31],"known":[33],"background":[34],"density,":[35],"the":[36,58,78,85,89],"problem":[38,62],"reformulated":[40],"as":[41,109,111,125,127],"n":[43],"onlinear":[44],"state":[45],"problem.":[47],"approximate":[49],"minimum":[50],"mean":[51],"square":[52],"error":[53],"globally":[54],"optimal":[55],"algorithm":[56],"solution":[59],"this":[61,98],"presented.":[64],"The":[65,93],"algorithm,":[66],"which":[67],"recursive":[69],"hybrid":[72],"frequency-space":[73],"domain,":[74],"operates":[75],"directly":[76],"on":[77],"Fourier":[79],"transformed":[80],"projection":[81,90],"eliminating":[83],"altogether":[84],"attempt":[86],"invert":[88],"integral":[91],"equation.":[92],"simulation":[94],"example":[95],"considered":[96],"paper":[99],"demonstrates":[100],"that":[101],"good":[102],"estimates":[104],"may":[105],"be":[106],"obtained":[107],"few":[110],"five":[112],"views":[113],"limited":[116],"sector":[117],"90\u00b0":[119],"at":[121],"signal-to-noise":[123],"ratio":[124],"low":[126],"0":[128],"dB.":[129]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
