{"id":"https://openalex.org/W2904958271","doi":"https://doi.org/10.3390/e20120977","title":"Bayesian 3D X-ray Computed Tomography with a Hierarchical Prior Model for Sparsity in Haar Transform Domain","display_name":"Bayesian 3D X-ray Computed Tomography with a Hierarchical Prior Model for Sparsity in Haar Transform Domain","publication_year":2018,"publication_date":"2018-12-16","ids":{"openalex":"https://openalex.org/W2904958271","doi":"https://doi.org/10.3390/e20120977","mag":"2904958271","pmid":"https://pubmed.ncbi.nlm.nih.gov/33266700"},"language":"en","primary_location":{"id":"doi:10.3390/e20120977","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20120977","pdf_url":"https://www.mdpi.com/1099-4300/20/12/977/pdf?version=1545208713","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/20/12/977/pdf?version=1545208713","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Li Wang","orcid":"https://orcid.org/0000-0003-2727-6181"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Li Wang","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France"],"raw_orcid":"https://orcid.org/0000-0003-2727-6181","affiliations":[{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041990954","display_name":"Ali Mohammad\u2010Djafari","orcid":"https://orcid.org/0000-0003-0678-7759"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ali Mohammad-Djafari","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France"],"raw_orcid":"https://orcid.org/0000-0003-0678-7759","affiliations":[{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082573179","display_name":"Nicolas Gac","orcid":"https://orcid.org/0000-0001-6981-0368"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Gac","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France"],"raw_orcid":"https://orcid.org/0000-0001-6981-0368","affiliations":[{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056722645","display_name":"Mircea Dumitru","orcid":"https://orcid.org/0000-0002-1749-4831"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mircea Dumitru","raw_affiliation_strings":["Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des signaux et syst\u00e8me, Centralesupelec, CNRS, 3 Rue Joliot Curie, 91192 Gif sur Yvette, France","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3702,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66730489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"12","first_page":"977","last_page":"977"},"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/T12386","display_name":"Advanced X-ray and CT Imaging","score":0.9988999962806702,"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/T10844","display_name":"Radiation Dose and Imaging","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.8401787281036377},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.6005253791809082},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.598200798034668},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5799599289894104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5777217745780945},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.5112002491950989},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41647398471832275},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.39820441603660583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3456098437309265}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.8401787281036377},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.6005253791809082},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.598200798034668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5799599289894104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5777217745780945},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5112002491950989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41647398471832275},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.39820441603660583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3456098437309265},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e20120977","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20120977","pdf_url":"https://www.mdpi.com/1099-4300/20/12/977/pdf?version=1545208713","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:33266700","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33266700","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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:HAL:hal-01950706v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01950706","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2018, Special Issue \"Probabilistic Methods for Inverse Problems\", &#x27E8;10.3390/e20120977&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:e58de21dc0934e898edc10a525ff7cd4","is_oa":true,"landing_page_url":"https://doaj.org/article/e58de21dc0934e898edc10a525ff7cd4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 20, Iss 12, p 977 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/20/12/977/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e20120977","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7512575","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7512575","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e20120977","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e20120977","pdf_url":"https://www.mdpi.com/1099-4300/20/12/977/pdf?version=1545208713","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7300000190734863}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904958271.pdf","grobid_xml":"https://content.openalex.org/works/W2904958271.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1559374272","https://openalex.org/W1586661374","https://openalex.org/W1966360493","https://openalex.org/W1972150100","https://openalex.org/W1978468487","https://openalex.org/W1980461259","https://openalex.org/W1981367467","https://openalex.org/W1985588167","https://openalex.org/W1985690171","https://openalex.org/W1988669479","https://openalex.org/W1990919278","https://openalex.org/W1993102688","https://openalex.org/W1994750329","https://openalex.org/W1998277304","https://openalex.org/W2000721204","https://openalex.org/W2000771799","https://openalex.org/W2018332268","https://openalex.org/W2019647241","https://openalex.org/W2029460515","https://openalex.org/W2033106066","https://openalex.org/W2036941264","https://openalex.org/W2039939700","https://openalex.org/W2049204743","https://openalex.org/W2053321126","https://openalex.org/W2066608222","https://openalex.org/W2070749783","https://openalex.org/W2086570414","https://openalex.org/W2101946599","https://openalex.org/W2107844156","https://openalex.org/W2109188022","https://openalex.org/W2116641053","https://openalex.org/W2117853853","https://openalex.org/W2118613576","https://openalex.org/W2120636621","https://openalex.org/W2122825543","https://openalex.org/W2123991937","https://openalex.org/W2132680427","https://openalex.org/W2133665775","https://openalex.org/W2136634080","https://openalex.org/W2136759398","https://openalex.org/W2140054106","https://openalex.org/W2141637993","https://openalex.org/W2142058898","https://openalex.org/W2142419873","https://openalex.org/W2146583368","https://openalex.org/W2151351889","https://openalex.org/W2152020662","https://openalex.org/W2153552836","https://openalex.org/W2154744699","https://openalex.org/W2156081468","https://openalex.org/W2156706175","https://openalex.org/W2157666152","https://openalex.org/W2157812230","https://openalex.org/W2162308311","https://openalex.org/W2294150140","https://openalex.org/W2407641597","https://openalex.org/W2530327133","https://openalex.org/W2608993069","https://openalex.org/W2777029899","https://openalex.org/W4240518936","https://openalex.org/W4248681815","https://openalex.org/W4250589301","https://openalex.org/W6655708301","https://openalex.org/W6678007500","https://openalex.org/W6686449860"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W2355833770","https://openalex.org/W2562263695","https://openalex.org/W2135187896","https://openalex.org/W2147201983","https://openalex.org/W2015518264","https://openalex.org/W2795035211","https://openalex.org/W2160108762","https://openalex.org/W2017034551"],"abstract_inverted_index":{"In":[0,98],"this":[1],"paper,":[2],"a":[3,32,40,52,66,103],"hierarchical":[4,104],"prior":[5,106,127],"model":[6,72,107],"based":[7],"on":[8],"the":[9,25,30,44,63,99,111,119,123,126,133,142],"Haar":[10,34],"transformation":[11,35],"and":[12,73,85,92,110,137,162],"an":[13],"appropriate":[14],"Bayesian":[15,101],"computational":[16],"method":[17,144,152],"for":[18,43,132],"X-ray":[19],"CT":[20],"reconstruction":[21,155],"are":[22,76,113,160,165],"presented.":[23],"Given":[24],"piece-wise":[26],"continuous":[27],"property":[28],"of":[29,65,118,125],"object,":[31],"multilevel":[33],"is":[36,49,108,135],"used":[37,88],"to":[38,78,80,86],"associate":[39],"sparse":[41,47],"representation":[42],"object.":[45],"The":[46,70,116],"structure":[48],"enforced":[50],"via":[51],"generalized":[53],"Student-t":[54],"distribution":[55],"(":[56],"S":[57],"t":[58],"g":[59],"),":[60],"expressed":[61],"as":[62],"marginal":[64],"normal-inverse":[67],"Gamma":[68],"distribution.":[69],"proposed":[71,100,143],"corresponding":[74],"algorithm":[75,121],"designed":[77],"adapt":[79],"specific":[81],"3D":[82],"data":[83],"sizes":[84],"be":[87],"in":[89],"both":[90],"medical":[91],"industrial":[93],"Non-Destructive":[94],"Testing":[95],"(NDT)":[96],"applications.":[97],"method,":[102],"structured":[105],"proposed,":[109],"parameters":[112,124],"iteratively":[114],"estimated.":[115],"initialization":[117,134],"iterative":[120],"uses":[122],"distributions.":[128],"A":[129],"novel":[130],"strategy":[131],"presented":[136],"proven":[138],"experimentally.":[139],"We":[140],"compare":[141],"with":[145],"two":[146],"state-of-the-art":[147],"approaches,":[148],"showing":[149],"that":[150],"our":[151],"has":[153],"better":[154],"performance":[156],"when":[157,163],"fewer":[158],"projections":[159,164],"considered":[161],"acquired":[166],"from":[167],"limited":[168],"angles.":[169]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
