{"id":"https://openalex.org/W2011380718","doi":"https://doi.org/10.1109/tmi.2014.2328660","title":"Alternating Direction Method of Multiplier for Tomography With Nonlocal Regularizers","display_name":"Alternating Direction Method of Multiplier for Tomography With Nonlocal Regularizers","publication_year":2014,"publication_date":"2014-06-04","ids":{"openalex":"https://openalex.org/W2011380718","doi":"https://doi.org/10.1109/tmi.2014.2328660","mag":"2011380718","pmid":"https://pubmed.ncbi.nlm.nih.gov/25291351"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2014.2328660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2014.2328660","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/A5052523460","display_name":"Se Young Chun","orcid":"https://orcid.org/0000-0001-8739-8960"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]},{"id":"https://openalex.org/I48566637","display_name":"Ulsan National Institute of Science and Technology","ror":"https://ror.org/017cjz748","country_code":"KR","type":"education","lineage":["https://openalex.org/I48566637"]}],"countries":["KR","US"],"is_corresponding":false,"raw_author_name":"Se Young Chun","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","School of Electrical and Computer Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan, Republic of Korea","institution_ids":["https://openalex.org/I48566637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065982764","display_name":"Yuni K. Dewaraja","orcid":"https://orcid.org/0000-0002-3920-6925"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuni K. Dewaraja","raw_affiliation_strings":["Department of Radiology, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Radiology, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027207271","display_name":"Jeffrey A. Fessler","orcid":"https://orcid.org/0000-0001-9998-3315"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey A. Fessler","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7555,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.92569785,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"33","issue":"10","first_page":"1960","last_page":"1968"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.998199999332428,"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/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.6452122330665588},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5815690755844116},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5670368075370789},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.5408381223678589},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5302747488021851},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5083102583885193},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.46830570697784424},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.4314948320388794},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4222412705421448},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41175520420074463},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4093542993068695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3085002303123474},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.3084580898284912},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.23570159077644348},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11761417984962463},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.10495421290397644},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06512251496315002}],"concepts":[{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.6452122330665588},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5815690755844116},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5670368075370789},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.5408381223678589},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5302747488021851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5083102583885193},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.46830570697784424},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.4314948320388794},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4222412705421448},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41175520420074463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4093542993068695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3085002303123474},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.3084580898284912},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.23570159077644348},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11761417984962463},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.10495421290397644},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06512251496315002},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","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":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014055","descriptor_name":"Tomography, Emission-Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014055","descriptor_name":"Tomography, Emission-Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014055","descriptor_name":"Tomography, Emission-Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1109/tmi.2014.2328660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2014.2328660","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:25291351","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25291351","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":null},{"id":"pmh:oai:europepmc.org:3429213","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4465786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:scholarworks.unist.ac.kr:201301/9147","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/document/6825888/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401118","display_name":"Scholarworks@UNIST (Ulsan National Institute of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48566637","host_organization_name":"Ulsan National Institute of Science and Technology","host_organization_lineage":["https://openalex.org/I48566637"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ARTICLE"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3266818004","display_name":null,"funder_award_id":"2RO1 EB001994","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3536824902","display_name":null,"funder_award_id":"R01 EB001994","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"},{"id":"https://openalex.org/G7506596770","display_name":null,"funder_award_id":"2R01 EB001994","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"}],"funders":[{"id":"https://openalex.org/F4320321348","display_name":"Ulsan National Institute of Science and Technology","ror":"https://ror.org/017cjz748"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W40545024","https://openalex.org/W1968889181","https://openalex.org/W1969549583","https://openalex.org/W1970820012","https://openalex.org/W1991217933","https://openalex.org/W2017162022","https://openalex.org/W2037922117","https://openalex.org/W2045112400","https://openalex.org/W2049633694","https://openalex.org/W2053958583","https://openalex.org/W2058532290","https://openalex.org/W2068840873","https://openalex.org/W2073895179","https://openalex.org/W2085645375","https://openalex.org/W2091494211","https://openalex.org/W2112575052","https://openalex.org/W2113891902","https://openalex.org/W2121570028","https://openalex.org/W2128701709","https://openalex.org/W2138558533","https://openalex.org/W2142058898","https://openalex.org/W2148791483","https://openalex.org/W2154679219","https://openalex.org/W2154744699","https://openalex.org/W2156612134","https://openalex.org/W2163867383","https://openalex.org/W2164278908","https://openalex.org/W2168543121","https://openalex.org/W2179595152","https://openalex.org/W2542168857","https://openalex.org/W3121742466","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W6601623556","https://openalex.org/W6668842165","https://openalex.org/W7054678948"],"related_works":["https://openalex.org/W1978153144","https://openalex.org/W2898901530","https://openalex.org/W2013921918","https://openalex.org/W102848802","https://openalex.org/W1976188970","https://openalex.org/W2982058819","https://openalex.org/W2130734797","https://openalex.org/W2019724159","https://openalex.org/W3176361882","https://openalex.org/W1512911331"],"abstract_inverted_index":{"The":[0],"ordered":[1],"subset":[2,16],"expectation":[3],"maximization":[4],"(OSEM)":[5],"algorithm":[6,107],"approximates":[7],"the":[8,60,76,80,95,110,126,145,153,175],"gradient":[9,62,165],"of":[10,17,20,99,155],"a":[11,15,105,139],"likelihood":[12,77,127],"function":[13],"using":[14,21,94,170],"projections":[18,23],"instead":[19],"all":[22],"so":[24],"that":[25,143],"fast":[26,106],"image":[27,87,136],"reconstruction":[28,48,88,137],"is":[29,63],"possible":[30],"for":[31,65,83,133],"emission":[32,85],"and":[33,40,79,90,168,174],"transmission":[34],"tomography":[35],"such":[36,53,163],"as":[37,54,164],"SPECT,":[38],"PET,":[39],"CT.":[41],"However,":[42],"OSEM":[43,169],"does":[44],"not":[45],"significantly":[46],"accelerate":[47],"with":[49,138],"computationally":[50],"expensive":[51],"regularizers":[52],"patch-based":[55,140],"nonlocal":[56],"(NL)":[57],"regularizers,":[58],"because":[59],"regularizer":[61,81,142],"evaluated":[64,130],"every":[66],"subset.":[67],"We":[68,102,129],"propose":[69,104],"to":[70,74,91,108,125,159],"use":[71],"variable":[72],"splitting":[73],"separate":[75],"term":[78,82],"penalized":[84],"tomographic":[86],"problem":[89],"optimize":[92,109],"it":[93],"alternating":[96],"direction":[97],"method":[98],"multiplier":[100],"(ADMM).":[101],"also":[103],"ADMM":[111,132,151],"parameter":[112],"based":[113],"on":[114],"convergence":[115,156],"rate":[116],"analysis.":[117],"This":[118],"new":[119],"scheme":[120],"enables":[121],"more":[122],"sub-iterations":[123],"related":[124],"term.":[128],"our":[131],"3-D":[134],"SPECT":[135],"NL":[141],"uses":[144],"Fair":[146],"potential":[147],"function.":[148],"Our":[149],"proposed":[150],"improved":[152],"speed":[154],"substantially":[157],"compared":[158],"other":[160],"existing":[161],"methods":[162],"descent,":[166],"EM,":[167],"De":[171],"Pierro's":[172],"approach,":[173],"limited-memory":[176],"Broyden-Fletcher-Goldfarb-Shanno":[177],"algorithm.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}