{"id":"https://openalex.org/W1908384797","doi":"https://doi.org/10.1109/tip.2015.2468175","title":"A General-Thresholding Solution for lp(0 <; p <; 1) Regularized CT Reconstruction","display_name":"A General-Thresholding Solution for lp(0 <; p <; 1) Regularized CT Reconstruction","publication_year":2015,"publication_date":"2015-08-14","ids":{"openalex":"https://openalex.org/W1908384797","doi":"https://doi.org/10.1109/tip.2015.2468175","mag":"1908384797","pmid":"https://pubmed.ncbi.nlm.nih.gov/26285150"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2015.2468175","doi":"https://doi.org/10.1109/tip.2015.2468175","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2468175","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Image Processing","raw_type":"journal-article"},"volume":null,"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/A5068881594","display_name":"Chuang Miao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405269449","display_name":"Wake Forest University Health Sciences","ror":"https://ror.org/046r1r105","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4405269449","https://openalex.org/I47251452"]},{"id":"https://openalex.org/I47251452","display_name":"Wake Forest University","ror":"https://ror.org/0207ad724","country_code":"US","type":"education","lineage":["https://openalex.org/I47251452"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chuang Miao","raw_affiliation_strings":["Biomedical Engineering, Wake Forest University Health Science, Winston Salem, NC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Engineering, Wake Forest University Health Science, Winston Salem, NC, USA","institution_ids":["https://openalex.org/I4405269449","https://openalex.org/I47251452"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052662150","display_name":"Hengyong Yu","orcid":"https://orcid.org/0000-0002-5852-0813","observed_orcids":["https://orcid.org/0000-0002-5852-0813"]},"institutions":[{"id":"https://openalex.org/I133738476","display_name":"University of Massachusetts Lowell","ror":"https://ror.org/03hamhx47","country_code":"US","type":"education","lineage":["https://openalex.org/I133738476"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hengyong Yu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA","institution_ids":["https://openalex.org/I133738476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.8585,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.94901147,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"12","first_page":"5455","last_page":"5468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9761000275611877,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9761000275611877,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.008799999952316284,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.008100000210106373,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lp-regularization","display_name":"Lp regularization","score":0.7749999761581421},{"id":"https://openalex.org/keywords/computed-tomography-reconstruction","display_name":"computed tomography reconstruction","score":0.7260000109672546},{"id":"https://openalex.org/keywords/thresholding","display_name":"thresholding","score":0.6240000128746033},{"id":"https://openalex.org/keywords/iterative-thresholding","display_name":"iterative thresholding","score":0.8240000009536743},{"id":"https://openalex.org/keywords/l1-regularization","display_name":"L1 regularization","score":0.6990000009536743},{"id":"https://openalex.org/keywords/l0-regularization","display_name":"L0 regularization","score":0.9459999799728394},{"id":"https://openalex.org/keywords/sparse-signal-recovery","display_name":"sparse signal recovery","score":0.7289999723434448},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"compressed sensing","score":0.9169999957084656},{"id":"https://openalex.org/keywords/error-bounds","display_name":"error bounds","score":0.7179999947547913},{"id":"https://openalex.org/keywords/shepp-logan-phantom","display_name":"Shepp-Logan phantom","score":0.8629999756813049}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7963730692863464},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.6968005895614624},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.672552227973938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6387646198272705},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.6013336181640625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5444123148918152},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"score":0.5069668292999268},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2941797375679016},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24624964594841003},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2392658293247223},{"id":"https://openalex.org/C2989005","wikidata":"https://www.wikidata.org/wiki/Q214963","display_name":"Nuclear medicine","level":1,"score":0.06777554750442505},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2015.2468175","doi":"https://doi.org/10.1109/tip.2015.2468175","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2468175","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-a","cwts-core","dongbi-a","doyens","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:26285150","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26285150","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,"listed_in":[],"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 image processing : a publication of the IEEE Signal Processing Society","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2823493842","display_name":null,"funder_award_id":"CBET-1540898","funder_id":"https://openalex.org/F4320337390","funder_display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems"}],"funders":[{"id":"https://openalex.org/F4320337390","display_name":"Division of Chemical, Bioengineering, Environmental, and Transport Systems","ror":"https://ror.org/0471zv972"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W198508004","https://openalex.org/W295165261","https://openalex.org/W1179297989","https://openalex.org/W1210424432","https://openalex.org/W1463341199","https://openalex.org/W1678356000","https://openalex.org/W1966661320","https://openalex.org/W1966920060","https://openalex.org/W1969387119","https://openalex.org/W1971563238","https://openalex.org/W1972150100","https://openalex.org/W1972652253","https://openalex.org/W1975490585","https://openalex.org/W1980454827","https://openalex.org/W2010669260","https://openalex.org/W2020925091","https://openalex.org/W2025666718","https://openalex.org/W2028781966","https://openalex.org/W2031906930","https://openalex.org/W2034974381","https://openalex.org/W2037521346","https://openalex.org/W2037964547","https://openalex.org/W2041891835","https://openalex.org/W2047063977","https://openalex.org/W2051864124","https://openalex.org/W2056201402","https://openalex.org/W2056636001","https://openalex.org/W2063978378","https://openalex.org/W2064322097","https://openalex.org/W2065919982","https://openalex.org/W2068454934","https://openalex.org/W2078204800","https://openalex.org/W2084052726","https://openalex.org/W2094366314","https://openalex.org/W2098569196","https://openalex.org/W2100556411","https://openalex.org/W2104031318","https://openalex.org/W2107861471","https://openalex.org/W2108982210","https://openalex.org/W2115706991","https://openalex.org/W2119667497","https://openalex.org/W2133665775","https://openalex.org/W2145096794","https://openalex.org/W2146842127","https://openalex.org/W2147298660","https://openalex.org/W2159463567","https://openalex.org/W2160396672","https://openalex.org/W2163916252","https://openalex.org/W2164452299","https://openalex.org/W2165565866","https://openalex.org/W2167122131","https://openalex.org/W2189260322","https://openalex.org/W2221775387","https://openalex.org/W2296616510","https://openalex.org/W2545067411","https://openalex.org/W2611328865","https://openalex.org/W2951629090","https://openalex.org/W2963322354","https://openalex.org/W4247092798","https://openalex.org/W4250955649"],"related_works":["https://openalex.org/W2328485015","https://openalex.org/W2017333383","https://openalex.org/W2316648765","https://openalex.org/W2257339912","https://openalex.org/W1996797998","https://openalex.org/W2149855549","https://openalex.org/W3184047890","https://openalex.org/W2911443471","https://openalex.org/W2048565978","https://openalex.org/W2587863204"],"abstract_inverted_index":{"It":[0],"is":[1,142],"well":[2,183],"known":[3],"that":[4],"\u21131":[5,31,74],"minimization":[6],"can":[7,160],"be":[8],"used":[9],"to":[10,127,195],"recover":[11],"sufficiently":[12],"sparse":[13],"unknown":[14],"signals":[15],"in":[16,184],"the":[17,29,34,54,68,73,77,81,88,129,132,146,152,155,163,172,177],"compressive":[18],"sensing":[19],"field.":[20],"The":[21,61,84,94],"\u2113p":[22,111],"regularization":[23,32,75],"method,":[24],"a":[25,41,106],"generalized":[26],"version":[27],"between":[28],"well-known":[30,69,147],"and":[33,76,121,140,193],"\u21130":[35,82],"regularization,":[36],"has":[37],"been":[38],"proposed":[39,133,156,178],"for":[40,53,67,72,80,105,137,167],"sparser":[42],"solution.":[43],"In":[44,175],"this":[45],"paper,":[46],"we":[47],"derive":[48],"several":[49],"quasi-analytic":[50],"thresholding":[51,103],"representations":[52,63],"\u2113p(0":[55],"<":[56,58],"p":[57],"1)":[59],"regularization.":[60,83],"derived":[62],"are":[64,92,98,125],"exact":[65],"matches":[66],"soft-threshold":[70],"filtering":[71,79,135,158,180],"hard-threshold":[78],"error":[85],"bounds":[86],"of":[87,109,119,131,171,186],"approximate":[89],"general":[90],"formulas":[91,97],"analyzed.":[93],"general-threshold":[95,134,157,179],"representation":[96],"incorporated":[99],"into":[100],"an":[101,110,168],"iterative":[102],"framework":[104],"fast":[107],"solution":[108],"regularized":[112],"computed":[113],"tomography":[114],"(CT)":[115],"reconstruction.":[116],"A":[117],"series":[118],"simulated":[120],"realistic":[122],"data":[123],"experiments":[124],"conducted":[126],"evaluate":[128],"performance":[130],"algorithm":[136,159,181],"CT":[138],"reconstruction,":[139],"it":[141],"also":[143],"compared":[144],"with":[145,151],"re-weighted":[148,153],"approach.":[149],"Compared":[150],"algorithm,":[154],"substantially":[161],"reduce":[162],"necessary":[164],"view":[165],"number":[166],"accurate":[169],"reconstruction":[170,189],"Shepp-Logan":[173],"phantom.":[174],"addition,":[176],"performs":[182],"terms":[185],"image":[187],"quality,":[188],"accuracy,":[190],"convergence":[191],"speed,":[192],"sensitivity":[194],"parameters.":[196]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}