{"id":"https://openalex.org/W2086024415","doi":"https://doi.org/10.1109/bmei.2012.6513092","title":"A primal dual proximal point method of Chambolle-Pock algorithms for \u2113<sub>1</sub>-TV minimization problems in image reconstruction","display_name":"A primal dual proximal point method of Chambolle-Pock algorithms for \u2113<sub>1</sub>-TV minimization problems in image reconstruction","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2086024415","doi":"https://doi.org/10.1109/bmei.2012.6513092","mag":"2086024415"},"language":"en","primary_location":{"id":"doi:10.1109/bmei.2012.6513092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2012.6513092","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 5th International Conference on BioMedical Engineering and Informatics","raw_type":"proceedings-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/A5101421673","display_name":"Yuchao Tang","orcid":"https://orcid.org/0000-0002-4404-9952"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuchao Tang","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang 310031, P.R. China","Dept. of Math, Nanchang Univ., Nanchang, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang 310031, P.R. China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Dept. of Math, Nanchang Univ., Nanchang, China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101421931","display_name":"Jigen Peng","orcid":"https://orcid.org/0000-0002-0215-9678"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jigen Peng","raw_affiliation_strings":["Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, P.R. China","Dept. of Math., Xi'an JiaoTong Univ., Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Dept. of Math., Xi'an JiaoTong Univ., Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059786971","display_name":"Shigang Yue","orcid":"https://orcid.org/0000-0002-1899-6307"},"institutions":[{"id":"https://openalex.org/I51532219","display_name":"University of Lincoln","ror":"https://ror.org/03yeq9x20","country_code":"GB","type":"education","lineage":["https://openalex.org/I51532219"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Shigang Yue","raw_affiliation_strings":["School of Computer Science, University of Lincoln, Lincoln LN6 7TS, UK","School of Computer Science, University of Lincoln, Lincoln, UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Lincoln, Lincoln LN6 7TS, UK","institution_ids":["https://openalex.org/I51532219"]},{"raw_affiliation_string":"School of Computer Science, University of Lincoln, Lincoln, UK","institution_ids":["https://openalex.org/I51532219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100743217","display_name":"Jiawei Xu","orcid":"https://orcid.org/0009-0001-3937-9869"},"institutions":[{"id":"https://openalex.org/I51532219","display_name":"University of Lincoln","ror":"https://ror.org/03yeq9x20","country_code":"GB","type":"education","lineage":["https://openalex.org/I51532219"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jiawei Xu","raw_affiliation_strings":["School of Computer Science, University of Lincoln, Lincoln LN6 7TS, UK","School of Computer Science, University of Lincoln, Lincoln, UK"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Lincoln, Lincoln LN6 7TS, UK","institution_ids":["https://openalex.org/I51532219"]},{"raw_affiliation_string":"School of Computer Science, University of Lincoln, Lincoln, UK","institution_ids":["https://openalex.org/I51532219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101421673"],"corresponding_institution_ids":["https://openalex.org/I141649914"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1660272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"12","last_page":"16"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9980999827384949,"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/regularization","display_name":"Regularization (linguistics)","score":0.8244075775146484},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6845060586929321},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.6655994653701782},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5617489814758301},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5584311485290527},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5559355616569519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4598046839237213},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45770263671875},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43573105335235596},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.41961681842803955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39087721705436707},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.34644997119903564},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3456389307975769},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2761671543121338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08567249774932861}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.8244075775146484},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6845060586929321},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.6655994653701782},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5617489814758301},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5584311485290527},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5559355616569519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4598046839237213},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45770263671875},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43573105335235596},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.41961681842803955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39087721705436707},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.34644997119903564},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3456389307975769},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2761671543121338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08567249774932861},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/bmei.2012.6513092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2012.6513092","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 5th International Conference on BioMedical Engineering and Informatics","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.lincoln.ac.uk:13409","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196275","display_name":"Lincoln Repository (University of Lincoln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51532219","host_organization_name":"University of Lincoln","host_organization_lineage":["https://openalex.org/I51532219"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop contribution"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325626","display_name":"Education Department of Jiangxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W59557121","https://openalex.org/W198508004","https://openalex.org/W1980003430","https://openalex.org/W2003663624","https://openalex.org/W2010825468","https://openalex.org/W2024575266","https://openalex.org/W2027895669","https://openalex.org/W2028349405","https://openalex.org/W2031446220","https://openalex.org/W2034209212","https://openalex.org/W2042653706","https://openalex.org/W2055483062","https://openalex.org/W2063328864","https://openalex.org/W2071099763","https://openalex.org/W2074567512","https://openalex.org/W2092663520","https://openalex.org/W2119259145","https://openalex.org/W2138545762","https://openalex.org/W2139781420","https://openalex.org/W2142058898","https://openalex.org/W2145534432","https://openalex.org/W2147825506","https://openalex.org/W2158449358","https://openalex.org/W2168334281","https://openalex.org/W2962919586","https://openalex.org/W3100362236","https://openalex.org/W4292363360","https://openalex.org/W6658681405"],"related_works":["https://openalex.org/W2381850946","https://openalex.org/W4380449851","https://openalex.org/W3125091513","https://openalex.org/W4318832338","https://openalex.org/W2037048986","https://openalex.org/W4248383205","https://openalex.org/W1919390113","https://openalex.org/W4234745530","https://openalex.org/W2146383839","https://openalex.org/W2231829109"],"abstract_inverted_index":{"Computed":[0],"tomography":[1],"(CT)":[2],"image":[3,47,57,111],"reconstruction":[4,58],"problems":[5,36,44],"can":[6],"be":[7],"solved":[8],"by":[9],"finding":[10],"the":[11,55,62,86,98],"minimizer":[12],"of":[13,23,81],"a":[14,24,29,75],"suitable":[15],"objective":[16,19],"function.":[17],"The":[18],"function":[20],"usually":[21],"consists":[22],"data":[25,43,70,96],"fidelity":[26],"term":[27],"and":[28,65,97],"regularization":[30,64],"term.":[31,72],"Total":[32],"variation":[33],"(TV)":[34],"minimization":[35],"are":[37],"widely":[38],"used":[39,107],"for":[40],"solving":[41],"incomplete":[42],"in":[45],"CT":[46,56,110],"reconstruction.":[48,112],"In":[49],"this":[50],"paper,":[51],"we":[52],"focus":[53],"on":[54,93],"model":[59],"which":[60],"combines":[61],"TV":[63],"\u2113":[66],"<sub":[67],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[68],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[69],"error":[71],"We":[73,90],"introduce":[74],"primal":[76],"dual":[77],"proximal":[78],"point":[79],"method":[80],"Chambolle-Pock":[82],"algorithm":[83],"to":[84,108],"solve":[85],"proposed":[87],"optimization":[88],"problem.":[89],"tested":[91],"it":[92,102],"computer":[94],"simulated":[95],"experiment":[99],"results":[100],"shown":[101],"exhibited":[103],"good":[104],"performance":[105],"when":[106],"few-view":[109]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
