{"id":"https://openalex.org/W3033628237","doi":"https://doi.org/10.1142/s0217595920400102","title":"An Inexact Dual Alternating Direction Method of Multipliers for Image Decomposition and Restoration","display_name":"An Inexact Dual Alternating Direction Method of Multipliers for Image Decomposition and Restoration","publication_year":2020,"publication_date":"2020-06-02","ids":{"openalex":"https://openalex.org/W3033628237","doi":"https://doi.org/10.1142/s0217595920400102","mag":"3033628237"},"language":"en","primary_location":{"id":"doi:10.1142/s0217595920400102","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595920400102","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","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/A5100740060","display_name":"Qingsong Wang","orcid":"https://orcid.org/0000-0002-5106-2637"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingsong Wang","raw_affiliation_strings":["School of Mathematical Sciences, Beihang University, No. 37 Xueyuan Road, Haidian District, Beijing 100191, China","School of Mathematics, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beihang University, No. 37 Xueyuan Road, Haidian District, Beijing 100191, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062041615","display_name":"Chengjing Wang","orcid":"https://orcid.org/0000-0001-8959-2505"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengjing Wang","raw_affiliation_strings":["School of Mathematics and National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, No. 999, Xian Road, West Park, High-tech Zone, Chengdu 611756, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102939077","display_name":"Peipei Tang","orcid":"https://orcid.org/0000-0003-4137-8029"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peipei Tang","raw_affiliation_strings":["School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Computing Science, Zhejiang University City College, Hangzhou 310015, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047697552","display_name":"Dunbiao Niu","orcid":"https://orcid.org/0000-0002-3971-054X"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dunbiao Niu","raw_affiliation_strings":["College of Mathematics, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu 610065, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics, Sichuan University, No. 24 South Section 1, Yihuan Road, Chengdu 610065, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1917,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.4758809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"37","issue":"04","first_page":"2040010","last_page":"2040010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":1.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7184092402458191},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6119428277015686},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5390365123748779},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5262571573257446},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.5251157879829407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48907405138015747},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4704676568508148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4365183711051941},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.41948145627975464},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4158937931060791},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.36941397190093994},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35602039098739624},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.30846503376960754}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7184092402458191},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6119428277015686},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5390365123748779},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5262571573257446},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.5251157879829407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48907405138015747},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4704676568508148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4365183711051941},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.41948145627975464},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4158937931060791},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.36941397190093994},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35602039098739624},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30846503376960754},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0217595920400102","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0217595920400102","pdf_url":null,"source":{"id":"https://openalex.org/S1254427","display_name":"Asia Pacific Journal of Operational Research","issn_l":"0217-5959","issn":["0217-5959","1793-7019"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asia-Pacific Journal of Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:apjorx:v:37:y:2020:i:04:n:s0217595920400102","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0217595920400102","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W633432057","https://openalex.org/W1488881187","https://openalex.org/W1719940360","https://openalex.org/W1973700755","https://openalex.org/W2006263349","https://openalex.org/W2024774629","https://openalex.org/W2040378863","https://openalex.org/W2042458788","https://openalex.org/W2045559171","https://openalex.org/W2050023599","https://openalex.org/W2071142766","https://openalex.org/W2092231222","https://openalex.org/W2103559027","https://openalex.org/W2766229547","https://openalex.org/W2790641707","https://openalex.org/W3102223204","https://openalex.org/W4213294521","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2357322570","https://openalex.org/W90581812","https://openalex.org/W2997591215","https://openalex.org/W2227541280","https://openalex.org/W2038232617","https://openalex.org/W2317351040","https://openalex.org/W2380059383","https://openalex.org/W4285447065","https://openalex.org/W2063679720","https://openalex.org/W1988622314"],"abstract_inverted_index":{"In":[0,19],"this":[1,20],"paper,":[2],"we":[3,84],"apply":[4],"an":[5,15,22,51],"inexact":[6,81],"dual":[7],"alternating":[8],"direction":[9],"method":[10],"of":[11,50,79],"multipliers":[12],"(dADMM)":[13],"to":[14,93],"image":[16,23,52,57],"decomposition":[17],"model.":[18],"model,":[21],"is":[24],"divided":[25],"into":[26],"two":[27],"meaningful":[28],"components,":[29],"i.e.,":[30],"a":[31,35],"cartoon":[32,44],"part":[33,45,49],"and":[34,46,77],"texture":[36,48],"part.":[37],"The":[38],"dADMM":[39],"presents":[40],"not":[41],"only":[42],"the":[43,47,55,66,70,75,80],"but":[53],"also":[54,64],"restored":[56],"(cartoon":[58],"[Formula:":[59],"see":[60],"text]":[61],"part).":[62],"We":[63],"summarize":[65],"global":[67],"convergence":[68],"for":[69],"algorithm.":[71],"Numerical":[72],"experiments":[73],"demonstrate":[74],"efficiency":[76],"robustness":[78],"dADMM.":[82],"Furthermore,":[83],"can":[85],"obtain":[86],"relatively":[87],"higher":[88],"signal-to-noise":[89],"ratio":[90],"(SNR)":[91],"comparing":[92],"other":[94],"algorithms.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}