{"id":"https://openalex.org/W2518411532","doi":"https://doi.org/10.1137/15m1045892","title":"Modulus Methods for Nonnegatively Constrained Image Restoration","display_name":"Modulus Methods for Nonnegatively Constrained Image Restoration","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2518411532","doi":"https://doi.org/10.1137/15m1045892","mag":"2518411532"},"language":"en","primary_location":{"id":"doi:10.1137/15m1045892","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1045892","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5112783526","display_name":"Jun-Liang Dong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun-Liang Dong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015817857","display_name":"Junbin Gao","orcid":"https://orcid.org/0000-0001-9803-0256"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Junbin Gao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077865965","display_name":"Fujiao Ju","orcid":"https://orcid.org/0000-0002-0188-6996"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fujiao Ju","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5056594120","display_name":"Jinghua Shen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jinghua Shen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.035,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.9057294,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":"3","first_page":"1226","last_page":"1246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.7338707447052002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6571133136749268},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5889274477958679},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5589419007301331},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5058128833770752},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4510851800441742},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.44707930088043213},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4393472671508789},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4249880015850067},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4240022301673889},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.42175042629241943},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41357868909835815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33888453245162964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31115615367889404},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1368032991886139}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.7338707447052002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6571133136749268},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5889274477958679},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5589419007301331},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5058128833770752},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4510851800441742},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.44707930088043213},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4393472671508789},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4249880015850067},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4240022301673889},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.42175042629241943},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41357868909835815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33888453245162964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31115615367889404},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1368032991886139},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1045892","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1045892","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.699999988079071}],"awards":[{"id":"https://openalex.org/G3872200072","display_name":null,"funder_award_id":"DP140102270","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1970109241","https://openalex.org/W1979382551","https://openalex.org/W1982337446","https://openalex.org/W1989387477","https://openalex.org/W2010084630","https://openalex.org/W2019065055","https://openalex.org/W2020584829","https://openalex.org/W2033186119","https://openalex.org/W2033242948","https://openalex.org/W2039466093","https://openalex.org/W2054786539","https://openalex.org/W2056950638","https://openalex.org/W2065455220","https://openalex.org/W2075041908","https://openalex.org/W2078788688","https://openalex.org/W2097897435","https://openalex.org/W2116147316","https://openalex.org/W2128234186","https://openalex.org/W2143101939","https://openalex.org/W2143153202","https://openalex.org/W2148589597","https://openalex.org/W2151471453","https://openalex.org/W2165437406","https://openalex.org/W2264885058","https://openalex.org/W2323236226"],"related_works":["https://openalex.org/W2164754346","https://openalex.org/W4378551200","https://openalex.org/W2610069809","https://openalex.org/W2070901360","https://openalex.org/W4405185950","https://openalex.org/W2807256486","https://openalex.org/W2391309548","https://openalex.org/W2123675486","https://openalex.org/W3036464408","https://openalex.org/W4313598581"],"abstract_inverted_index":{"In":[0,18,65],"image":[1,106],"restoration":[2],"problems,":[3],"it":[4],"is":[5,63],"reasonable":[6],"to":[7],"add":[8],"nonnegative":[9,31],"constraints":[10],"because":[11],"of":[12,16,57],"the":[13,41,47,96,111,123],"physical":[14],"meaning":[15],"images.":[17],"general,":[19],"this":[20,66,86],"problem":[21,29,39,50],"can":[22],"be":[23],"expressed":[24],"as":[25,51],"a":[26,36,55,69],"quadratic":[27],"programming":[28],"with":[30],"constraints,":[32],"which":[33],"results":[34,112],"in":[35],"linear":[37,48],"complementary":[38,49],"from":[40],"KKT":[42],"optimization":[43],"conditions.":[44],"By":[45],"reformulating":[46],"implicit":[52],"fixed-point":[53],"equations,":[54],"class":[56],"modulus-based":[58,81],"matrix":[59],"splitting":[60],"iteration":[61,77],"methods":[62,116],"established.":[64],"paper,":[67],"for":[68,79,85,95,103],"better":[70],"computational":[71],"implementation,":[72],"we":[73],"present":[74],"an":[75],"inexact":[76,87],"process":[78,88],"these":[80],"methods.":[82,127],"Convergence":[83],"properties":[84],"are":[89,99,108,117],"analyzed,":[90],"and":[91,110,119],"some":[92],"specific":[93],"implementations":[94],"inner":[97],"iterations":[98],"presented.":[100],"Numerical":[101],"experiments":[102],"nonnegatively":[104],"constrained":[105],"restorations":[107],"presented,":[109],"show":[113],"that":[114],"our":[115],"comparable":[118],"more":[120],"efficient":[121],"than":[122],"existing":[124],"projection":[125],"type":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
