{"id":"https://openalex.org/W4312834523","doi":"https://doi.org/10.1109/tcyb.2022.3225525","title":"Impulse Noise Image Restoration Using Nonconvex Variational Model and Difference of Convex Functions Algorithm","display_name":"Impulse Noise Image Restoration Using Nonconvex Variational Model and Difference of Convex Functions Algorithm","publication_year":2022,"publication_date":"2022-12-15","ids":{"openalex":"https://openalex.org/W4312834523","doi":"https://doi.org/10.1109/tcyb.2022.3225525","pmid":"https://pubmed.ncbi.nlm.nih.gov/37015679"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2022.3225525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3225525","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5028952297","display_name":"Benxin Zhang","orcid":"https://orcid.org/0000-0002-9591-8513"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Benxin Zhang","raw_affiliation_strings":["School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":"https://orcid.org/0000-0002-9591-8513","affiliations":[{"raw_affiliation_string":"School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091556887","display_name":"Guopu Zhu","orcid":"https://orcid.org/0000-0001-7956-5343"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guopu Zhu","raw_affiliation_strings":["School of Cyberspace Security, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-7956-5343","affiliations":[{"raw_affiliation_string":"School of Cyberspace Security, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065131815","display_name":"Zhibin Zhu","orcid":"https://orcid.org/0000-0002-9929-8163"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhibin Zhu","raw_affiliation_strings":["School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China"],"raw_orcid":"https://orcid.org/0000-0002-9929-8163","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100417312","display_name":"Hongli Zhang","orcid":"https://orcid.org/0000-0002-8167-7106"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongli Zhang","raw_affiliation_strings":["School of Cyberspace Security, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-8167-7106","affiliations":[{"raw_affiliation_string":"School of Cyberspace Security, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009595085","display_name":"Yicong Zhou","orcid":"https://orcid.org/0000-0002-4487-6384"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yicong Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China"],"raw_orcid":"https://orcid.org/0000-0002-4487-6384","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008386708","display_name":"Sam Kwong","orcid":"https://orcid.org/0000-0001-7484-7261"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Sam Kwong","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0001-7484-7261","affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1111,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73109324,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"54","issue":"4","first_page":"2257","last_page":"2270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9995999932289124,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9991000294685364,"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/impulse-noise","display_name":"Impulse noise","score":0.7760841250419617},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.5898923873901367},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5510797500610352},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5398117899894714},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5294567942619324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5137618780136108},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.513717532157898},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4561859667301178},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4432174861431122},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4361482262611389},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40426650643348694},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.3365671634674072},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2101832628250122},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19929125905036926},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.17450103163719177}],"concepts":[{"id":"https://openalex.org/C127372701","wikidata":"https://www.wikidata.org/wiki/Q16979398","display_name":"Impulse noise","level":3,"score":0.7760841250419617},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.5898923873901367},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5510797500610352},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5398117899894714},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5294567942619324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5137618780136108},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.513717532157898},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4561859667301178},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4432174861431122},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4361482262611389},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40426650643348694},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.3365671634674072},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2101832628250122},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19929125905036926},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.17450103163719177},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2022.3225525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3225525","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:37015679","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37015679","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 cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1638665907","display_name":null,"funder_award_id":"MYRG2022-00072-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G2060695898","display_name":null,"funder_award_id":"62172402","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G213747559","display_name":null,"funder_award_id":"9042958 (CityU 11203820)","funder_id":"https://openalex.org/F4320321019","funder_display_name":"University Grants Committee"},{"id":"https://openalex.org/G3171208677","display_name":null,"funder_award_id":"FRFCU5710011322","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3989040700","display_name":null,"funder_award_id":"9042816 (CityU 11209819)","funder_id":"https://openalex.org/F4320321019","funder_display_name":"University Grants Committee"},{"id":"https://openalex.org/G4013069200","display_name":"\u975e\u5149\u6ed1\u7a00\u758f\u4f18\u5316\u95ee\u9898\u7684\u5feb\u901f\u7b97\u6cd5\u4e0e\u5e94\u7528\u7814\u7a76","funder_award_id":"61967004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4169049969","display_name":null,"funder_award_id":"2022YFB3102900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7809598670","display_name":"\u56fe\u50cf\u9510\u5316\u68c0\u6d4b\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61872350","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8046333569","display_name":null,"funder_award_id":"11901137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321019","display_name":"University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320321920","display_name":"Innovation and Technology Commission","ror":"https://ror.org/04vf9tr09"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1758610246","https://openalex.org/W1965125844","https://openalex.org/W1979072167","https://openalex.org/W2008473145","https://openalex.org/W2033603511","https://openalex.org/W2065030431","https://openalex.org/W2087670913","https://openalex.org/W2092663520","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2118427319","https://openalex.org/W2133665775","https://openalex.org/W2163232332","https://openalex.org/W2166956514","https://openalex.org/W2435347668","https://openalex.org/W2588776893","https://openalex.org/W2605217922","https://openalex.org/W2757057438","https://openalex.org/W2763531044","https://openalex.org/W2784638391","https://openalex.org/W2808596234","https://openalex.org/W2935891649","https://openalex.org/W2963108975","https://openalex.org/W2975941751","https://openalex.org/W2998072663","https://openalex.org/W3003455566","https://openalex.org/W3021985989","https://openalex.org/W3098306969","https://openalex.org/W3105393233","https://openalex.org/W3118456158","https://openalex.org/W3133237820","https://openalex.org/W3152356279","https://openalex.org/W3199991419","https://openalex.org/W4200598251","https://openalex.org/W4292363360","https://openalex.org/W6684416548"],"related_works":["https://openalex.org/W2354855219","https://openalex.org/W1582240042","https://openalex.org/W1539575243","https://openalex.org/W2379773606","https://openalex.org/W2357322570","https://openalex.org/W2090383508","https://openalex.org/W2006843870","https://openalex.org/W1602455006","https://openalex.org/W2114485777","https://openalex.org/W2109920143"],"abstract_inverted_index":{"In":[0,52,79],"this":[1,46],"article,":[2],"the":[3,54,97,103,110,117,121,131,138,149,165,169,175,179,188],"problem":[4],"of":[5,85,109,156,187],"impulse":[6,17,77,127],"noise":[7,18,128],"image":[8],"restoration":[9],"is":[10,19,73,135,141,145,160,199],"investigated.":[11],"A":[12,153],"typical":[13],"way":[14,47,132],"to":[15,20,65,76,81,115,163,183],"eliminate":[16,116],"use":[21],"an":[22],"<inline-formula":[23,55],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[25,57],"<tex-math":[26,58],"notation=\"LaTeX\">$L_{1}$</tex-math>":[27,59],"</inline-formula>":[28,60],"norm":[29,61],"data":[30,70,99,140],"fitting":[31,62,100],"term":[32,63,101,124],"and":[33,68,72,102,201],"a":[34,40,83,91,184],"total":[35],"variation":[36],"(TV)":[37],"regularization.":[38,106],"However,":[39],"convex":[41,157],"optimization":[42],"method":[43],"designed":[44],"in":[45,130],"always":[48],"yields":[49],"staircase":[50,118],"artifacts.":[51,119],"addition,":[53],"tends":[64],"penalize":[66],"corrupted":[67,151],"noise-free":[69],"equally,":[71],"not":[74],"robust":[75],"noise.":[78],"order":[80],"seek":[82],"solution":[84],"high":[86],"recovery":[87],"quality,":[88],"we":[89,172],"propose":[90],"new":[92],"variational":[93,166,170],"model":[94],"that":[95,133,174,195],"integrates":[96],"nonconvex":[98,104,111,122,189],"TV":[105,112],"The":[107],"usage":[108],"regularizer":[113],"helps":[114],"Moreover,":[120],"fidelity":[123],"can":[125],"detect":[126],"effectively":[129],"it":[134],"enforced":[136,147],"when":[137],"observed":[139],"slightly":[142],"corrupted,":[143],"while":[144],"less":[146],"for":[148],"severely":[150],"pixels.":[152],"novel":[154],"difference":[155],"functions":[158],"algorithm":[159,181,198],"also":[161],"developed":[162],"solve":[164],"model.":[167],"Using":[168],"method,":[171],"prove":[173],"sequence":[176],"generated":[177],"by":[178],"proposed":[180,197],"converges":[182],"stationary":[185],"point":[186],"objective":[190],"function.":[191],"Experimental":[192],"results":[193],"show":[194],"our":[196],"efficient":[200],"compares":[202],"favorably":[203],"with":[204],"state-of-the-art":[205],"methods.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
