{"id":"https://openalex.org/W4417037689","doi":"https://doi.org/10.1007/s10915-025-03137-z","title":"Kernel FISTA and Application to Image Deblurring","display_name":"Kernel FISTA and Application to Image Deblurring","publication_year":2025,"publication_date":"2025-12-05","ids":{"openalex":"https://openalex.org/W4417037689","doi":"https://doi.org/10.1007/s10915-025-03137-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-025-03137-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03137-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03137-z.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03137-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016953971","display_name":"Te Qi","orcid":"https://orcid.org/0000-0002-4713-4095"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Te Qi","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116337662","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0001-5219-6242"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100455064","display_name":"Zeyu Li","orcid":"https://orcid.org/0000-0002-2961-5565"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zeyu Li","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085166013","display_name":"Yingying Fang","orcid":"https://orcid.org/0000-0001-6334-8635"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yingying Fang","raw_affiliation_strings":["Department of Bioengineering, Imperial College, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Bioengineering, Imperial College, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059443966","display_name":"Tieyong Zeng","orcid":"https://orcid.org/0000-0002-0688-202X"},"institutions":[{"id":"https://openalex.org/I12615008","display_name":"Beijing Normal-Hong Kong Baptist University","ror":"https://ror.org/04snvc712","country_code":"CN","type":"education","lineage":["https://openalex.org/I12615008"]},{"id":"https://openalex.org/I141568987","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131","country_code":"HK","type":"education","lineage":["https://openalex.org/I141568987"]},{"id":"https://openalex.org/I4210103346","display_name":"Nanfang Hospital","ror":"https://ror.org/01eq10738","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210103346"]},{"id":"https://openalex.org/I4210137766","display_name":"Institute for Advanced Study","ror":"https://ror.org/03xg85719","country_code":"DE","type":"facility","lineage":["https://openalex.org/I4210137766"]}],"countries":["CN","DE","HK"],"is_corresponding":false,"raw_author_name":"Tieyong Zeng","raw_affiliation_strings":["Institute for Advanced Study, Beijing Normal University-Hong Kong Baptist University, Zhuhai, China","School of Mathematics and Statistics, Guangzhou Nanfang College, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0688-202X","affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Beijing Normal University-Hong Kong Baptist University, Zhuhai, China","institution_ids":["https://openalex.org/I141568987","https://openalex.org/I12615008","https://openalex.org/I4210137766"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Guangzhou Nanfang College, Guangzhou, China","institution_ids":["https://openalex.org/I4210103346"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5016953971"],"corresponding_institution_ids":["https://openalex.org/I177725633"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37776991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"106","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.5109000205993652,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.5109000205993652,"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":0.3012000024318695,"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":0.10400000214576721,"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/deblurring","display_name":"Deblurring","score":0.9814000129699707},{"id":"https://openalex.org/keywords/moore\u2013penrose-pseudoinverse","display_name":"Moore\u2013Penrose pseudoinverse","score":0.7357000112533569},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7141000032424927},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5618000030517578},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46709999442100525},{"id":"https://openalex.org/keywords/image-denoising","display_name":"Image denoising","score":0.44679999351501465},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.39480000734329224},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.35359999537467957}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.9814000129699707},{"id":"https://openalex.org/C21556879","wikidata":"https://www.wikidata.org/wiki/Q43219517","display_name":"Moore\u2013Penrose pseudoinverse","level":3,"score":0.7357000112533569},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7141000032424927},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5618000030517578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5412999987602234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5080999732017517},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46709999442100525},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4641000032424927},{"id":"https://openalex.org/C2983327147","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Image denoising","level":3,"score":0.44679999351501465},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.39480000734329224},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.35359999537467957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35030001401901245},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.34619998931884766},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.3280999958515167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.313400000333786},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.3075000047683716},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.302700012922287},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.2809000015258789},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2791000008583069},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.27799999713897705},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.2644999921321869}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-025-03137-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03137-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03137-z.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10915-025-03137-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-025-03137-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-025-03137-z.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1511753128","display_name":null,"funder_award_id":"2021YFE020370","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320320955","display_name":"Hong Kong Baptist University","ror":"https://ror.org/0145fw131"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417037689.pdf","grobid_xml":"https://content.openalex.org/works/W4417037689.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1579559187","https://openalex.org/W1850691639","https://openalex.org/W1972406935","https://openalex.org/W1989425544","https://openalex.org/W2021535288","https://openalex.org/W2045079045","https://openalex.org/W2060945009","https://openalex.org/W2064355846","https://openalex.org/W2092663520","https://openalex.org/W2096450582","https://openalex.org/W2100556411","https://openalex.org/W2103559027","https://openalex.org/W2103913786","https://openalex.org/W2171618086","https://openalex.org/W2244987555","https://openalex.org/W2316833336","https://openalex.org/W2625685405","https://openalex.org/W2901790120","https://openalex.org/W2911458804","https://openalex.org/W2968891210","https://openalex.org/W2997665396","https://openalex.org/W3020737992","https://openalex.org/W3047238636","https://openalex.org/W3090525462","https://openalex.org/W3147200328","https://openalex.org/W3157027302","https://openalex.org/W3171406516","https://openalex.org/W4214891964","https://openalex.org/W4229828140","https://openalex.org/W4241368925","https://openalex.org/W4254971495","https://openalex.org/W4288038760","https://openalex.org/W4307686123","https://openalex.org/W4312258136","https://openalex.org/W4392972757","https://openalex.org/W4395047196"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Image":[1,124],"deblurring":[2],"is":[3,24,71,92,96,106],"a":[4,25,53,72,114,121,146],"challenging":[5],"inverse":[6],"problem":[7],"due":[8],"to":[9,14,57,151],"its":[10,30,79,177],"ill-posed":[11],"nature,":[12],"leading":[13],"various":[15],"strategies":[16],"for":[17,29,78,99,176],"enhancing":[18],"stability.":[19],"The":[20,65],"Rudin-Osher-Fatemi":[21],"(ROF)":[22],"model":[23,60,91],"seminal":[26],"framework":[27],"recognized":[28],"effectiveness":[31,86,163],"in":[32,81,87,168],"image":[33,169],"denoising":[34],"and":[35,49,137,171],"deblurring,":[36,170],"inspiring":[37],"numerous":[38],"variational":[39],"techniques.":[40],"Despite":[41],"existing":[42],"approaches":[43],"focusing":[44],"on":[45],"solving":[46,88],"analysis-based,":[47],"synthesis-based,":[48],"balanced":[50],"models,":[51],"achieving":[52,140],"more":[54,147],"accurate":[55,148],"solution":[56],"the":[58,89,103,152,162,165],"ROF":[59,90],"remains":[61],"an":[62],"open":[63],"question.":[64],"Fast":[66],"Iterative":[67],"Shrinkage-Thresholding":[68],"Algorithm":[69],"(FISTA)":[70],"widely":[73],"applied":[74],"numerical":[75,149],"algorithm":[76],"known":[77],"efficiency":[80],"large-scale":[82],"optimization.":[83],"However,":[84],"FISTA\u2019s":[85],"constrained":[93],"because":[94],"it":[95],"primarily":[97],"designed":[98],"synthesis":[100],"models":[101],"when":[102],"sparsifying":[104],"transform":[105],"orthonormal.":[107],"To":[108],"overcome":[109],"this":[110],"limitation,":[111],"we":[112,172],"propose":[113],"novel":[115],"Kernel":[116],"FISTA":[117],"(K-FISTA),":[118],"integrated":[119],"with":[120],"structured":[122],"Pseudoinverse":[123],"Formulation":[125],"(PIF)":[126],"model.":[127],"In":[128],"practice,":[129],"our":[130],"approach":[131],"outperforms":[132],"classical":[133],"methods":[134],"like":[135],"ADMM":[136],"sPADMM":[138],"by":[139],"lower":[141],"final":[142],"energy":[143],"values,":[144],"offering":[145],"approximation":[150],"common":[153],"minimizer":[154],"while":[155],"maintaining":[156],"fast":[157],"convergence.":[158,178],"Extensive":[159],"experiments":[160],"validate":[161],"of":[164],"K-FISTA":[166],"method":[167],"provide":[173],"theoretical":[174],"guarantees":[175]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-12-05T00:00:00"}
