{"id":"https://openalex.org/W4291984299","doi":"https://doi.org/10.1137/21m144904x","title":"$L_1$-Norm Regularization for Short-and-Sparse Blind Deconvolution: Point Source Separability and Region Selection","display_name":"$L_1$-Norm Regularization for Short-and-Sparse Blind Deconvolution: Point Source Separability and Region Selection","publication_year":2022,"publication_date":"2022-08-16","ids":{"openalex":"https://openalex.org/W4291984299","doi":"https://doi.org/10.1137/21m144904x"},"language":"en","primary_location":{"id":"doi:10.1137/21m144904x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m144904x","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/A5101598070","display_name":"Weixi Wang","orcid":"https://orcid.org/0000-0002-9941-7556"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weixi Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100421180","display_name":"Ji Li","orcid":"https://orcid.org/0000-0003-4699-084X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ji Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030046423","display_name":"Hui Ji","orcid":"https://orcid.org/0000-0002-1674-6056"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hui Ji","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1674-6056","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5873,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.65929952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"15","issue":"3","first_page":"1345","last_page":"1372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/deblurring","display_name":"Deblurring","score":0.9497002959251404},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.856390118598938},{"id":"https://openalex.org/keywords/blind-deconvolution","display_name":"Blind deconvolution","score":0.79619300365448},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5969265699386597},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5924777984619141},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5864888429641724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5377099514007568},{"id":"https://openalex.org/keywords/latent-image","display_name":"Latent image","score":0.5297157764434814},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5081851482391357},{"id":"https://openalex.org/keywords/kernel-density-estimation","display_name":"Kernel density estimation","score":0.4751167893409729},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.365291953086853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28768613934516907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27687856554985046},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.2601390480995178},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2290157973766327},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18004781007766724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07059165835380554}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.9497002959251404},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.856390118598938},{"id":"https://openalex.org/C30044814","wikidata":"https://www.wikidata.org/wiki/Q11334452","display_name":"Blind deconvolution","level":3,"score":0.79619300365448},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5969265699386597},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5924777984619141},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5864888429641724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5377099514007568},{"id":"https://openalex.org/C205372313","wikidata":"https://www.wikidata.org/wiki/Q355645","display_name":"Latent image","level":3,"score":0.5297157764434814},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5081851482391357},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.4751167893409729},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.365291953086853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28768613934516907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27687856554985046},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2601390480995178},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2290157973766327},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18004781007766724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07059165835380554},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m144904x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m144904x","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":[],"awards":[{"id":"https://openalex.org/G253669251","display_name":null,"funder_award_id":"R146000229114","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"}],"funders":[{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1598281290","https://openalex.org/W1969390260","https://openalex.org/W1970109241","https://openalex.org/W1975009407","https://openalex.org/W1976730913","https://openalex.org/W1987075379","https://openalex.org/W1996287810","https://openalex.org/W2009501432","https://openalex.org/W2019877871","https://openalex.org/W2027231794","https://openalex.org/W2036682493","https://openalex.org/W2081385919","https://openalex.org/W2092663520","https://openalex.org/W2098535678","https://openalex.org/W2102019642","https://openalex.org/W2103913786","https://openalex.org/W2109357213","https://openalex.org/W2119667497","https://openalex.org/W2120991191","https://openalex.org/W2129732816","https://openalex.org/W2138204001","https://openalex.org/W2140867429","https://openalex.org/W2161804069","https://openalex.org/W2171664034","https://openalex.org/W2346276594","https://openalex.org/W2472069500","https://openalex.org/W2745949522","https://openalex.org/W2895692022","https://openalex.org/W2963731874","https://openalex.org/W2964036861","https://openalex.org/W2967273822"],"related_works":["https://openalex.org/W199374452","https://openalex.org/W1504464002","https://openalex.org/W2269775642","https://openalex.org/W3207832039","https://openalex.org/W2599471666","https://openalex.org/W2183873055","https://openalex.org/W2548825171","https://openalex.org/W4296437961","https://openalex.org/W2575237940","https://openalex.org/W2572649260"],"abstract_inverted_index":{"Blind":[0],"deconvolution":[1,18,56],"is":[2,31,37,80,178,210,217],"about":[3],"estimating":[4,183],"both":[5],"the":[6,10,26,34,41,58,92,98,107,110,120,129,139,142,149,159,167,172,184,187,190,196],"convolution":[7],"kernel":[8,35,93,185],"and":[9,33,122],"latent":[11,99,173],"signal":[12,27,42,146],"from":[13],"their":[14],"convolution.":[15],"Many":[16],"blind":[17,55,88,134,214,221],"problems":[19],"have":[20,48],"a":[21,153,179],"short-and-sparse":[22],"(SaS)":[23],"structure;":[24],"i.e.,":[25,165],"(or":[28],"its":[29,227],"gradient)":[30],"sparse":[32],"size":[36],"much":[38],"smaller":[39],"than":[40,186],"size.":[43],"While":[44],"$\\ell_1$-norm":[45,69,125,232],"relating":[46,70,126,233],"regularizations":[47,71],"been":[49],"widely":[50],"used":[51],"for":[52,182,212],"solving":[53],"SaS":[54,87,133,213],"problems,":[57],"so-called":[59],"region/edge":[60,78],"selection":[61,79,163,208],"technique":[62],"brings":[63],"great":[64],"empirical":[65],"improvement":[66],"to":[67,220],"such":[68,152],"in":[72,128,199],"image":[73,100,103,174],"deblurring.":[74,223],"The":[75,136,155,224],"essence":[76],"of":[77,86,97,106,124,131,141,144,151,161,171],"during":[81,166],"an":[82,95,169,202],"alternative":[83],"iterative":[84,204],"scheme":[85,205],"deconvolution:":[89],"one":[90,108,188],"estimates":[91],"on":[94,195],"estimate":[96,170],"with":[101,109,175,189,206],"well-separated":[102,176],"edges":[104,177],"instead":[105],"least":[111,191],"fitting":[112,192],"error.":[113,193],"In":[114],"this":[115,200],"paper,":[116,201],"we":[117],"first":[118],"examine":[119],"validity":[121],"soundness":[123,150],"regularization":[127],"setting":[130],"1D":[132],"deconvolution.":[135],"analysis":[137],"reveals":[138],"importance":[140],"separation":[143],"nonzero":[145],"entries":[147],"toward":[148],"regularization.":[154],"studies":[156,197],"laid":[157],"out":[158],"foundation":[160],"region":[162,207],"technique;":[164],"iteration,":[168],"better":[180],"candidate":[181],"Based":[194],"conducted":[198],"alternating":[203],"model":[209],"developed":[211],"deconvolution,":[215],"which":[216],"then":[218],"applied":[219],"motion":[222],"experiments":[225],"show":[226],"effectiveness":[228],"over":[229],"many":[230],"existing":[231],"approaches.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}