{"id":"https://openalex.org/W2105884433","doi":"https://doi.org/10.1109/tip.2014.2303638","title":"Progressive Image Denoising Through Hybrid Graph Laplacian Regularization: A Unified Framework","display_name":"Progressive Image Denoising Through Hybrid Graph Laplacian Regularization: A Unified Framework","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2105884433","doi":"https://doi.org/10.1109/tip.2014.2303638","mag":"2105884433","pmid":"https://pubmed.ncbi.nlm.nih.gov/24565791"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2014.2303638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2303638","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","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/A5100654390","display_name":"Xianming Liu","orcid":"https://orcid.org/0000-0002-8857-1785"},"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":true,"raw_author_name":"Xianming Liu","raw_affiliation_strings":["Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086046733","display_name":"Deming Zhai","orcid":"https://orcid.org/0000-0001-8346-9127"},"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":"Deming Zhai","raw_affiliation_strings":["Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100600353","display_name":"Debin Zhao","orcid":"https://orcid.org/0000-0003-3434-9967"},"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":"Debin Zhao","raw_affiliation_strings":["Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064168853","display_name":"Guangtao Zhai","orcid":"https://orcid.org/0000-0001-8165-9322"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangtao Zhai","raw_affiliation_strings":["Shanghai Jiao Tong University, Institute of Image Communication and Information Processing, Shanghai, China","Inst. of Image Commun. & Inf. Process., Shanghai Jiao Tong Univ., Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University, Institute of Image Communication and Information Processing, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Inst. of Image Commun. & Inf. Process., Shanghai Jiao Tong Univ., Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018478553","display_name":"Wen Gao","orcid":"https://orcid.org/0000-0002-8070-802X"},"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":"Wen Gao","raw_affiliation_strings":["Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","School of Computer science and technology, Harbin Institute of Technology, Harbin, China"],"affiliations":[{"raw_affiliation_string":"Harbin Institute of Technology, School of Computer Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"School of Computer science and technology, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100654390"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":9.409,"has_fulltext":false,"cited_by_count":123,"citation_normalized_percentile":{"value":0.98529942,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"23","issue":"4","first_page":"1491","last_page":"1503"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9993000030517578,"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/laplacian-matrix","display_name":"Laplacian matrix","score":0.6103845238685608},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5543413758277893},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5518449544906616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.527616024017334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5256292223930359},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5015556812286377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46761760115623474},{"id":"https://openalex.org/keywords/scale-space","display_name":"Scale space","score":0.44971829652786255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3990951180458069},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3482980728149414},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.317111074924469},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08521801233291626}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.6103845238685608},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5543413758277893},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5518449544906616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.527616024017334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5256292223930359},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5015556812286377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46761760115623474},{"id":"https://openalex.org/C99102927","wikidata":"https://www.wikidata.org/wiki/Q3058184","display_name":"Scale space","level":4,"score":0.44971829652786255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3990951180458069},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3482980728149414},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.317111074924469},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08521801233291626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2014.2303638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2014.2303638","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:24565791","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24565791","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 image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3468311210","display_name":null,"funder_award_id":"61272386","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3578975039","display_name":null,"funder_award_id":"61371146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G632448438","display_name":null,"funder_award_id":"61300110","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/F4320325571","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W228380312","https://openalex.org/W1480782025","https://openalex.org/W1998419211","https://openalex.org/W2006262236","https://openalex.org/W2017399967","https://openalex.org/W2032916342","https://openalex.org/W2042755403","https://openalex.org/W2064198448","https://openalex.org/W2067290341","https://openalex.org/W2087401054","https://openalex.org/W2088032561","https://openalex.org/W2099244020","https://openalex.org/W2101491865","https://openalex.org/W2104290444","https://openalex.org/W2110061212","https://openalex.org/W2112104211","https://openalex.org/W2124378283","https://openalex.org/W2132382511","https://openalex.org/W2136504847","https://openalex.org/W2147155457","https://openalex.org/W2148358298","https://openalex.org/W2152714163","https://openalex.org/W2155055620","https://openalex.org/W2156600062","https://openalex.org/W2158162781","https://openalex.org/W2164893552","https://openalex.org/W2169467627","https://openalex.org/W2169733476"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W2000451122","https://openalex.org/W4321440274","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W4244587941"],"abstract_inverted_index":{"Recovering":[0],"images":[1,226],"from":[2,54,180],"corrupted":[3],"observations":[4],"is":[5,84,114,128,153,176],"necessary":[6],"for":[7,134],"many":[8],"real-world":[9],"applications.":[10],"In":[11,107,185],"this":[12,108,186],"paper,":[13],"we":[14],"propose":[15],"a":[16,34,75,131,136,156],"unified":[17],"framework":[18],"to":[19,56,155,165,182],"perform":[20],"progressive":[21],"image":[22,40,49,104,196,215],"recovery":[23,216],"based":[24],"on":[25,93,212,223],"hybrid":[26],"graph":[27,76],"Laplacian":[28,42,77],"regularized":[29],"regression.":[30],"We":[31,208],"first":[32],"construct":[33],"multiscale":[35],"representation":[36],"of":[37,102,139],"the":[38,47,51,60,89,94,99,103,110,124,140,143,150,167,172,188,229],"target":[39],"by":[41,81],"pyramid,":[43],"then":[44],"progressively":[45],"recover":[46],"degraded":[48],"in":[50,170,205],"scale":[52],"space":[53,160],"coarse":[55],"fine":[57],"so":[58],"that":[59,228],"sharp":[61],"edges":[62],"and":[63,97,120,123,178,194,198],"texture":[64],"can":[65],"be":[66],"eventually":[67],"recovered.":[68],"On":[69,142],"one":[70,213],"hand,":[71,145],"within":[72],"each":[73],"scale,":[74],"regularization":[78],"model":[79,152],"represented":[80],"implicit":[82],"kernel":[83,163],"learned,":[85],"which":[86,171,200],"simultaneously":[87],"minimizes":[88],"least":[90],"square":[91],"error":[92],"measured":[95,119],"samples":[96],"preserves":[98],"geometrical":[100],"structure":[101,113,174],"data":[105],"space.":[106],"procedure,":[109],"intrinsic":[111],"manifold":[112],"explicitly":[115],"considered":[116],"using":[117],"both":[118],"unmeasured":[121],"samples,":[122],"nonlocal":[125],"self-similarity":[126],"property":[127],"utilized":[129],"as":[130],"fruitful":[132],"resource":[133],"abstracting":[135],"priori":[137],"knowledge":[138],"images.":[141],"other":[144],"between":[146],"two":[147],"successive":[148],"scales,":[149],"proposed":[151,189,230],"extended":[154],"projected":[157],"high-dimensional":[158],"feature":[159],"through":[161],"explicit":[162],"mapping":[164],"describe":[166],"interscale":[168],"correlation,":[169],"local":[173],"regularity":[175],"learned":[177],"propagated":[179],"coarser":[181],"finer":[183],"scales.":[184],"way,":[187],"algorithm":[190,211],"gradually":[191],"recovers":[192],"more":[193,195],"details":[197],"edges,":[199],"could":[201],"not":[202],"been":[203],"recovered":[204],"previous":[206],"scale.":[207],"test":[209,225],"our":[210],"typical":[214],"task:":[217],"impulse":[218],"noise":[219],"removal.":[220],"Experimental":[221],"results":[222],"benchmark":[224],"demonstrate":[227],"method":[231],"achieves":[232],"better":[233],"performance":[234],"than":[235],"state-of-the-art":[236],"algorithms.":[237]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":5}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}
