{"id":"https://openalex.org/W2061345949","doi":"https://doi.org/10.1109/icip.2010.5651868","title":"Deblurring of irregularly sampled images by TV regularization in a spline space","display_name":"Deblurring of irregularly sampled images by TV regularization in a spline space","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2061345949","doi":"https://doi.org/10.1109/icip.2010.5651868","mag":"2061345949"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2010.5651868","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651868","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00497000","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032426541","display_name":"Andr\u00e9s Almansa","orcid":"https://orcid.org/0000-0001-8196-1329"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210105651","display_name":"Laboratoire Traitement du Signal et de l'Image","ror":"https://ror.org/01f1amm71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I154526488","https://openalex.org/I4210105651","https://openalex.org/I4210105774","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Almansa","raw_affiliation_strings":["LTCI CNRS UMR 5141, TELECOM ParisTech, France","D\u00e9partement Traitement du Signal et des Images"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LTCI CNRS UMR 5141, TELECOM ParisTech, France","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I1294671590","https://openalex.org/I12356871"]},{"raw_affiliation_string":"D\u00e9partement Traitement du Signal et des Images","institution_ids":["https://openalex.org/I4210105651"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. Caron","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210163673","display_name":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","ror":"https://ror.org/04smxbm79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. Caron","raw_affiliation_strings":["LAMFA CNRS UMR 6140, University of Picardie Jules Verne, France","Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMFA CNRS UMR 6140, University of Picardie Jules Verne, France","institution_ids":["https://openalex.org/I4210163673","https://openalex.org/I4647051","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","institution_ids":["https://openalex.org/I4210163673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013104317","display_name":"Sylvain Durand","orcid":"https://orcid.org/0000-0003-3509-6463"},"institutions":[{"id":"https://openalex.org/I110736937","display_name":"D\u00e9l\u00e9gation Paris 5","ror":"https://ror.org/02e0y6e06","country_code":"FR","type":"government","lineage":["https://openalex.org/I110736937","https://openalex.org/I154526488"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4387154995","display_name":"Math\u00e9matiques Appliqu\u00e9es \u00e0 Paris 5","ror":"https://ror.org/04yrrdj53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4387154995"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Durand","raw_affiliation_strings":["MAP5 CNRS UMR 8145, University of Paris Descartes, France","Math\u00e9matiques Appliqu\u00e9es Paris 5"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MAP5 CNRS UMR 8145, University of Paris Descartes, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590","https://openalex.org/I110736937","https://openalex.org/I4387154995"]},{"raw_affiliation_string":"Math\u00e9matiques Appliqu\u00e9es Paris 5","institution_ids":["https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1466663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":null,"first_page":"1181","last_page":"1184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991999864578247,"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":0.9066908359527588},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6667320132255554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6442775726318359},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.637251079082489},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.6167311668395996},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.573918879032135},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.4142524003982544},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.21696868538856506},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1910669207572937},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.1585710644721985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1260133683681488}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.9066908359527588},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6667320132255554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6442775726318359},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.637251079082489},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.6167311668395996},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.573918879032135},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.4142524003982544},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.21696868538856506},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1910669207572937},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.1585710644721985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1260133683681488},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icip.2010.5651868","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2010.5651868","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.402.5730","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.402.5730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/49/70/00/PDF/Irregular_sampling.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00497000v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00497000","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"(ICIP) International Conference on Image Processing, Sep 2010, Hong Kong, China. pp.1181-1184","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-00712117v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00712117","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE International Conference on Image Processing, 2010, Hong Kong SAR China","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00497000v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00497000","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"(ICIP) International Conference on Image Processing, Sep 2010, Hong Kong, China. pp.1181-1184","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1953936588","https://openalex.org/W1966394100","https://openalex.org/W2005089986","https://openalex.org/W2006262045","https://openalex.org/W2049769467","https://openalex.org/W2074214991","https://openalex.org/W2091847381","https://openalex.org/W2144185926","https://openalex.org/W2146482778","https://openalex.org/W2154625249","https://openalex.org/W6640735414"],"related_works":["https://openalex.org/W3200192952","https://openalex.org/W2062923025","https://openalex.org/W4308216825","https://openalex.org/W4312281738","https://openalex.org/W3009226622","https://openalex.org/W3015323103","https://openalex.org/W2786875726","https://openalex.org/W4287817146","https://openalex.org/W2066650801","https://openalex.org/W2489950269"],"abstract_inverted_index":{"Restoring":[0],"a":[1,50,57,62,72,108,115],"regular":[2],"image":[3,20],"from":[4],"irregular":[5],"samples":[6],"was":[7],"shown":[8,42],"feasible":[9],"via":[10],"quadratic":[11],"regularization":[12,69,125],"using":[13],"Fourier":[14,93],"and":[15,24,75,126],"spline":[16,63,116],"representations.":[17],"When":[18],"the":[19,29,83,92,100,111,134],"is":[21,27,86],"also":[22],"blurred":[23,84],"noisy":[25],"(as":[26],"usually":[28],"case":[30,85],"in":[31,91,96],"satellite":[32],"imaging)":[33],"\u2113":[34],"<sup":[35],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[37],"regularizers":[38],"(like":[39],"TV)":[40],"were":[41],"most":[43],"effective,":[44],"but":[45],"their":[46],"Fourier-domain":[47],"implementation":[48],"has":[49],"prohibitive":[51],"computational":[52,140],"cost.":[53],"We":[54],"present":[55],"here":[56],"new":[58],"method":[59,132],"that":[60,130],"combines":[61],"representation":[64],"(for":[65],"speed)":[66],"with":[67,123,137],"TV":[68],"to":[70,82,98,103],"obtain":[71],"more":[73],"accurate":[74],"good-quality":[76],"restored":[77],"image.":[78],"Extending":[79],"this":[80],"approach":[81],"not":[87],"as":[88,90],"trivial":[89],"representation.":[94],"Indeed,":[95],"order":[97],"avoid":[99],"sampling":[101],"operator":[102,113],"lose":[104],"its":[105],"sparse":[106],"structure,":[107],"projection":[109],"of":[110,136],"convolution":[112],"on":[114],"space":[117],"becomes":[118],"necessary.":[119],"Extensive":[120],"experimental":[121],"results":[122],"automatic":[124],"stopping":[127],"criteria":[128],"show":[129],"our":[131],"achieves":[133],"accuracy":[135],"much":[138],"less":[139],"cost,":[141],"closer":[142],"to.":[143]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
