{"id":"https://openalex.org/W2010084630","doi":"https://doi.org/10.1137/050636024","title":"Improvement of Space-Invariant Image Deblurring by Preconditioned Landweber Iterations","display_name":"Improvement of Space-Invariant Image Deblurring by Preconditioned Landweber Iterations","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2010084630","doi":"https://doi.org/10.1137/050636024","mag":"2010084630"},"language":"en","primary_location":{"id":"doi:10.1137/050636024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636024","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11383/1719849","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021465084","display_name":"Paola Brianzi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paola Brianzi","raw_affiliation_strings":["brianzi@dima.unige.it#TAB#"],"affiliations":[{"raw_affiliation_string":"brianzi@dima.unige.it#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068149479","display_name":"Fabio Di Benedetto","orcid":"https://orcid.org/0000-0002-2463-3086"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fabio Di Benedetto","raw_affiliation_strings":["dibenede@dima.unige.it#TAB#"],"affiliations":[{"raw_affiliation_string":"dibenede@dima.unige.it#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060137921","display_name":"Claudio Estatico","orcid":"https://orcid.org/0000-0003-0948-6687"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Claudio Estatico","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021465084"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0648,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.78700136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"3","first_page":"1430","last_page":"1458"},"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":0.9997000098228455,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/deblurring","display_name":"Deblurring","score":0.984775185585022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7870527505874634},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6669657230377197},{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.5939775705337524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4765739440917969},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4764699935913086},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4653488099575043},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45449817180633545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44811680912971497},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3749435842037201},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.3503122329711914},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3275170624256134},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3205462396144867},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20194396376609802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19627243280410767}],"concepts":[{"id":"https://openalex.org/C2777693668","wikidata":"https://www.wikidata.org/wiki/Q25053743","display_name":"Deblurring","level":5,"score":0.984775185585022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7870527505874634},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6669657230377197},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.5939775705337524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4765739440917969},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4764699935913086},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4653488099575043},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45449817180633545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44811680912971497},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3749435842037201},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.3503122329711914},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3275170624256134},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3205462396144867},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20194396376609802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19627243280410767},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/050636024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636024","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/1719849","is_oa":true,"landing_page_url":"http://hdl.handle.net/11383/1719849","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unige.it:11567/225769","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/225769","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:irinsubria.uninsubria.it:11383/1719849","is_oa":true,"landing_page_url":"http://hdl.handle.net/11383/1719849","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W72955407","https://openalex.org/W114314968","https://openalex.org/W1507705802","https://openalex.org/W1514248469","https://openalex.org/W1533471646","https://openalex.org/W1570089119","https://openalex.org/W1968195594","https://openalex.org/W1981952777","https://openalex.org/W1986757336","https://openalex.org/W1989436614","https://openalex.org/W2001944359","https://openalex.org/W2005836623","https://openalex.org/W2016834185","https://openalex.org/W2017732348","https://openalex.org/W2019065055","https://openalex.org/W2020584829","https://openalex.org/W2025799417","https://openalex.org/W2025959788","https://openalex.org/W2029848460","https://openalex.org/W2032658142","https://openalex.org/W2036513962","https://openalex.org/W2039466093","https://openalex.org/W2058784008","https://openalex.org/W2062037984","https://openalex.org/W2072003303","https://openalex.org/W2073835183","https://openalex.org/W2074397823","https://openalex.org/W2080097309","https://openalex.org/W2081500313","https://openalex.org/W2081917971","https://openalex.org/W2089598668","https://openalex.org/W2089742104","https://openalex.org/W2095359242","https://openalex.org/W2138245427","https://openalex.org/W2145217688","https://openalex.org/W2147512138","https://openalex.org/W3046265042"],"related_works":["https://openalex.org/W2031788393","https://openalex.org/W791927757","https://openalex.org/W2008686286","https://openalex.org/W2182590612","https://openalex.org/W2066650801","https://openalex.org/W2905397092","https://openalex.org/W3153582293","https://openalex.org/W2269775642","https://openalex.org/W3080537281","https://openalex.org/W2289746762"],"abstract_inverted_index":{"The":[0],"Landweber":[1],"method":[2,19,51],"is":[3,20,72],"a":[4],"simple":[5],"and":[6,54],"flexible":[7],"iterative":[8],"regularization":[9],"algorithm,&#13;\\nwhose":[10],"projected":[11],"variant":[12],"provides":[13],"nonnegative":[14],"image":[15],"reconstructions.":[16],"Since":[17],"the":[18,28,38,50],"usually":[21],"very&#13;\\nslow,":[22],"we":[23],"apply":[24],"circulant":[25],"preconditioners,":[26],"exploiting":[27],"shift":[29],"invariance":[30],"of":[31,70],"many":[32],"deblurring":[33],"problems,&#13;\\nin":[34],"order":[35],"to":[36,64],"accelerate":[37],"convergence.":[39],"This":[40],"way":[41],"reasonable":[42],"reconstructions":[43],"can":[44],"be":[45],"obtained":[46],"within&#13;\\na":[47],"few":[48],"iterations;":[49],"becomes":[52],"competitive":[53],"more":[55],"robust":[56],"than":[57],"other":[58],"approaches":[59],"that,&#13;\\nalthough":[60],"faster,":[61],"sometimes":[62],"lead":[63],"lower":[65],"accuracy.":[66],"Some":[67],"theoretical":[68],"analysis":[69],"convergence":[71],"given,&#13;\\ntogether":[73],"with":[74],"numerical":[75],"validations.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-06T13:50:29.536080","created_date":"2025-10-10T00:00:00"}
