{"id":"https://openalex.org/W2073079401","doi":"https://doi.org/10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","title":"Evaluation of optimum image restoration filters by perturbation of a degradation operator","display_name":"Evaluation of optimum image restoration filters by perturbation of a degradation operator","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W2073079401","doi":"https://doi.org/10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","mag":"2073079401"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","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/A5077220801","display_name":"Hideyuki Imai","orcid":"https://orcid.org/0000-0002-3793-1146"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hideyuki Imai","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105269463","display_name":"Akira Tanaka","orcid":"https://orcid.org/0000-0003-0055-8234"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Tanaka","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060354017","display_name":"Masaaki Miyakoshi","orcid":null},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Miyakoshi","raw_affiliation_strings":["Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Hokkaido University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Faculty of Engineering, Hokkaido, University, Sapporo, Japan 060","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077220801"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23510695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"8","first_page":"25","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9925000071525574,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/operator","display_name":"Operator (biology)","score":0.7106151580810547},{"id":"https://openalex.org/keywords/covariance-operator","display_name":"Covariance operator","score":0.6801815032958984},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.6746511459350586},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6324213743209839},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.5863257646560669},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5129570364952087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49895191192626953},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.46715062856674194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4354710280895233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4271962642669678},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4030422270298004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3863600194454193},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36986279487609863},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.30844569206237793},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2558911144733429},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.24263685941696167},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11116117238998413},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06730923056602478}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7106151580810547},{"id":"https://openalex.org/C103692563","wikidata":"https://www.wikidata.org/wiki/Q5178900","display_name":"Covariance operator","level":3,"score":0.6801815032958984},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.6746511459350586},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6324213743209839},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.5863257646560669},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5129570364952087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49895191192626953},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.46715062856674194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4354710280895233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4271962642669678},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4030422270298004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3863600194454193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36986279487609863},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30844569206237793},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2558911144733429},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.24263685941696167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11116117238998413},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06730923056602478},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1520-684x(199708)28:8<25::aid-scj4>3.0.co;2-n","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W139710177","https://openalex.org/W1972974128","https://openalex.org/W2051933044","https://openalex.org/W2057176614","https://openalex.org/W2066938397","https://openalex.org/W2105250210","https://openalex.org/W2124812606","https://openalex.org/W2143591723","https://openalex.org/W2163198865","https://openalex.org/W2165410914","https://openalex.org/W2333670361","https://openalex.org/W2421376830","https://openalex.org/W2468103904","https://openalex.org/W2797638056","https://openalex.org/W3145497163","https://openalex.org/W6605649519","https://openalex.org/W6643875466","https://openalex.org/W6667247032","https://openalex.org/W6675844269","https://openalex.org/W6678541206","https://openalex.org/W6680955069","https://openalex.org/W6684444467"],"related_works":["https://openalex.org/W2357322570","https://openalex.org/W90581812","https://openalex.org/W2997591215","https://openalex.org/W2227541280","https://openalex.org/W2038232617","https://openalex.org/W2974904990","https://openalex.org/W2029783634","https://openalex.org/W3119293823","https://openalex.org/W3082556931","https://openalex.org/W2037082055"],"abstract_inverted_index":{"The":[0],"image":[1],"restoration":[2,19,88],"problem":[3],"may":[4],"be":[5],"considered":[6],"in":[7],"the":[8,17,35,53,57,66,86],"framework":[9],"of":[10,23,31,83,94],"Hilbert":[11],"space.":[12],"In":[13,33,69],"such":[14,47],"a":[15,24,28,48,75,81,95],"framework,":[16],"optimal":[18,87],"filter":[20,89],"is":[21,38,90,107],"made":[22],"degradation":[25,36,49,96],"operator":[26,30,37,50],"and":[27],"covariance":[29],"noise.":[32],"practice,":[34],"determined":[39],"by":[40,92],"experimental":[41],"knowledge.":[42],"Unfortunately,":[43],"it":[44],"happens":[45],"that":[46,104],"differs":[51],"from":[52],"true":[54],"one.":[55],"Thus,":[56],"discrepancy":[58],"between":[59],"these":[60],"operators":[61],"has":[62],"essential":[63],"effects":[64],"on":[65],"restored":[67],"image.":[68],"this":[70],"paper,":[71],"confining":[72],"ourselves":[73],"to":[74,102],"real-valued":[76],"finite-dimensional":[77],"space,":[78],"we":[79],"present":[80],"method":[82],"evaluating":[84],"how":[85],"affected":[91],"perturbation":[93],"operator.":[97],"Some":[98],"numerical":[99],"examples":[100],"follow":[101],"confirm":[103],"our":[105],"description":[106],"valid.":[108],"\u00a9":[109],"1997":[110,119],"Scripta":[111],"Technica,":[112],"Inc.":[113],"Syst":[114],"Comp":[115],"Jpn,":[116],"28(8):":[117],"25\u201332,":[118]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}