{"id":"https://openalex.org/W2105250210","doi":"https://doi.org/10.1002/scj.4690240607","title":"Optimum image restoration filters and generalized inverses of operators","display_name":"Optimum image restoration filters and generalized inverses of operators","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W2105250210","doi":"https://doi.org/10.1002/scj.4690240607","mag":"2105250210"},"language":"en","primary_location":{"id":"doi:10.1002/scj.4690240607","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690240607","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/A5091563396","display_name":"Yukihiko Yamashita","orcid":"https://orcid.org/0000-0002-9757-3117"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]},{"id":"https://openalex.org/I16718484","display_name":"Hess (United States)","ror":"https://ror.org/00zbk1w77","country_code":"US","type":"company","lineage":["https://openalex.org/I16718484"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Yukihiko Yamashita","raw_affiliation_strings":["Faculty of Engineering, Tokyo Institute of Technology, Tokyo. Japan 152","Yukihiko Yamashita received a B.E. and an M.E. from Tokyo Institute of Technology in 1983 and 1985, respectively. From 1985 to 1988 he was with the Japan Atomic Energy Research Institute and from 1988 to 1989 he was with the ISAC Corporation. In 1989 he joined the faculty of the Tokyo Institute of Technology, where he is now a researcher in the Department of Computer Science. His research interests include image processing. Mr. Yamashita is a member of the Institute of Electronics, Information, and Communication Engineers of Japan, the Information Processing Society of Japan, and the Audio Visual Information Research Group of Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Tokyo Institute of Technology, Tokyo. Japan 152","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Yukihiko Yamashita received a B.E. and an M.E. from Tokyo Institute of Technology in 1983 and 1985, respectively. From 1985 to 1988 he was with the Japan Atomic Energy Research Institute and from 1988 to 1989 he was with the ISAC Corporation. In 1989 he joined the faculty of the Tokyo Institute of Technology, where he is now a researcher in the Department of Computer Science. His research interests include image processing. Mr. Yamashita is a member of the Institute of Electronics, Information, and Communication Engineers of Japan, the Information Processing Society of Japan, and the Audio Visual Information Research Group of Japan","institution_ids":["https://openalex.org/I16718484"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103962675","display_name":"Hidemitsu Ogawa","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]},{"id":"https://openalex.org/I4210131479","display_name":"Electrotechnical Institute","ror":"https://ror.org/03f5avr03","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210131479"]}],"countries":["JP","PL"],"is_corresponding":false,"raw_author_name":"Hidemitsu Ogawa","raw_affiliation_strings":["Faculty of Engineering, Tokyo Institute of Technology, Tokyo. Japan 152","Hidemitsu Ogawa received a B.E. and a Dr. of Eng. degree from Tokyo Institute of Technology in 1965 and 1977, respectively. From 1965 to 1972 he was with the Electrotechnical Laboratory, and in 1972 he joined the faculty of the Tokyo Institute of Technology where he is now professor in the Department of Computer Science. During the academic year 1984- 1985 he was Visiting Professor in the Department of Technical Physics at Helsinki University of Technology, Finland. His research interests include pattern recognition, neural networks, and image processing. He received the Yonezawa Memorial Award in 1969 and Paper Awards in 1976, 1985, and 1990 from the Institute of Electronics. Dr. Ogawa is a member of the Institute of Electronics, Information, and Communication Engineers of Japan (IEICE), the Information Processing Society of Japan, the Japan Society of Medical Electronics and Biological Engineering, the Japan Association for Philosophy of Science, and the IEEE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Tokyo Institute of Technology, Tokyo. Japan 152","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Hidemitsu Ogawa received a B.E. and a Dr. of Eng. degree from Tokyo Institute of Technology in 1965 and 1977, respectively. From 1965 to 1972 he was with the Electrotechnical Laboratory, and in 1972 he joined the faculty of the Tokyo Institute of Technology where he is now professor in the Department of Computer Science. During the academic year 1984- 1985 he was Visiting Professor in the Department of Technical Physics at Helsinki University of Technology, Finland. His research interests include pattern recognition, neural networks, and image processing. He received the Yonezawa Memorial Award in 1969 and Paper Awards in 1976, 1985, and 1990 from the Institute of Electronics. Dr. Ogawa is a member of the Institute of Electronics, Information, and Communication Engineers of Japan (IEICE), the Information Processing Society of Japan, the Japan Society of Medical Electronics and Biological Engineering, the Japan Association for Philosophy of Science, and the IEEE","institution_ids":["https://openalex.org/I4210131479"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5647,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73520789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"6","first_page":"72","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9973000288009644,"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":0.9973000288009644,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9973000288009644,"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":0.9865000247955322,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7479212284088135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7070881724357605},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.701995849609375},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6936345100402832},{"id":"https://openalex.org/keywords/wiener-filter","display_name":"Wiener filter","score":0.6199133396148682},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5871270298957825},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5860505104064941},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5357751846313477},{"id":"https://openalex.org/keywords/inverse-filter","display_name":"Inverse filter","score":0.4966352581977844},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.45498764514923096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43156546354293823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36944103240966797},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.30577021837234497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2529670000076294},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2504984140396118},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.24149706959724426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1141166090965271}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7479212284088135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7070881724357605},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.701995849609375},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6936345100402832},{"id":"https://openalex.org/C18537770","wikidata":"https://www.wikidata.org/wiki/Q25523","display_name":"Wiener filter","level":2,"score":0.6199133396148682},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5871270298957825},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5860505104064941},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5357751846313477},{"id":"https://openalex.org/C2779948431","wikidata":"https://www.wikidata.org/wiki/Q17092649","display_name":"Inverse filter","level":3,"score":0.4966352581977844},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.45498764514923096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43156546354293823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36944103240966797},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30577021837234497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2529670000076294},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2504984140396118},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.24149706959724426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1141166090965271},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/scj.4690240607","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690240607","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":[{"display_name":"Sustainable cities and communities","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W961140972","https://openalex.org/W1972974128","https://openalex.org/W1985762611","https://openalex.org/W2015904187","https://openalex.org/W2055576996","https://openalex.org/W2068842398","https://openalex.org/W2124812606","https://openalex.org/W2143591723","https://openalex.org/W2163198865","https://openalex.org/W2165410914","https://openalex.org/W2468103904","https://openalex.org/W3022082562","https://openalex.org/W4214680697"],"related_works":["https://openalex.org/W2276822462","https://openalex.org/W2804237704","https://openalex.org/W2369650530","https://openalex.org/W2386806647","https://openalex.org/W1979809469","https://openalex.org/W1995402494","https://openalex.org/W2373809449","https://openalex.org/W2973107327","https://openalex.org/W2366375867","https://openalex.org/W1979147520"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"optimal":[2,23,40,69,82],"restoration":[3,7,25,42],"filter":[4,8,62,66,109],"is":[5,15,47,77,84,99,103],"a":[6,18,112],"which":[9],"meets":[10],"some":[11,72],"optimization":[12],"criterion.":[13],"It":[14],"known":[16],"that":[17,79,81],"close":[19],"relationship":[20],"exists":[21],"between":[22],"image":[24,41,89,94],"filters":[26,43],"and":[27,44,63],"generalized":[28,45,113],"inverses":[29],"of":[30,38],"operators.":[31],"By":[32],"clarifying":[33],"this":[34],"relationship,":[35],"the":[36,52,56,60,87,92,96,107],"understanding":[37],"both":[39],"inverse":[46],"deepened.":[48],"This":[49],"paper":[50],"clarifies":[51],"following":[53],"points":[54],"concerning":[55],"aforementioned":[57],"relationship.":[58],"First,":[59],"projection":[61,65],"averaged":[64],"satisfy":[67],"an":[68],"criterion":[70,83],"in":[71,86],"restricted":[73],"subspace.":[74],"Furthermore,":[75],"it":[76,102],"shown":[78,104],"whether":[80],"evaluated":[85],"original":[88],"space":[90],"or":[91],"observed":[93],"space,":[95],"same":[97],"result":[98],"achieved.":[100],"Finally,":[101],"clearly":[105],"how":[106],"Wiener":[108],"behaves":[110],"as":[111],"inverse.":[114]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
