{"id":"https://openalex.org/W2002715729","doi":"https://doi.org/10.1109/bicta.2010.5645155","title":"Application of Toeplitz matrix in image restoration","display_name":"Application of Toeplitz matrix in image restoration","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2002715729","doi":"https://doi.org/10.1109/bicta.2010.5645155","mag":"2002715729"},"language":"en","primary_location":{"id":"doi:10.1109/bicta.2010.5645155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bicta.2010.5645155","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)","raw_type":"proceedings-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/A5112225964","display_name":"Hua Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu Hua","raw_affiliation_strings":["Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","institution_ids":["https://openalex.org/I2800710378"]},{"raw_affiliation_string":"Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101573934","display_name":"Wenquan Wu","orcid":"https://orcid.org/0000-0002-7565-9569"},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Wen-Quan","raw_affiliation_strings":["Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","institution_ids":["https://openalex.org/I2800710378"]},{"raw_affiliation_string":"Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China","institution_ids":["https://openalex.org/I2800710378"]}]},{"author_position":"last","author":{"id":null,"display_name":"Liu Zhong","orcid":null},"institutions":[{"id":"https://openalex.org/I2800710378","display_name":"Naval University of Engineering","ror":"https://ror.org/056vyez31","country_code":"CN","type":"education","lineage":["https://openalex.org/I2800710378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Zhong","raw_affiliation_strings":["Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Command Automation, Naval Univ. of Engineering, Wuhan, P. R. China","institution_ids":["https://openalex.org/I2800710378"]},{"raw_affiliation_string":"Dept. of Command Automation, Faculty of Electrical Engineering, Naval Univ. of Engineering, No 717 Liberation Road, Wuhan, China","institution_ids":["https://openalex.org/I2800710378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112225964"],"corresponding_institution_ids":["https://openalex.org/I2800710378"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.09055392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"13","issue":null,"first_page":"1240","last_page":"1244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983000159263611,"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":0.9983000159263611,"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":0.9959999918937683,"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/T11698","display_name":"Underwater Acoustics Research","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7131343483924866},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.6337029337882996},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5168774127960205},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5063444375991821},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.46777644753456116},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4410550594329834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43466001749038696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4112972021102905},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3971785008907318},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3145419955253601},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.24381279945373535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12672793865203857}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7131343483924866},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.6337029337882996},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5168774127960205},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5063444375991821},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.46777644753456116},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4410550594329834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43466001749038696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4112972021102905},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3971785008907318},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3145419955253601},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.24381279945373535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12672793865203857},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bicta.2010.5645155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bicta.2010.5645155","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W151604921","https://openalex.org/W1844965864","https://openalex.org/W1976201229","https://openalex.org/W1996736088","https://openalex.org/W2029301183","https://openalex.org/W2031767704","https://openalex.org/W2031933981","https://openalex.org/W2032690136","https://openalex.org/W2033332370","https://openalex.org/W2041103874","https://openalex.org/W2046382938","https://openalex.org/W2049026388","https://openalex.org/W2058715873","https://openalex.org/W2064984296","https://openalex.org/W2109004302","https://openalex.org/W2149403542","https://openalex.org/W2150060382","https://openalex.org/W6681837585"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1604903594","https://openalex.org/W2974904990","https://openalex.org/W2365681766","https://openalex.org/W2393963626"],"abstract_inverted_index":{"In":[0],"the":[1,26,36,40,45,50,56,67,70],"paper,":[2],"an":[3],"image":[4,17,27,38],"degradation":[5],"process":[6,29],"is":[7,30,48,52],"considered":[8],"as":[9],"equivalent":[10,31],"to":[11,32,34],"a":[12,60],"linear":[13],"transformation":[14],"of":[15,59,69],"original":[16,37],"matrix":[18,58],"processed":[19],"by":[20],"transfer":[21,46],"function":[22,47],"and":[23,72],"noise,":[24],"while":[25],"restoration":[28],"trying":[33],"get":[35],"using":[39],"least":[41],"squares":[42],"method.":[43],"When":[44],"separable,":[49],"problem":[51],"transformed":[53],"into":[54],"finding":[55],"inverse":[57],"Toeplitz":[61],"matrix.":[62],"The":[63],"simulation":[64],"results":[65],"verify":[66],"validity":[68],"method":[71],"analyze":[73],"its":[74],"numerical":[75],"stability.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2016-06-24T00:00:00"}