{"id":"https://openalex.org/W2064506125","doi":"https://doi.org/10.1007/s10444-011-9232-1","title":"An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients","display_name":"An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients","publication_year":2011,"publication_date":"2011-10-04","ids":{"openalex":"https://openalex.org/W2064506125","doi":"https://doi.org/10.1007/s10444-011-9232-1","mag":"2064506125"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-011-9232-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9232-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5055776599","display_name":"Lasha Ephremidze","orcid":"https://orcid.org/0000-0002-1000-3841"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. Ephremidze","raw_affiliation_strings":["A. Razmadze Mathematical Institute, University Street, Tbilisi, 0143, Georgia","A. Razmadze Mathematical Institute, Tbilisi, Georgia 0143#TAB#"],"affiliations":[{"raw_affiliation_string":"A. Razmadze Mathematical Institute, University Street, Tbilisi, 0143, Georgia","institution_ids":[]},{"raw_affiliation_string":"A. Razmadze Mathematical Institute, Tbilisi, Georgia 0143#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049719945","display_name":"Alexander Gamkrelidze","orcid":null},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"A. Gamkrelidze","raw_affiliation_strings":["I. Javakhishvili State University, University Street, Tbilisi, 0143, Georgia","I. Javakhishvili State University, Tbilisi, Georgia 0143#TAB#"],"affiliations":[{"raw_affiliation_string":"I. Javakhishvili State University, University Street, Tbilisi, 0143, Georgia","institution_ids":["https://openalex.org/I102808428"]},{"raw_affiliation_string":"I. Javakhishvili State University, Tbilisi, Georgia 0143#TAB#","institution_ids":["https://openalex.org/I102808428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089856883","display_name":"Edem Lagvilava","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E. Lagvilava","raw_affiliation_strings":["A. Razmadze Mathematical Institute, University Street, Tbilisi, 0143, Georgia","A. Razmadze Mathematical Institute, Tbilisi, Georgia 0143#TAB#"],"affiliations":[{"raw_affiliation_string":"A. Razmadze Mathematical Institute, University Street, Tbilisi, 0143, Georgia","institution_ids":[]},{"raw_affiliation_string":"A. Razmadze Mathematical Institute, Tbilisi, Georgia 0143#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055776599"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7851,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"1","first_page":"147","last_page":"158"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/wavelet","display_name":"Wavelet","score":0.7697727680206299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7332569360733032},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.5506998300552368},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.515291690826416},{"id":"https://openalex.org/keywords/daubechies-wavelet","display_name":"Daubechies wavelet","score":0.456853449344635},{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.4429216980934143},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.42084968090057373},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3717001676559448},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36105406284332275},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.3313024938106537},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.3301176428794861},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15759843587875366},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07512202858924866}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7697727680206299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7332569360733032},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.5506998300552368},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.515291690826416},{"id":"https://openalex.org/C2779855323","wikidata":"https://www.wikidata.org/wiki/Q1172774","display_name":"Daubechies wavelet","level":5,"score":0.456853449344635},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.4429216980934143},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.42084968090057373},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3717001676559448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36105406284332275},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3313024938106537},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.3301176428794861},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15759843587875366},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07512202858924866},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-011-9232-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-011-9232-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322899","display_name":"Georgian National Science Foundation","ror":"https://ror.org/00xc87681"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1039479379","https://openalex.org/W2062024414","https://openalex.org/W2076870022","https://openalex.org/W2087081164","https://openalex.org/W2098914003","https://openalex.org/W2115755118","https://openalex.org/W2115910815","https://openalex.org/W3000113561","https://openalex.org/W4240770664","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2344136760","https://openalex.org/W2085792030","https://openalex.org/W2593382871","https://openalex.org/W1588899229","https://openalex.org/W2173526700","https://openalex.org/W2501033992","https://openalex.org/W2023142747","https://openalex.org/W2172291505","https://openalex.org/W2070903877","https://openalex.org/W2063036707"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}