{"id":"https://openalex.org/W1987280365","doi":"https://doi.org/10.1142/s0219691307001896","title":"SYMMETRIC INTERPOLATORY FRAMELETS AND THEIR ERASURE RECOVERY PROPERTIES","display_name":"SYMMETRIC INTERPOLATORY FRAMELETS AND THEIR ERASURE RECOVERY PROPERTIES","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W1987280365","doi":"https://doi.org/10.1142/s0219691307001896","mag":"1987280365"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691307001896","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001896","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5007893403","display_name":"Ofer Amrani","orcid":"https://orcid.org/0000-0003-3144-8994"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"OFER AMRANI","raw_affiliation_strings":["Department of Electrical Engineering-Systems, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080836593","display_name":"Amir Averbuch","orcid":"https://orcid.org/0000-0001-8177-235X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"AMIR AVERBUCH","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111831739","display_name":"Tamir Cohen","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"TAMIR COHEN","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064235058","display_name":"Valery A. Zheludev","orcid":"https://orcid.org/0000-0002-4606-2114"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"VALERY A. ZHELUDEV","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.6476,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70039933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"05","issue":"04","first_page":"541","last_page":"566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.8586273193359375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6307697296142578},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5160776972770691},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5112590789794922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4737299978733063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45079898834228516},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4205326735973358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32337427139282227},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1358945667743683}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.8586273193359375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6307697296142578},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5160776972770691},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5112590789794922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4737299978733063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45079898834228516},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4205326735973358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32337427139282227},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1358945667743683},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0219691307001896","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691307001896","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.334.4671","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.334.4671","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~amir1/PS/ErasMA11.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.335.3982","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.335.3982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~zhel/PS/ErasMA1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W85052446","https://openalex.org/W578830356","https://openalex.org/W1766888123","https://openalex.org/W1965097372","https://openalex.org/W1966245736","https://openalex.org/W1980415630","https://openalex.org/W1982061533","https://openalex.org/W1983772857","https://openalex.org/W1995875735","https://openalex.org/W2079326290","https://openalex.org/W2097938951","https://openalex.org/W2103880866","https://openalex.org/W2108148759","https://openalex.org/W2108943734","https://openalex.org/W2115104320","https://openalex.org/W2116701188","https://openalex.org/W2118799423","https://openalex.org/W2128765501","https://openalex.org/W2134524318","https://openalex.org/W2134750078","https://openalex.org/W2135761745","https://openalex.org/W2136307214","https://openalex.org/W2148877501","https://openalex.org/W2153254081","https://openalex.org/W4247014094","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2072016134","https://openalex.org/W2351168932","https://openalex.org/W2465690287","https://openalex.org/W2376389741","https://openalex.org/W2108143034","https://openalex.org/W1997850251","https://openalex.org/W2084549431","https://openalex.org/W913430005","https://openalex.org/W1509695971","https://openalex.org/W1985021129"],"abstract_inverted_index":{"A":[0],"new":[1],"class":[2],"of":[3,63,78,91],"wavelet-type":[4],"frames":[5],"in":[6,51],"signal":[7],"space":[8],"that":[9],"uses":[10],"(anti)symmetric":[11],"waveforms":[12],"is":[13,100],"presented.":[14],"The":[15,72],"construction":[16],"employs":[17],"interpolatory":[18],"filters":[19,25],"with":[20,102],"rational":[21],"transfer":[22],"functions.":[23],"These":[24],"have":[26],"linear":[27],"phase.":[28],"They":[29],"are":[30,44,67],"amenable":[31],"either":[32,68],"to":[33],"fast":[34],"cascading":[35],"or":[36,70],"parallel":[37],"recursive":[38],"implementation.":[39],"Robust":[40],"error":[41,97],"recovery":[42,98],"algorithms":[43],"developed":[45],"by":[46],"utilizing":[47],"the":[48,64,76,79,92,95],"redundancy":[49],"inherent":[50],"frame":[52],"expansions.":[53],"Experimental":[54],"results":[55],"recover":[56],"images":[57],"when":[58],"(as":[59],"much":[60],"as)":[61],"60%":[62],"expansion":[65,83],"coefficients":[66],"lost":[69],"corrupted.":[71],"proposed":[73],"approach":[74],"inflates":[75],"size":[77],"image":[80],"through":[81],"framelet":[82],"and":[84],"multilevel":[85],"decomposition":[86],"thus":[87],"providing":[88],"redundant":[89],"representation":[90],"image.":[93],"Finally,":[94],"frame-based":[96],"algorithm":[99],"compared":[101],"a":[103],"classical":[104],"coding":[105],"approach.":[106]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}