{"id":"https://openalex.org/W2111127729","doi":"https://doi.org/10.1142/s0219691315500174","title":"Constructing totally interpolating wavelet frame systems","display_name":"Constructing totally interpolating wavelet frame systems","publication_year":2015,"publication_date":"2015-04-09","ids":{"openalex":"https://openalex.org/W2111127729","doi":"https://doi.org/10.1142/s0219691315500174","mag":"2111127729"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691315500174","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691315500174","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/A5103162735","display_name":"Baobin Li","orcid":"https://orcid.org/0000-0001-5828-9976"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baobin Li","raw_affiliation_strings":["School of Computer and Control, University of Chinese Academy of Sciences, Beijing 100190, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Control, University of Chinese Academy of Sciences, Beijing 100190, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103162735"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09910074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"03","first_page":"1550017","last_page":"1550017"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994000196456909,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9814000129699707,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9387000203132629,"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/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.7439988255500793},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6907175779342651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6022557616233826},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.5819644927978516},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.57222580909729},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.508300244808197},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.504911482334137},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4699074625968933},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.44720378518104553},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4362448453903198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3988259732723236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3488457202911377},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3469322919845581},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31526291370391846},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16540342569351196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15224787592887878},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10658341646194458},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10314282774925232},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09715265035629272}],"concepts":[{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.7439988255500793},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6907175779342651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6022557616233826},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5819644927978516},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.57222580909729},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.508300244808197},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.504911482334137},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4699074625968933},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.44720378518104553},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4362448453903198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3988259732723236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3488457202911377},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3469322919845581},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31526291370391846},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16540342569351196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15224787592887878},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10658341646194458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10314282774925232},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09715265035629272},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691315500174","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691315500174","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326972","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W76406933","https://openalex.org/W85052446","https://openalex.org/W968309638","https://openalex.org/W1587379027","https://openalex.org/W1969844730","https://openalex.org/W1971328463","https://openalex.org/W1972025497","https://openalex.org/W1981926741","https://openalex.org/W1983772857","https://openalex.org/W1985738912","https://openalex.org/W2002917479","https://openalex.org/W2022586806","https://openalex.org/W2060032816","https://openalex.org/W2062308863","https://openalex.org/W2084633773","https://openalex.org/W2100653569","https://openalex.org/W2102602136","https://openalex.org/W2106105934","https://openalex.org/W2110708515","https://openalex.org/W2117006828","https://openalex.org/W2121134999","https://openalex.org/W2125555749","https://openalex.org/W2134770491","https://openalex.org/W2137516589","https://openalex.org/W2153254081","https://openalex.org/W2159579975","https://openalex.org/W4247014094","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W1968494762","https://openalex.org/W2527696949","https://openalex.org/W2153421756","https://openalex.org/W2075821346","https://openalex.org/W4239315977","https://openalex.org/W2077818434","https://openalex.org/W2054489697","https://openalex.org/W2385749544","https://openalex.org/W2908259647","https://openalex.org/W2085315802"],"abstract_inverted_index":{"The":[0],"system":[1],"of":[2,20,40,81],"totally":[3,67],"interpolating":[4,68],"wavelet":[5,21],"frames":[6,95],"is":[7,43,62],"discussed":[8],"in":[9,12,73,92],"this":[10],"paper,":[11],"which":[13,91],"both":[14],"the":[15,34,38,57,63,74,97],"scaling":[16],"function":[17],"and":[18,37,70,89],"one":[19,65],"functions":[22],"are":[23],"interpolating.":[24],"It":[25],"will":[26],"be":[27,87],"shown":[28],"that":[29,48],"corresponding":[30],"filter":[31,41],"banks":[32,42],"possess":[33],"special":[35],"structure,":[36],"parametrization":[39],"present.":[44],"Moreover,":[45],"we":[46],"show":[47],"when":[49],"considering":[50],"tight":[51,60],"frame":[52,61,76],"systems":[53],"with":[54,66,83,96],"two":[55],"generators,":[56],"Ron\u2013Shen's":[58],"continuous-linear-spline-based":[59],"only":[64],"property":[69,85],"symmetry.":[71,99],"But":[72],"dual":[75],"context,":[77],"more":[78],"good":[79],"examples":[80],"bi-frames":[82],"symmetric/antisymmetric":[84],"can":[86],"obtained":[88],"constructed,":[90],"particular,":[93],"include":[94],"uniform":[98]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}