{"id":"https://openalex.org/W4211130299","doi":"https://doi.org/10.1109/access.2022.3151058","title":"Directional Analytic Discrete Cosine Frames","display_name":"Directional Analytic Discrete Cosine Frames","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4211130299","doi":"https://doi.org/10.1109/access.2022.3151058"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3151058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3151058","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09712286.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09712286.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070866771","display_name":"Seisuke Kyochi","orcid":"https://orcid.org/0000-0002-2383-0176"},"institutions":[{"id":"https://openalex.org/I116465919","display_name":"Kogakuin University","ror":"https://ror.org/01wc2tq75","country_code":"JP","type":"education","lineage":["https://openalex.org/I116465919"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Seisuke Kyochi","raw_affiliation_strings":["Kogakuin University, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2383-0176","affiliations":[{"raw_affiliation_string":"Kogakuin University, Tokyo, Japan","institution_ids":["https://openalex.org/I116465919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083646987","display_name":"Taizo Suzuki","orcid":"https://orcid.org/0000-0002-9943-679X"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Taizo Suzuki","raw_affiliation_strings":["Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan"],"raw_orcid":"https://orcid.org/0000-0002-9943-679X","affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007311789","display_name":"Yuichi Tanaka","orcid":"https://orcid.org/0000-0003-4010-3154"},"institutions":[{"id":"https://openalex.org/I92614990","display_name":"Tokyo University of Agriculture and Technology","ror":"https://ror.org/00qg0kr10","country_code":"JP","type":"education","lineage":["https://openalex.org/I92614990"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuichi Tanaka","raw_affiliation_strings":["Tokyo University of Agriculture and Technology, Koganei, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0003-4010-3154","affiliations":[{"raw_affiliation_string":"Tokyo University of Agriculture and Technology, Koganei, Tokyo, Japan","institution_ids":["https://openalex.org/I92614990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0812,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.29418611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"20964","last_page":"20977"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9990000128746033,"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":0.9990000128746033,"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/T11569","display_name":"Optical Coherence Tomography Applications","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.9025986194610596},{"id":"https://openalex.org/keywords/lapped-transform","display_name":"Lapped transform","score":0.7090693116188049},{"id":"https://openalex.org/keywords/discrete-sine-transform","display_name":"Discrete sine transform","score":0.6590994596481323},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.5634011626243591},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5227875113487244},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5090160369873047},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.5052095055580139},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4961477220058441},{"id":"https://openalex.org/keywords/parsevals-theorem","display_name":"Parseval's theorem","score":0.47583889961242676},{"id":"https://openalex.org/keywords/sine-and-cosine-transforms","display_name":"Sine and cosine transforms","score":0.4216327667236328},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4174419641494751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4145273268222809},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31583818793296814},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.30308037996292114},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.22533687949180603},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.17360621690750122},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.10498559474945068}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.9025986194610596},{"id":"https://openalex.org/C91458471","wikidata":"https://www.wikidata.org/wiki/Q17096468","display_name":"Lapped transform","level":5,"score":0.7090693116188049},{"id":"https://openalex.org/C167058841","wikidata":"https://www.wikidata.org/wiki/Q971039","display_name":"Discrete sine transform","level":5,"score":0.6590994596481323},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.5634011626243591},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5227875113487244},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5090160369873047},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.5052095055580139},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4961477220058441},{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.47583889961242676},{"id":"https://openalex.org/C47615080","wikidata":"https://www.wikidata.org/wiki/Q1328722","display_name":"Sine and cosine transforms","level":5,"score":0.4216327667236328},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4174419641494751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4145273268222809},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31583818793296814},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.30308037996292114},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.22533687949180603},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.17360621690750122},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.10498559474945068},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3151058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3151058","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09712286.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:658b9a8bd919450c9200f1424517fb1b","is_oa":true,"landing_page_url":"https://doaj.org/article/658b9a8bd919450c9200f1424517fb1b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 20964-20977 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3151058","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3151058","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09712286.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2312213412","display_name":"Sparse coding with signal processing on graphs","funder_award_id":"16H04362","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5480500786","display_name":"Prior learning by deep epigraphical network and its application to rare imaging","funder_award_id":"21K04045","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7149646596","display_name":"High-performance video integrated coding using high-order variable lifting structure","funder_award_id":"16K18100","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4211130299.pdf","grobid_xml":"https://content.openalex.org/works/W4211130299.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1975754844","https://openalex.org/W1983396674","https://openalex.org/W1994281301","https://openalex.org/W1998991750","https://openalex.org/W2014241727","https://openalex.org/W2018332268","https://openalex.org/W2027579212","https://openalex.org/W2041950721","https://openalex.org/W2044810215","https://openalex.org/W2061171222","https://openalex.org/W2062005868","https://openalex.org/W2073930611","https://openalex.org/W2082473969","https://openalex.org/W2097061348","https://openalex.org/W2103875222","https://openalex.org/W2104262387","https://openalex.org/W2112615758","https://openalex.org/W2113638462","https://openalex.org/W2114423093","https://openalex.org/W2115032519","https://openalex.org/W2117853853","https://openalex.org/W2118469745","https://openalex.org/W2123031198","https://openalex.org/W2132680427","https://openalex.org/W2133833176","https://openalex.org/W2138692623","https://openalex.org/W2146395539","https://openalex.org/W2149548037","https://openalex.org/W2154952447","https://openalex.org/W2160547390","https://openalex.org/W2169095149","https://openalex.org/W2239029867","https://openalex.org/W2594569625","https://openalex.org/W2617543657","https://openalex.org/W2767346191","https://openalex.org/W3202918664","https://openalex.org/W3216957337","https://openalex.org/W4205213118","https://openalex.org/W4210665207","https://openalex.org/W4229650096","https://openalex.org/W4235713725","https://openalex.org/W4254546220","https://openalex.org/W4302067267","https://openalex.org/W4388392666"],"related_works":["https://openalex.org/W2090071970","https://openalex.org/W2022872995","https://openalex.org/W2128618986","https://openalex.org/W2946386739","https://openalex.org/W2148433847","https://openalex.org/W2041761445","https://openalex.org/W2767346191","https://openalex.org/W2183552140","https://openalex.org/W2086393337","https://openalex.org/W2386058502"],"abstract_inverted_index":{"Block":[0],"frames":[1,140],"calleddirectional":[2],"analytic":[3],"discrete":[4,55,60],"cosine":[5,56],"frames(DADCFs)":[6],"are":[7,40],"proposed":[8,20],"for":[9,43,111],"sparse":[10],"image":[11,46,112,161],"representation.":[12],"In":[13],"contrast":[14],"to":[15,100,148],"conventional":[16,156],"overlapped":[17],"frames,":[18],"the":[19,78,96],"DADCFs":[21,52,115,151],"require":[22],"a":[23,108],"reduced":[24],"amount":[25],"of":[26,73],"1)":[27],"computational":[28],"complexity,":[29],"2)":[30],"memory":[31,36],"usage,":[32],"and":[33,59,75,93,126,152],"3)":[34],"global":[35],"access.":[37],"These":[38],"characteristics":[39,123],"strongly":[41],"required":[42],"current":[44],"high-resolution":[45],"processing.":[47,113],"Specifically,":[48],"we":[49],"propose":[50],"two":[51],"based":[53,90],"on":[54,91],"transform":[57,62,143],"(DCT)":[58],"sine":[61],"(DST).":[63],"The":[64,84],"first":[65],"DADCF":[66,86],"is":[67,80,87,98,107],"constructed":[68],"from":[69],"parallel":[70],"separable":[71],"transforms":[72,159],"DCT":[74,92],"DST,":[76,94],"where":[77],"DST":[79,97],"permuted":[81],"by":[82],"row.":[83],"second":[85],"also":[88],"designed":[89],"while":[95],"customized":[99],"have":[101,116],"no":[102],"DC":[103],"leakage":[104],"property":[105,110],"which":[106],"desirable":[109],"Both":[114],"rich":[117],"directional":[118,157],"selectivity":[119],"with":[120,141,155],"slightly":[121],"different":[122],"each":[124],"other":[125],"they":[127,136],"can":[128],"be":[129],"implemented":[130],"as":[131],"non-overlapping":[132],"block-based":[133],"transforms,":[134],"especially":[135],"form":[137],"Parseval":[138],"block":[139,158],"low":[142],"redundancy.":[144],"We":[145],"perform":[146],"experiments":[147],"evaluate":[149],"our":[150],"compare":[153],"them":[154],"in":[160],"recovery.":[162]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}