{"id":"https://openalex.org/W2949069042","doi":"https://doi.org/10.1109/tip.2016.2623489","title":"Steerable Discrete Cosine Transform","display_name":"Steerable Discrete Cosine Transform","publication_year":2016,"publication_date":"2016-10-31","ids":{"openalex":"https://openalex.org/W2949069042","doi":"https://doi.org/10.1109/tip.2016.2623489","mag":"2949069042","pmid":"https://pubmed.ncbi.nlm.nih.gov/27831877"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2016.2623489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2016.2623489","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.09152","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062328236","display_name":"Giulia Fracastoro","orcid":"https://orcid.org/0000-0001-8495-1097"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giulia Fracastoro","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082948079","display_name":"Sophie M. Fosson","orcid":"https://orcid.org/0000-0003-2316-7404"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sophie M. Fosson","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034486931","display_name":"Enrico Magli","orcid":"https://orcid.org/0000-0002-0901-0251"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Polytechnic University of Turin","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrico Magli","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062328236"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":3.0503,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.9466724,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"1","first_page":"303","last_page":"314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9994999766349792,"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9994999766349792,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9972000122070312,"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/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.8787294626235962},{"id":"https://openalex.org/keywords/lapped-transform","display_name":"Lapped transform","score":0.6336725950241089},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.6073431968688965},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5680578351020813},{"id":"https://openalex.org/keywords/image-compression","display_name":"Image compression","score":0.5000832080841064},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.48721688985824585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4818200170993805},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.4772060811519623},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.47094595432281494},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.44769302010536194},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.41829192638397217},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.41639357805252075},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.4163256883621216},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.41601982712745667},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.41223621368408203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3983081579208374},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.37880486249923706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36930400133132935},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.36279237270355225},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.33034229278564453},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12174984812736511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08716940879821777}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.8787294626235962},{"id":"https://openalex.org/C91458471","wikidata":"https://www.wikidata.org/wiki/Q17096468","display_name":"Lapped transform","level":5,"score":0.6336725950241089},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.6073431968688965},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5680578351020813},{"id":"https://openalex.org/C13481523","wikidata":"https://www.wikidata.org/wiki/Q412438","display_name":"Image compression","level":4,"score":0.5000832080841064},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.48721688985824585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4818200170993805},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.4772060811519623},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.47094595432281494},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.44769302010536194},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.41829192638397217},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.41639357805252075},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.4163256883621216},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.41601982712745667},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.41223621368408203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3983081579208374},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.37880486249923706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36930400133132935},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.36279237270355225},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.33034229278564453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12174984812736511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08716940879821777},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2016.2623489","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2016.2623489","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:27831877","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/27831877","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:arXiv.org:1610.09152","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.09152","pdf_url":"https://arxiv.org/pdf/1610.09152","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.09152","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.09152","pdf_url":"https://arxiv.org/pdf/1610.09152","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4301572405","display_name":null,"funder_award_id":"279848 (CRISP Project)","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1566428659","https://openalex.org/W1578099820","https://openalex.org/W1588594383","https://openalex.org/W1838550990","https://openalex.org/W1967483773","https://openalex.org/W1980454827","https://openalex.org/W1980811840","https://openalex.org/W1992891144","https://openalex.org/W2008221957","https://openalex.org/W2018129193","https://openalex.org/W2018342351","https://openalex.org/W2031614119","https://openalex.org/W2050048686","https://openalex.org/W2050320982","https://openalex.org/W2051911829","https://openalex.org/W2062406823","https://openalex.org/W2084086197","https://openalex.org/W2099084768","https://openalex.org/W2100872602","https://openalex.org/W2101491865","https://openalex.org/W2101700394","https://openalex.org/W2114396644","https://openalex.org/W2118217749","https://openalex.org/W2120485259","https://openalex.org/W2124276741","https://openalex.org/W2128448454","https://openalex.org/W2133665775","https://openalex.org/W2133669042","https://openalex.org/W2133833176","https://openalex.org/W2134190709","https://openalex.org/W2144267444","https://openalex.org/W2144392304","https://openalex.org/W2146323064","https://openalex.org/W2154952447","https://openalex.org/W2165101139","https://openalex.org/W2169161136","https://openalex.org/W2188053801","https://openalex.org/W2276329208","https://openalex.org/W2293389097","https://openalex.org/W2294414102","https://openalex.org/W2295944595","https://openalex.org/W2399083740","https://openalex.org/W2798909945","https://openalex.org/W4247086391","https://openalex.org/W4298335083","https://openalex.org/W6652650672","https://openalex.org/W6674960107","https://openalex.org/W6679759512"],"related_works":["https://openalex.org/W2162505377","https://openalex.org/W2112852877","https://openalex.org/W2111266495","https://openalex.org/W2090071970","https://openalex.org/W2128618986","https://openalex.org/W2119239074","https://openalex.org/W2565123265","https://openalex.org/W2115252864","https://openalex.org/W2363607146","https://openalex.org/W2094583657"],"abstract_inverted_index":{"In":[0,29],"image":[1,12,79,116],"compression,":[2],"classical":[3],"block-based":[4],"separable":[5],"transforms":[6,21],"tend":[7],"to":[8,37,61,106,118],"be":[9,48,92],"inefficient":[10],"when":[11],"blocks":[13],"contain":[14],"arbitrarily":[15],"shaped":[16],"discontinuities.":[17],"For":[18],"this":[19,30,38],"reason,":[20],"incorporating":[22],"directional":[23,139],"information":[24],"are":[25],"an":[26],"appealing":[27],"alternative.":[28],"paper,":[31],"we":[32,111],"propose":[33,103],"a":[34,41,64,97,113],"new":[35],"approach":[36],"problem,":[39],"namely,":[40],"discrete":[42],"cosine":[43],"transform":[44],"(DCT)":[45],"that":[46,132],"can":[47,91],"steered":[49],"in":[50,63,77],"any":[51],"chosen":[52],"direction.":[53],"Such":[54],"transform,":[55],"called":[56],"steerable":[57],"DCT":[58,136],"(SDCT),":[59],"allows":[60],"rotate":[62],"flexible":[65],"way":[66],"pairs":[67],"of":[68,75,96],"basis":[69],"vectors,":[70],"and":[71,110,128,137],"enables":[72],"precise":[73],"matching":[74],"directionality":[76],"each":[78],"block,":[80],"achieving":[81],"improved":[82],"coding":[83],"efficiency.":[84],"The":[85],"optimal":[86],"rotation":[87],"angles":[88],"for":[89],"SDCT":[90,133],"represented":[93],"as":[94],"solution":[95],"suitable":[98],"rate-distortion":[99],"(RD)":[100],"problem.":[101],"We":[102],"iterative":[104],"methods":[105],"search":[107],"such":[108],"solution,":[109],"develop":[112],"fully":[114],"fledged":[115],"encoder":[117],"practically":[119],"compare":[120],"our":[121],"techniques":[122],"with":[123],"other":[124],"competing":[125],"transforms.":[126,140],"Analytical":[127],"numerical":[129],"results":[130],"prove":[131],"outperforms":[134],"both":[135],"state-of-the-art":[138]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
