{"id":"https://openalex.org/W2035620061","doi":"https://doi.org/10.1145/1050330.1050349","title":"Invariant spaces and cosine transforms DCT - 2 and DCT - 6","display_name":"Invariant spaces and cosine transforms DCT - 2 and DCT - 6","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2035620061","doi":"https://doi.org/10.1145/1050330.1050349","mag":"2035620061"},"language":"en","primary_location":{"id":"doi:10.1145/1050330.1050349","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1050330.1050349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th international conference on Computer systems and technologies - CompSysTech '04","raw_type":"proceedings-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/A5027354043","display_name":"Bozhan Zhechev","orcid":null},"institutions":[{"id":"https://openalex.org/I4210144519","display_name":"Institute of Communication and Computer Systems","ror":"https://ror.org/0483fn738","country_code":"GR","type":"nonprofit","lineage":["https://openalex.org/I4210144519"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Bozhan Zhechev","raw_affiliation_strings":["ICCS - BAS"],"affiliations":[{"raw_affiliation_string":"ICCS - BAS","institution_ids":["https://openalex.org/I4210144519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027354043"],"corresponding_institution_ids":["https://openalex.org/I4210144519"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14134543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.996399998664856,"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":0.996399998664856,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9660999774932861,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.8732337951660156},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6111863851547241},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.49489158391952515},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.4832347333431244},{"id":"https://openalex.org/keywords/lapped-transform","display_name":"Lapped transform","score":0.4230552911758423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3962465822696686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3877987861633301},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.3608873188495636},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3044254183769226},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11610516905784607},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10886168479919434}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.8732337951660156},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6111863851547241},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.49489158391952515},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.4832347333431244},{"id":"https://openalex.org/C91458471","wikidata":"https://www.wikidata.org/wiki/Q17096468","display_name":"Lapped transform","level":5,"score":0.4230552911758423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3962465822696686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3877987861633301},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.3608873188495636},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3044254183769226},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11610516905784607},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10886168479919434},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1050330.1050349","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1050330.1050349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th international conference on Computer systems and technologies - CompSysTech '04","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1495461223","https://openalex.org/W1536161473","https://openalex.org/W2010518064","https://openalex.org/W2018342351","https://openalex.org/W2031614119","https://openalex.org/W4285719527"],"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/W4309177872"],"abstract_inverted_index":{"In":[0],"paper":[1],"two":[2],"types":[3],"of":[4,53,70],"the":[5,30,54,67,71],"discrete":[6],"cosine":[7],"(and":[8],"sine)":[9],"transforms":[10,15,75],"(DCT/DST)":[11],"are":[12,16,87],"analyzed.":[13],"These":[14,45,63],"useful":[17],"for":[18,50,60],"many":[19],"applications.":[20],"It":[21],"is":[22,35],"shown":[23],"that":[24],"if":[25],"an":[26,38],"operator,":[27],"connected":[28],"with":[29,48,58,82],"Discrete":[31],"Fourier":[32],"Transform":[33],"(DFT),":[34],"referred":[36],"to":[37,89],"appropriate":[39],"basis":[40],"it":[41],"takes":[42],"block-diagonal":[43],"form.":[44],"blocks":[46],"coincide":[47],"DCT-2/DST-2":[49],"even":[51],"dimensions":[52],"signals'":[55],"space":[56],"and":[57,77],"DCT-6/DST-6":[59],"odd":[61],"ones.":[62],"results":[64],"complete":[65],"investigating":[66],"full":[68],"structure":[69],"DCT/DST.":[72],"The":[73],"other":[74],"DCT-3/DST-3":[76],"DCT-7/DST-7":[78],"have":[79],"simple":[80],"connection":[81],"these":[83],"one":[84],"--":[85],"they":[86],"transposed":[88],"them.":[90]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
