{"id":"https://openalex.org/W2048534515","doi":"https://doi.org/10.1109/lsp.2012.2195172","title":"New Transforms Tightly Bounded by DCT and KLT","display_name":"New Transforms Tightly Bounded by DCT and KLT","publication_year":2012,"publication_date":"2012-04-20","ids":{"openalex":"https://openalex.org/W2048534515","doi":"https://doi.org/10.1109/lsp.2012.2195172","mag":"2048534515"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2195172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2195172","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5114973755","display_name":"Haoming Chen","orcid":"https://orcid.org/0009-0006-1905-3913"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Haoming Chen","raw_affiliation_strings":["ECE Department, Hong Kong University of Science and Technology, Hong Kong, China","ECE Dept., Hong Kong Univ. of Sci. & Technol., Kowloon, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"ECE Dept., Hong Kong Univ. of Sci. & Technol., Kowloon, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077470082","display_name":"Bing Zeng","orcid":"https://orcid.org/0000-0002-4491-7967"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Bing Zeng","raw_affiliation_strings":["ECE Department, Hong Kong University of Science and Technology, Hong Kong, China","ECE Dept., Hong Kong Univ. of Sci. & Technol., Kowloon, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"ECE Dept., Hong Kong Univ. of Sci. & Technol., Kowloon, China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":1.4621,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.85244209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"6","first_page":"344","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991999864578247,"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/T10531","display_name":"Advanced Vision and Imaging","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/T10741","display_name":"Video Coding and Compression Technologies","score":0.9961000084877014,"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":0.9071894884109497},{"id":"https://openalex.org/keywords/lapped-transform","display_name":"Lapped transform","score":0.607457160949707},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.6058177351951599},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5854610800743103},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5280854105949402},{"id":"https://openalex.org/keywords/modified-discrete-cosine-transform","display_name":"Modified discrete cosine transform","score":0.5280583500862122},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5010621547698975},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4892089366912842},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48184359073638916},{"id":"https://openalex.org/keywords/coding-gain","display_name":"Coding gain","score":0.45942142605781555},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.34826213121414185},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.30239129066467285},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.28440189361572266},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07190805673599243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07138338685035706}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.9071894884109497},{"id":"https://openalex.org/C91458471","wikidata":"https://www.wikidata.org/wiki/Q17096468","display_name":"Lapped transform","level":5,"score":0.607457160949707},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.6058177351951599},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5854610800743103},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5280854105949402},{"id":"https://openalex.org/C28726691","wikidata":"https://www.wikidata.org/wiki/Q1268231","display_name":"Modified discrete cosine transform","level":5,"score":0.5280583500862122},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5010621547698975},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4892089366912842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48184359073638916},{"id":"https://openalex.org/C76862118","wikidata":"https://www.wikidata.org/wiki/Q1105671","display_name":"Coding gain","level":3,"score":0.45942142605781555},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.34826213121414185},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.30239129066467285},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.28440189361572266},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07190805673599243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07138338685035706}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2012.2195172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2195172","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-56600","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-56600","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1990847286","https://openalex.org/W2035421066","https://openalex.org/W2127588422","https://openalex.org/W2144640755","https://openalex.org/W2159883035","https://openalex.org/W2165101139","https://openalex.org/W2593004182"],"related_works":["https://openalex.org/W2162505377","https://openalex.org/W2112852877","https://openalex.org/W2090071970","https://openalex.org/W2128618986","https://openalex.org/W2111266495","https://openalex.org/W2115252864","https://openalex.org/W2119239074","https://openalex.org/W2736872557","https://openalex.org/W2565123265","https://openalex.org/W2363607146"],"abstract_inverted_index":{"It":[0],"is":[1,103,113],"well":[2,131],"known":[3],"that":[4,68],"the":[5,23,31,34,55,62,109,118,124,128,133],"discrete":[6],"cosine":[7],"transform":[8,12],"(DCT)":[9],"and":[10,20,59,108],"Karhunen\u2013Lo\u00e8ve":[11],"(KLT)":[13],"are":[14,92],"two":[15,50,87],"good":[16],"representatives":[17],"in":[18],"image":[19],"video":[21],"coding:":[22],"first":[24],"can":[25],"be":[26],"implemented":[27],"very":[28],"efficiently":[29],"while":[30],"second":[32],"offers":[33],"best":[35,110],"R-D":[36,57],"coding":[37,120],"performance.":[38],"In":[39],"this":[40,72],"work,":[41],"we":[42,74],"attempt":[43],"to":[44,54,82,97,105,140],"design":[45,138],"some":[46,137],"new":[47],"transforms":[48],"with":[49,136],"goals:":[51],"i)":[52],"approaching":[53],"KLT's":[56],"performance":[58],"ii)":[60],"maintaining":[61],"implementation":[63],"cost":[64],"no":[65],"bigger":[66],"than":[67],"of":[69,79,89],"DCT.":[70],"To":[71],"end,":[73],"follow":[75],"a":[76,99,106],"cascade":[77],"structure":[78],"multiple":[80],"butterflies":[81],"develop":[83],"an":[84],"iterative":[85],"algorithm:":[86],"out":[88],"N":[90],"nodes":[91],"selected":[93],"at":[94],"each":[95],"stage":[96],"form":[98],"Givens":[100],"rotation":[101,111],"(which":[102],"equivalent":[104],"butterfly);":[107],"angle":[112],"then":[114],"determined":[115],"by":[116],"maximizing":[117],"resulted":[119],"gain.":[121],"We":[122],"give":[123],"closed-form":[125],"solutions":[126],"for":[127],"node-selection":[129],"as":[130,132],"angle-determination,":[134],"together":[135],"examples":[139],"demonstrate":[141],"their":[142],"superiority.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}