{"id":"https://openalex.org/W2920916558","doi":"https://doi.org/10.23919/apsipa.2018.8659511","title":"Acceleration of Gaussian Filter with Short Window Length Using DCT-1","display_name":"Acceleration of Gaussian Filter with Short Window Length Using DCT-1","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2920916558","doi":"https://doi.org/10.23919/apsipa.2018.8659511","mag":"2920916558"},"language":"en","primary_location":{"id":"doi:10.23919/apsipa.2018.8659511","is_oa":false,"landing_page_url":"https://doi.org/10.23919/apsipa.2018.8659511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)","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/A5075946590","display_name":"Takahiro Yano","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takahiro Yano","raw_affiliation_strings":["Waseda University, Graduate School of Information, Production and Systems, JAPAN"],"affiliations":[{"raw_affiliation_string":"Waseda University, Graduate School of Information, Production and Systems, JAPAN","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075192946","display_name":"Kenjiro Sugimoto","orcid":"https://orcid.org/0009-0005-7957-3411"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenjiro Sugimoto","raw_affiliation_strings":["Waseda University, Graduate School of Information, Production and Systems, JAPAN"],"affiliations":[{"raw_affiliation_string":"Waseda University, Graduate School of Information, Production and Systems, JAPAN","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046127561","display_name":"Yoshimitsu Kuroki","orcid":"https://orcid.org/0000-0003-4464-4329"},"institutions":[{"id":"https://openalex.org/I4210099780","display_name":"National Institute of Technology, Kurume College","ror":"https://ror.org/00xefvv79","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210099780","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshimitsu Kuroki","raw_affiliation_strings":["National Institute of Technology, Kurume College, JAPAN"],"affiliations":[{"raw_affiliation_string":"National Institute of Technology, Kurume College, JAPAN","institution_ids":["https://openalex.org/I4210099780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066452160","display_name":"Sei\u2010ichiro Kamata","orcid":"https://orcid.org/0000-0002-1496-2417"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Sei-ichiro Kamata","raw_affiliation_strings":["Waseda University, Graduate School of Information, Production and Systems, JAPAN"],"affiliations":[{"raw_affiliation_string":"Waseda University, Graduate School of Information, Production and Systems, JAPAN","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075946590"],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":null,"apc_paid":null,"fwci":0.5223,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.72378778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"129","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11019","display_name":"Image Enhancement Techniques","score":0.9973000288009644,"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/T11019","display_name":"Image Enhancement Techniques","score":0.9973000288009644,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9961000084877014,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9944999814033508,"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":0.8998678922653198},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6330004930496216},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6083493828773499},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5946241021156311},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5755218267440796},{"id":"https://openalex.org/keywords/gaussian-filter","display_name":"Gaussian filter","score":0.5546655058860779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.516273021697998},{"id":"https://openalex.org/keywords/sliding-window-protocol","display_name":"Sliding window protocol","score":0.5131521821022034},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.45962798595428467},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.45034050941467285},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.43623995780944824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42601120471954346},{"id":"https://openalex.org/keywords/window-function","display_name":"Window function","score":0.4248833656311035},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.4225902855396271},{"id":"https://openalex.org/keywords/window","display_name":"Window (computing)","score":0.33782362937927246},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2520514726638794},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23481300473213196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2324431836605072},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2097359001636505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08902224898338318}],"concepts":[{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.8998678922653198},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6330004930496216},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6083493828773499},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5946241021156311},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5755218267440796},{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.5546655058860779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.516273021697998},{"id":"https://openalex.org/C102392041","wikidata":"https://www.wikidata.org/wiki/Q592860","display_name":"Sliding window protocol","level":3,"score":0.5131521821022034},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.45962798595428467},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.45034050941467285},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.43623995780944824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42601120471954346},{"id":"https://openalex.org/C140101238","wikidata":"https://www.wikidata.org/wiki/Q1404885","display_name":"Window function","level":3,"score":0.4248833656311035},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.4225902855396271},{"id":"https://openalex.org/C2778751112","wikidata":"https://www.wikidata.org/wiki/Q835016","display_name":"Window (computing)","level":2,"score":0.33782362937927246},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2520514726638794},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23481300473213196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2324431836605072},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2097359001636505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08902224898338318},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/apsipa.2018.8659511","is_oa":false,"landing_page_url":"https://doi.org/10.23919/apsipa.2018.8659511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1553254033","https://openalex.org/W1973250327","https://openalex.org/W1978010612","https://openalex.org/W2008719012","https://openalex.org/W2053149885","https://openalex.org/W2053630361","https://openalex.org/W2104599718","https://openalex.org/W2106884232","https://openalex.org/W2110741028","https://openalex.org/W2117612778","https://openalex.org/W2128272608","https://openalex.org/W2132361536","https://openalex.org/W2143425433","https://openalex.org/W2144531167","https://openalex.org/W2151103935","https://openalex.org/W2155919893","https://openalex.org/W2164598857","https://openalex.org/W2170058206","https://openalex.org/W2173710661","https://openalex.org/W2321334235","https://openalex.org/W2564669949","https://openalex.org/W2798107309","https://openalex.org/W4253999777"],"related_works":["https://openalex.org/W2128379799","https://openalex.org/W2945089857","https://openalex.org/W4220715471","https://openalex.org/W2185023212","https://openalex.org/W2368436887","https://openalex.org/W3158799923","https://openalex.org/W2163158482","https://openalex.org/W1492046297","https://openalex.org/W2369676483","https://openalex.org/W2994298368"],"abstract_inverted_index":{"This":[0,49,93],"paper":[1],"presents":[2],"an":[3],"accelerated":[4],"constant-time":[5,16],"Gaussian":[6,53,126],"filter":[7,28],"(O(1)":[8],"GF)":[9],"specialized":[10],"in":[11,68,98,132],"short":[12,116],"window":[13,29,77,117],"length":[14,78],"where":[15],"(O(1))":[17],"means":[18],"that":[19,121],"computational":[20,135],"complexity":[21],"per":[22,70],"pixel":[23,71],"does":[24],"not":[25,96],"depend":[26],"on":[27,37,44,115],"length.":[30,118],"Our":[31],"method":[32,106,123,148],"is":[33,79,95],"extensively":[34],"designed":[35],"based":[36,43],"the":[38,108,138],"idea":[39],"of":[40,59,83,134],"O(1)":[41,69,130],"GF":[42,131],"Discrete":[45],"Cosine":[46],"Transform":[47],"(DCT).":[48],"framework":[50],"approximates":[51],"a":[52,56],"kernel":[54],"by":[55,111],"linear":[57],"sum":[58],"cosine":[60,66,85],"terms":[61,133],"and":[62,91,128],"then":[63],"convolves":[64],"each":[65],"term":[67],"using":[72],"sliding":[73,109],"transform.":[74],"Importantly,":[75],"if":[76],"short,":[80],"DCT-1":[81,113],"consists":[82],"easily-computable":[84],"values":[86],"such":[87],"as":[88],"0,":[89],"\u00b1[1/2]":[90],"\u00b11.":[92],"behavior":[94],"satisfied":[97],"other":[99],"DCT":[100],"types.":[101],"From":[102],"this":[103],"fact,":[104],"our":[105,122,147],"accelerates":[107],"transform":[110],"employing":[112],"focusing":[114],"Experiments":[119],"show":[120],"overcomes":[124],"naive":[125],"convolution":[127],"existing":[129],"time.":[136],"Interestingly,":[137],"results":[139],"also":[140],"reveal":[141],"that,":[142],"without":[143],"truncating":[144],"negligible":[145],"terms,":[146],"runs":[149],"faster":[150],"than":[151],"convolution.":[152]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}