{"id":"https://openalex.org/W3160980631","doi":"https://doi.org/10.1109/icpr48806.2021.9413054","title":"Stabilized Calculation of Gaussian Smoothing and Its Differentials Using Attenuated Sliding Fourier Transform","display_name":"Stabilized Calculation of Gaussian Smoothing and Its Differentials Using Attenuated Sliding Fourier Transform","publication_year":2021,"publication_date":"2021-01-10","ids":{"openalex":"https://openalex.org/W3160980631","doi":"https://doi.org/10.1109/icpr48806.2021.9413054","mag":"3160980631"},"language":"en","primary_location":{"id":"doi:10.1109/icpr48806.2021.9413054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9413054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","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/A5091563396","display_name":"Yukihiko Yamashita","orcid":"https://orcid.org/0000-0002-9757-3117"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yukihiko Yamashita","raw_affiliation_strings":["School of Environment and Society, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Environment and Society, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076148615","display_name":"Toru Wakahara","orcid":"https://orcid.org/0000-0002-2091-3363"},"institutions":[{"id":"https://openalex.org/I204291657","display_name":"Hosei University","ror":"https://ror.org/00bx6dj65","country_code":"JP","type":"education","lineage":["https://openalex.org/I204291657"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toru Wakahara","raw_affiliation_strings":["Faculty of Computer and Information Sciences, Hosei University, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computer and Information Sciences, Hosei University, Tokyo, Japan","institution_ids":["https://openalex.org/I204291657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2911,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.54341059,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"j103 d","issue":null,"first_page":"1128","last_page":"1135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9991999864578247,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9991999864578247,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9979000091552734,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.8917877674102783},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.8025661706924438},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.7646145224571228},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6798171401023865},{"id":"https://openalex.org/keywords/gaussian-blur","display_name":"Gaussian blur","score":0.6715258955955505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.566270112991333},{"id":"https://openalex.org/keywords/point-spread-function","display_name":"Point spread function","score":0.49210280179977417},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48263153433799744},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.46835389733314514},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.458446741104126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42156508564949036},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41740018129348755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4030286967754364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3357595205307007},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3283069133758545},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.29481303691864014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2799607515335083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2686004936695099},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.24826550483703613},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.19280293583869934},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16385191679000854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1277177631855011}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.8917877674102783},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.8025661706924438},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7646145224571228},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6798171401023865},{"id":"https://openalex.org/C104317376","wikidata":"https://www.wikidata.org/wiki/Q1894545","display_name":"Gaussian blur","level":5,"score":0.6715258955955505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.566270112991333},{"id":"https://openalex.org/C69179731","wikidata":"https://www.wikidata.org/wiki/Q510427","display_name":"Point spread function","level":2,"score":0.49210280179977417},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48263153433799744},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.46835389733314514},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.458446741104126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42156508564949036},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41740018129348755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4030286967754364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3357595205307007},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3283069133758545},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.29481303691864014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2799607515335083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2686004936695099},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.24826550483703613},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.19280293583869934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16385191679000854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1277177631855011},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr48806.2021.9413054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr48806.2021.9413054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 25th International Conference on Pattern Recognition (ICPR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6242895139","display_name":null,"funder_award_id":"17K00250,17H01760,20H04206","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1677409904","https://openalex.org/W1811986364","https://openalex.org/W1989491465","https://openalex.org/W2053149885","https://openalex.org/W2053630361","https://openalex.org/W2061171222","https://openalex.org/W2109863423","https://openalex.org/W2118902001","https://openalex.org/W2119605622","https://openalex.org/W2145072179","https://openalex.org/W2151103935","https://openalex.org/W2170058206","https://openalex.org/W2173710661","https://openalex.org/W2303608025","https://openalex.org/W2789786453","https://openalex.org/W2798107309","https://openalex.org/W2920916558","https://openalex.org/W3045169366","https://openalex.org/W6676598158","https://openalex.org/W6681554747","https://openalex.org/W7029402347"],"related_works":["https://openalex.org/W2127710167","https://openalex.org/W4220715471","https://openalex.org/W2384408398","https://openalex.org/W1597170061","https://openalex.org/W3023341321","https://openalex.org/W43932062","https://openalex.org/W2144336166","https://openalex.org/W2371693281","https://openalex.org/W129461633","https://openalex.org/W2945089857"],"abstract_inverted_index":{"Gaussian":[0,32,96],"smoothing":[1,33],"and":[2,5,14,98],"its":[3,99],"first":[4],"second":[6],"differentials":[7],"are":[8],"very":[9],"important":[10],"for":[11,90],"image":[12],"processing":[13],"computer":[15],"vision.":[16],"We":[17],"already":[18],"have":[19],"methods":[20],"based":[21],"on":[22],"the":[23,46,51,55,67,72,82,108,112],"sliding":[24],"Fourier":[25],"transform":[26],"(SFT)":[27],"in":[28,37],"order":[29],"to":[30,81,93],"calculate":[31],"efficiently.":[34],"However,":[35],"errors":[36],"floating":[38],"point":[39],"calculation":[40],"accumulate":[41],"quickly":[42],"when":[43],"we":[44,70],"use":[45],"single-precision":[47],"floating-point":[48],"format.":[49],"Also,":[50],"resultant":[52],"discontinuities":[53],"at":[54],"edges":[56],"of":[57,107],"SFT":[58,74,84],"intervals":[59],"generate":[60],"false":[61],"extreme":[62],"points":[63],"easily.":[64],"To":[65],"resolve":[66],"abovementioned":[68],"problems,":[69],"propose":[71],"attenuated":[73],"(ASFT)":[75],"by":[76],"introducing":[77],"a":[78,87,104],"decay":[79],"factor":[80],"original":[83,113],"together":[85],"with":[86],"new":[88],"criterion":[89],"determining":[91],"coefficients":[92],"effectively":[94],"approximate":[95],"function":[97],"differentials.":[100],"Extensive":[101],"experiments":[102],"demonstrate":[103],"decisive":[105],"superiority":[106],"proposed":[109],"ASFT":[110],"over":[111],"SFT.":[114]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}