{"id":"https://openalex.org/W4283211970","doi":"https://doi.org/10.1109/meco55406.2022.9797092","title":"On the Computational Complexity of 2D Filtering by Winograd Method","display_name":"On the Computational Complexity of 2D Filtering by Winograd Method","publication_year":2022,"publication_date":"2022-06-07","ids":{"openalex":"https://openalex.org/W4283211970","doi":"https://doi.org/10.1109/meco55406.2022.9797092"},"language":"en","primary_location":{"id":"doi:10.1109/meco55406.2022.9797092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/meco55406.2022.9797092","pdf_url":null,"source":{"id":"https://openalex.org/S4363608204","display_name":"2022 11th Mediterranean Conference on Embedded Computing (MECO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 11th Mediterranean Conference on Embedded Computing (MECO)","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/A5032223985","display_name":"Pavel Lyakhov","orcid":"https://orcid.org/0000-0003-0487-4779"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Pavel A. Lyakhov","raw_affiliation_strings":["North-Caucasus Center for Mathematical Research, North-Caucasus Federal University,Stavropol,Russia","North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, Russia"],"affiliations":[{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University,Stavropol,Russia","institution_ids":["https://openalex.org/I210043505"]},{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012226617","display_name":"Albina Abdulsalyamova","orcid":"https://orcid.org/0000-0002-3589-4257"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Albina S. Abdulsalyamova","raw_affiliation_strings":["North-Caucasus Center for Mathematical Research, North-Caucasus Federal University,Stavropol,Russia","North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, Russia"],"affiliations":[{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University,Stavropol,Russia","institution_ids":["https://openalex.org/I210043505"]},{"raw_affiliation_string":"North-Caucasus Center for Mathematical Research, North-Caucasus Federal University, Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025346936","display_name":"Nataliya Semyonova","orcid":"https://orcid.org/0000-0001-6462-2106"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nataliya F. Semyonova","raw_affiliation_strings":["North-Caucasus Federal University,Department of Mathematical Modeling,Stavropol,Russia","Department of Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia"],"affiliations":[{"raw_affiliation_string":"North-Caucasus Federal University,Department of Mathematical Modeling,Stavropol,Russia","institution_ids":["https://openalex.org/I210043505"]},{"raw_affiliation_string":"Department of Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019972460","display_name":"Nikolay Nagornov","orcid":"https://orcid.org/0000-0002-9423-3555"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nikolay N. Nagornov","raw_affiliation_strings":["North-Caucasus Federal University,Department of Mathematical Modeling,Stavropol,Russia","Department of Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia"],"affiliations":[{"raw_affiliation_string":"North-Caucasus Federal University,Department of Mathematical Modeling,Stavropol,Russia","institution_ids":["https://openalex.org/I210043505"]},{"raw_affiliation_string":"Department of Mathematical Modeling, North-Caucasus Federal University, Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037837119","display_name":"Alexander Voznesensky","orcid":"https://orcid.org/0000-0002-0667-7851"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander S. Voznesensky","raw_affiliation_strings":["Saint Petersburg Electrotechnical University &#x201C;LETI&#x201D;,Department of Automation and Control Processes,St. Petersburg,Russia"],"affiliations":[{"raw_affiliation_string":"Saint Petersburg Electrotechnical University &#x201C;LETI&#x201D;,Department of Automation and Control Processes,St. Petersburg,Russia","institution_ids":["https://openalex.org/I41518628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054967047","display_name":"Dmitrii Kaplun","orcid":"https://orcid.org/0000-0003-2765-4509"},"institutions":[{"id":"https://openalex.org/I41518628","display_name":"Saint Petersburg State Electrotechnical University","ror":"https://ror.org/023bq8521","country_code":"RU","type":"education","lineage":["https://openalex.org/I41518628"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Dmitrii I. Kaplun","raw_affiliation_strings":["Saint Petersburg Electrotechnical University &#x201C;LETI&#x201D;,Department of Automation and Control Processes,St. Petersburg,Russia"],"affiliations":[{"raw_affiliation_string":"Saint Petersburg Electrotechnical University &#x201C;LETI&#x201D;,Department of Automation and Control Processes,St. Petersburg,Russia","institution_ids":["https://openalex.org/I41518628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5032223985"],"corresponding_institution_ids":["https://openalex.org/I210043505"],"apc_list":null,"apc_paid":null,"fwci":0.2996,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62248681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9919000267982483,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9919000267982483,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9865999817848206,"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"}},{"id":"https://openalex.org/T13983","display_name":"Cybersecurity and Information Systems","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6584657430648804},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.6531897783279419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6037111878395081},{"id":"https://openalex.org/keywords/digital-image-processing","display_name":"Digital image processing","score":0.5748950242996216},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5737618803977966},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5695010423660278},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.558935284614563},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.48529237508773804},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.47175341844558716},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.44544944167137146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3519076704978943},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3472335636615753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3214111328125}],"concepts":[{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6584657430648804},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.6531897783279419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6037111878395081},{"id":"https://openalex.org/C104317675","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Digital image processing","level":4,"score":0.5748950242996216},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5737618803977966},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5695010423660278},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.558935284614563},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.48529237508773804},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.47175341844558716},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.44544944167137146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3519076704978943},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3472335636615753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3214111328125}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/meco55406.2022.9797092","is_oa":false,"landing_page_url":"https://doi.org/10.1109/meco55406.2022.9797092","pdf_url":null,"source":{"id":"https://openalex.org/S4363608204","display_name":"2022 11th Mediterranean Conference on Embedded Computing (MECO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 11th Mediterranean Conference on Embedded Computing (MECO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5340660282","display_name":null,"funder_award_id":"19-57-06007","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G5485284822","display_name":null,"funder_award_id":"21-71-00017","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1487564550","https://openalex.org/W2002558120","https://openalex.org/W2134397503","https://openalex.org/W2791560303","https://openalex.org/W2964622051","https://openalex.org/W3041524412","https://openalex.org/W3101403537","https://openalex.org/W3106988022","https://openalex.org/W3116854040","https://openalex.org/W3212368770","https://openalex.org/W4289376995"],"related_works":["https://openalex.org/W2356087891","https://openalex.org/W3036827782","https://openalex.org/W2348439329","https://openalex.org/W2553152692","https://openalex.org/W2951194758","https://openalex.org/W2183514925","https://openalex.org/W2080625741","https://openalex.org/W4377241632","https://openalex.org/W2373336158","https://openalex.org/W1997609524"],"abstract_inverted_index":{"Increasing":[0],"the":[1,21,28,38,53,58,69],"speed":[2,22],"of":[3,23,55,72],"digital":[4,73],"image":[5,25,34,60,102],"processing":[6,35,103,108],"is":[7],"an":[8,50],"important":[9],"problem":[10],"in":[11,52,57,66,100],"various":[12,101],"fields.":[13],"This":[14],"paper":[15],"proposes":[16],"a":[17,64],"way":[18],"to":[19,63,79,85],"increase":[20,51],"2D":[24],"filtering":[26],"using":[27,88,109],"Winograd":[29,39,75],"method.":[30],"New":[31],"algorithms":[32],"for":[33],"based":[36],"on":[37],"method":[40],"have":[41],"been":[42],"proposed.":[43],"The":[44,94],"theoretical":[45],"analysis":[46],"results":[47,95],"showed":[48],"that":[49,105],"number":[54],"pixels":[56],"resulting":[59],"fragment":[61],"leads":[62],"decrease":[65],"multiplications":[67,78],"and":[68],"computational":[70],"complexity":[71],"filtering.":[74],"methods":[76],"reduced":[77],"4":[80],"times":[81,87],"by":[82],"increasing":[83],"additions":[84],"2.88":[86],"filter":[89],"<tex":[90],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[91],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$3\\mathrm{x}3$</tex>":[92],".":[93],"obtained":[96],"can":[97],"be":[98],"used":[99],"fields":[104],"require":[106],"real-time":[107],"modern":[110],"microelectronic":[111],"devices.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}