{"id":"https://openalex.org/W4307377481","doi":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","title":"Tensor Calculus in Digital Colorimetry","display_name":"Tensor Calculus in Digital Colorimetry","publication_year":2022,"publication_date":"2022-10-24","ids":{"openalex":"https://openalex.org/W4307377481","doi":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227"},"language":"en","primary_location":{"id":"doi:10.21122/2220-9506-2022-13-3-216-227","doi":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","is_oa":true,"landing_page_url":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","pdf_url":"https://pimi.bntu.by/jour/article/download/780/632","source":{"id":"https://openalex.org/S2736606486","display_name":"Devices and Methods of Measurements","issn_l":"2220-9506","issn":["2220-9506","2414-0473"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314041","host_organization_name":"Belarusian National Technical University","host_organization_lineage":["https://openalex.org/P4310314041"],"host_organization_lineage_names":["Belarusian National Technical University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Devices and Methods of Measurements","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://pimi.bntu.by/jour/article/download/780/632","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109444529","display_name":"Yauheniya Saukova","orcid":"https://orcid.org/0000-0002-7067-0224","observed_orcids":["https://orcid.org/0000-0002-7067-0224"]},"institutions":[{"id":"https://openalex.org/I45812101","display_name":"Belarusian National Technical University","ror":"https://ror.org/040a2r459","country_code":"BY","type":"education","lineage":["https://openalex.org/I45812101"]}],"countries":["BY"],"is_corresponding":true,"raw_author_name":"Y. N. Saukova","raw_affiliation_strings":["Belarusian National Technical University","Belarusian National Technical University, Nezavisimosty Ave., 65, Minsk 220013, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Belarusian National Technical University","institution_ids":["https://openalex.org/I45812101"]},{"raw_affiliation_string":"Belarusian National Technical University, Nezavisimosty Ave., 65, Minsk 220013, Belarus","institution_ids":["https://openalex.org/I45812101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067601785","display_name":"M. A. Hundzina","orcid":"https://orcid.org/0000-0002-9385-9919","observed_orcids":["https://orcid.org/0000-0002-9385-9919"]},"institutions":[{"id":"https://openalex.org/I45812101","display_name":"Belarusian National Technical University","ror":"https://ror.org/040a2r459","country_code":"BY","type":"education","lineage":["https://openalex.org/I45812101"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"M. A. Hundzina","raw_affiliation_strings":["Belarusian National Technical University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Belarusian National Technical University","institution_ids":["https://openalex.org/I45812101"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109444529"],"corresponding_institution_ids":["https://openalex.org/I45812101"],"apc_list":null,"apc_paid":null,"fwci":0.0974,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20019129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"13","issue":"3","first_page":"216","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11666","display_name":"Color Science and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11666","display_name":"Color Science and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12496","display_name":"Color perception and design","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3207","display_name":"Social Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11890","display_name":"Scientific Measurement and Uncertainty Evaluation","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3105","display_name":"Instrumentation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor-calculus","display_name":"tensor calculus","score":0.878000020980835},{"id":"https://openalex.org/keywords/digital-colorimetry","display_name":"digital colorimetry","score":0.9990000128746033},{"id":"https://openalex.org/keywords/color-space","display_name":"color space","score":0.5669999718666077},{"id":"https://openalex.org/keywords/color-models","display_name":"color models","score":0.5329999923706055},{"id":"https://openalex.org/keywords/quantized-space","display_name":"quantized space","score":0.6380000114440918},{"id":"https://openalex.org/keywords/shannon-entropy","display_name":"Shannon entropy","score":0.7580000162124634},{"id":"https://openalex.org/keywords/measurement-uncertainty","display_name":"measurement uncertainty","score":0.6269999742507935},{"id":"https://openalex.org/keywords/measurement-traceability","display_name":"measurement traceability","score":0.9010000228881836},{"id":"https://openalex.org/keywords/color-image-processing","display_name":"color image processing","score":0.5040000081062317},{"id":"https://openalex.org/keywords/vector-fields","display_name":"vector fields","score":0.4620000123977661},{"id":"https://openalex.org/keywords/low-rank-matrix-decomposition","display_name":"low-rank matrix decomposition","score":0.7229999899864197},{"id":"https://openalex.org/keywords/dynamic-range","display_name":"dynamic range","score":0.6949999928474426}],"concepts":[{"id":"https://openalex.org/C2961294","wikidata":"https://www.wikidata.org/wiki/Q166863","display_name":"Color space","level":3,"score":0.5611927509307861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49776557087898254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44790714979171753},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4427565038204193},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4257992208003998},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4189170002937317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41275161504745483},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40008676052093506},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.34713780879974365},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3344227969646454},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1098056435585022},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10567393898963928},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09529796242713928}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.21122/2220-9506-2022-13-3-216-227","doi":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","is_oa":true,"landing_page_url":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","pdf_url":"https://pimi.bntu.by/jour/article/download/780/632","source":{"id":"https://openalex.org/S2736606486","display_name":"Devices and Methods of Measurements","issn_l":"2220-9506","issn":["2220-9506","2414-0473"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314041","host_organization_name":"Belarusian National Technical University","host_organization_lineage":["https://openalex.org/P4310314041"],"host_organization_lineage_names":["Belarusian National Technical University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Devices and Methods of Measurements","raw_type":"journal-article"},{"id":"pmh:https://cyberleninka.ru/article/n/tensor-calculus-in-digital-colorimetry","doi":null,"is_oa":true,"landing_page_url":"https://cyberleninka.ru/article/n/tensor-calculus-in-digital-colorimetry","pdf_url":null,"source":{"id":"https://openalex.org/S4306401404","display_name":"CyberLeninK (CyberLeninka)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:0ab6e0f5c069418ba587781a940c9ff6","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/0ab6e0f5c069418ba587781a940c9ff6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u041f\u0440\u0438\u0431\u043e\u0440\u044b \u0438 \u043c\u0435\u0442\u043e\u0434\u044b \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u0439, Vol 13, Iss 3, Pp 216-227 (2022)","raw_type":"article"},{"id":"pmh:oai:rep.bntu.by:data/122376","doi":null,"is_oa":true,"landing_page_url":"https://rep.bntu.by/handle/data/122376","pdf_url":null,"source":{"id":"https://openalex.org/S4306402542","display_name":"Repository of Belarusian National Technical University (Belarusian National Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45812101","host_organization_name":"Belarusian National Technical University","host_organization_lineage":["https://openalex.org/I45812101"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.21122/2220-9506-2022-13-3-216-227","doi":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","is_oa":true,"landing_page_url":"https://doi.org/10.21122/2220-9506-2022-13-3-216-227","pdf_url":"https://pimi.bntu.by/jour/article/download/780/632","source":{"id":"https://openalex.org/S2736606486","display_name":"Devices and Methods of Measurements","issn_l":"2220-9506","issn":["2220-9506","2414-0473"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-c","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314041","host_organization_name":"Belarusian National Technical University","host_organization_lineage":["https://openalex.org/P4310314041"],"host_organization_lineage_names":["Belarusian National Technical University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Devices and Methods of Measurements","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307377481.pdf","grobid_xml":"https://content.openalex.org/works/W4307377481.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2150178435","https://openalex.org/W2582136575","https://openalex.org/W2902476098","https://openalex.org/W3039738173","https://openalex.org/W3112259026","https://openalex.org/W4229858876","https://openalex.org/W4243058080"],"related_works":["https://openalex.org/W4400482631","https://openalex.org/W4225273013","https://openalex.org/W1591100951","https://openalex.org/W3189847891","https://openalex.org/W4404608114","https://openalex.org/W2171678033","https://openalex.org/W1589707409","https://openalex.org/W2611192026","https://openalex.org/W2027201909","https://openalex.org/W7119388456"],"abstract_inverted_index":{"Any":[0],"object":[1],"can":[2,16,130],"have":[3],"many":[4,19],"implementations":[5],"in":[6,78,210],"the":[7,30,53,61,73,100,111,116,121,144,147,168,177,184,188,196,207,243,269],"form":[8],"of":[9,36,45,55,63,92,113,118,123,125,137,146,149,158,176,186,191,198,228,249,282],"digital":[10,14,67,83,128,193],"images":[11],"and":[12,25,41,59,75,89,96,115,140,163,174,180,217,223,256,275,286],"any":[13],"image":[15,129,194],"be":[17,131],"processed":[18],"times":[20],"increasing":[21],"or":[22],"decreasing":[23],"accuracy":[24],"reliability.":[26,42],"Digital":[27],"colorimetry":[28,84],"faces":[29],"need":[31],"to":[32,49,52,66,104,171,240,276],"work":[33,47],"out":[34],"issues":[35],"ensuring":[37],"accuracy,":[38,283],"metrological":[39],"traceability":[40],"The":[43,165,231],"purpose":[44],"this":[46,241],"was":[48],"generalize":[50],"approaches":[51],"description":[54],"multidimensional":[56,214],"quantized":[57,218],"spaces":[58,219],"show":[60],"possibilities":[62],"their":[64],"adaptation":[65],"colorimetry.":[68],"This":[69],"approach":[70,234,242],"will":[71],"minimize":[72],"private":[74],"global":[76],"risks":[77],"measurements.":[79],"For":[80],"color":[81,87,151,189,211,244,278],"identification":[82],"uses":[85],"standard":[86,103],"models":[88],"spaces.":[90],"Most":[91],"them":[93,225],"are":[94,97],"empirical":[95],"improved":[98],"during":[99],"transition":[101,166],"from":[102,167],"real":[105],"observation":[106],"conditions":[107],"taking":[108],"into":[109,226],"account":[110],"phenomena":[112],"vision":[114],"age":[117],"observers.":[119],"From":[120],"point":[122],"view":[124],"measurement,":[126],"a":[127,134,150,155,192,247,262,272],"represented":[132],"by":[133,195],"combinatorial":[135],"model":[136],"an":[138],"information":[139,199,267],"measurement":[141],"channel":[142],"with":[143,220,268,279],"appearance":[145],"phenomenon":[148],"covariance":[152,169],"hypercube":[153,170],"requiring":[154],"significant":[156],"amount":[157],"memory":[159],"for":[160,205],"data":[161],"storage":[162],"processing.":[164],"high-dimensional":[172],"matrices":[173,227],"tensors":[175,222],"first,":[178],"second":[179],"higher":[181],"ranks":[182],"provides":[183,203],"prospect":[185],"optimizing":[187],"parameters":[190],"criterion":[197],"entropy.":[200,287],"Tensor":[201],"calculus":[202],"opportunities":[204],"expanding":[206],"dynamic":[208,263],"range":[209],"measurements":[212],"describing":[213],"vector":[215,251],"fields":[216,252],"indexing":[221],"decomposing":[224],"low":[229],"orders.":[230],"proposed":[232],"complex":[233],"based":[235],"on":[236],"tensor":[237],"calculus.":[238],"According":[239],"space":[245],"is":[246,261],"set":[248],"directed":[250],"undergoing":[253],"sampling,":[254],"quantization":[255],"coding":[257],"operations.":[258],"Also":[259],"it":[260],"open":[264],"system":[265],"exchanging":[266],"environment":[270],"at":[271],"given":[273],"level":[274],"identify":[277],"specified":[280],"levels":[281],"reliability,":[284],"uncertainty":[285]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2022-11-01T00:00:00"}