{"id":"https://openalex.org/W2348144522","doi":"https://doi.org/10.1109/tip.2016.2567077","title":"Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition","display_name":"Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition","publication_year":2016,"publication_date":"2016-05-11","ids":{"openalex":"https://openalex.org/W2348144522","doi":"https://doi.org/10.1109/tip.2016.2567077","mag":"2348144522","pmid":"https://pubmed.ncbi.nlm.nih.gov/28113719"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2016.2567077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2016.2567077","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5047734953","display_name":"Cuiming Zou","orcid":"https://orcid.org/0000-0002-2283-9048"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Cuiming Zou","raw_affiliation_strings":["Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016962594","display_name":"Kit Ian Kou","orcid":"https://orcid.org/0000-0003-1924-9087"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Kit Ian Kou","raw_affiliation_strings":["Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":"https://orcid.org/0000-0003-1924-9087","affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100449199","display_name":"Yulong Wang","orcid":"https://orcid.org/0000-0002-1033-9281"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yulong Wang","raw_affiliation_strings":["Faculty of Science and Technology, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":null,"apc_paid":null,"fwci":6.1322,"has_fulltext":false,"cited_by_count":190,"citation_normalized_percentile":{"value":0.97739855,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"25","issue":"7","first_page":"3287","last_page":"3302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.9994000196456909,"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/T10057","display_name":"Face and Expression Recognition","score":0.9994000196456909,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11448","display_name":"Face recognition and analysis","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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.8090450763702393},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.7313848733901978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6154910326004028},{"id":"https://openalex.org/keywords/color-image","display_name":"Color image","score":0.5964207649230957},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5495879650115967},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4990692138671875},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.481766939163208},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.4752611517906189},{"id":"https://openalex.org/keywords/facial-recognition-system","display_name":"Facial recognition system","score":0.4386337399482727},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.4369157552719116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33939236402511597},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.25891369581222534},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.22520720958709717}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8090450763702393},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.7313848733901978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6154910326004028},{"id":"https://openalex.org/C142616399","wikidata":"https://www.wikidata.org/wiki/Q5148604","display_name":"Color image","level":4,"score":0.5964207649230957},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5495879650115967},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4990692138671875},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.481766939163208},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.4752611517906189},{"id":"https://openalex.org/C31510193","wikidata":"https://www.wikidata.org/wiki/Q1192553","display_name":"Facial recognition system","level":3,"score":0.4386337399482727},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.4369157552719116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33939236402511597},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25891369581222534},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.22520720958709717},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2016.2567077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2016.2567077","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:28113719","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28113719","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1510840210","display_name":null,"funder_award_id":"FDCT/099/2012/A3","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"},{"id":"https://openalex.org/G437111951","display_name":null,"funder_award_id":"11501015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5543711996","display_name":null,"funder_award_id":"11401606","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G569260430","display_name":null,"funder_award_id":"MYRG2015-00058-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"},{"id":"https://openalex.org/F4320323893","display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia","ror":"https://ror.org/05vna4324"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1482998036","https://openalex.org/W1510982829","https://openalex.org/W1534951689","https://openalex.org/W1733556918","https://openalex.org/W1774526428","https://openalex.org/W1782590233","https://openalex.org/W1826223126","https://openalex.org/W1855615675","https://openalex.org/W1972673941","https://openalex.org/W1974774078","https://openalex.org/W1985287506","https://openalex.org/W1989286669","https://openalex.org/W1998808035","https://openalex.org/W2008340903","https://openalex.org/W2033419168","https://openalex.org/W2038964396","https://openalex.org/W2050834445","https://openalex.org/W2055492845","https://openalex.org/W2058558325","https://openalex.org/W2063095100","https://openalex.org/W2077964948","https://openalex.org/W2090550497","https://openalex.org/W2094646141","https://openalex.org/W2097486709","https://openalex.org/W2111440402","https://openalex.org/W2114595593","https://openalex.org/W2121713720","https://openalex.org/W2123284096","https://openalex.org/W2125874614","https://openalex.org/W2129131372","https://openalex.org/W2129812935","https://openalex.org/W2130480872","https://openalex.org/W2132467081","https://openalex.org/W2133444763","https://openalex.org/W2134309331","https://openalex.org/W2135046866","https://openalex.org/W2135320312","https://openalex.org/W2138019504","https://openalex.org/W2145287260","https://openalex.org/W2154422044","https://openalex.org/W2162033023","https://openalex.org/W2162831671","https://openalex.org/W2163922914","https://openalex.org/W2164278908","https://openalex.org/W2169135699","https://openalex.org/W2244252827","https://openalex.org/W2266447120","https://openalex.org/W2344661575","https://openalex.org/W2994340921","https://openalex.org/W3005708632","https://openalex.org/W3097096317","https://openalex.org/W4292363360","https://openalex.org/W6630659446","https://openalex.org/W6635552349","https://openalex.org/W6638532317","https://openalex.org/W6647505517","https://openalex.org/W6676885845","https://openalex.org/W6677581936"],"related_works":["https://openalex.org/W2562072950","https://openalex.org/W2792489537","https://openalex.org/W2962819983","https://openalex.org/W3019147359","https://openalex.org/W3169734547","https://openalex.org/W4310175020","https://openalex.org/W2742029448","https://openalex.org/W2571757032","https://openalex.org/W2947891047","https://openalex.org/W2078870957"],"abstract_inverted_index":{"Collaborative":[0],"representation-based":[1],"classification":[2],"(CRC)":[3],"and":[4,19,43,73,102,123,150,175],"sparse":[5],"RC":[6,64],"(SRC)":[7],"have":[8],"recently":[9],"achieved":[10],"great":[11],"success":[12,120],"in":[13,24,57,113],"face":[14],"recognition":[15],"(FR).":[16],"Previous":[17],"CRC":[18,71,122],"SRC":[20,75,124],"are":[21,131],"originally":[22],"designed":[23],"the":[25,35,45,50,96,109,118,145,165,168],"real":[26],"setting":[27],"for":[28,66,148,171],"grayscale":[29],"image-based":[30],"FR.":[31],"They":[32],"separately":[33],"represent":[34],"color":[36,41,51,67,87,97,104,173],"channels":[37],"of":[38,99,121,139,167],"a":[39,90,114,127],"query":[40,101,110],"image":[42,88],"ignore":[44],"structural":[46],"correlation":[47],"information":[48],"among":[49],"channels.":[52],"To":[53],"remedy":[54],"this":[55,58,140],"limitation,":[56],"paper,":[59],"we":[60],"propose":[61],"two":[62],"novel":[63],"methods":[65,158,170],"FR,":[68,126],"namely,":[69],"quaternion":[70,74,78],"(QCRC)":[72],"(QSRC)":[76],"using":[77],"\u2113":[79],"<sub":[80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[82],"minimization.":[83],"By":[84],"modeling":[85],"each":[86],"as":[89],"quaternionic":[91],"signal,":[92],"they":[93],"naturally":[94],"preserve":[95],"structures":[98],"both":[100,172],"gallery":[103],"images":[105,112],"while":[106],"uniformly":[107],"coding":[108],"channel":[111],"holistic":[115],"manner.":[116],"Despite":[117],"empirical":[119],"on":[125,159],"few":[128],"theoretical":[129,146],"results":[130],"developed":[132],"to":[133,143],"guarantee":[134,147],"their":[135],"effectiveness.":[136],"Another":[137],"purpose":[138],"paper":[141],"is":[142],"establish":[144],"QCRC":[149],"QSRC":[151],"under":[152],"mild":[153],"conditions.":[154],"Comparisons":[155],"with":[156],"competing":[157],"benchmark":[160],"real-world":[161],"databases":[162],"consistently":[163],"show":[164],"superiority":[166],"proposed":[169],"FR":[174],"reconstruction.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":29},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":28},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":29},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}