{"id":"https://openalex.org/W2974585710","doi":"https://doi.org/10.1109/tip.2019.2941319","title":"Low-Rank Quaternion Approximation for Color Image Processing","display_name":"Low-Rank Quaternion Approximation for Color Image Processing","publication_year":2019,"publication_date":"2019-09-19","ids":{"openalex":"https://openalex.org/W2974585710","doi":"https://doi.org/10.1109/tip.2019.2941319","mag":"2974585710","pmid":"https://pubmed.ncbi.nlm.nih.gov/31545725"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2019.2941319","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2019.2941319","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/A5031480448","display_name":"Yongyong Chen","orcid":"https://orcid.org/0000-0003-1970-1993"},"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":"Yongyong Chen","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004742453","display_name":"Xiaolin Xiao","orcid":"https://orcid.org/0000-0001-8827-3991"},"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"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Xiaolin Xiao","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China","School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009595085","display_name":"Yicong Zhou","orcid":"https://orcid.org/0000-0002-4487-6384"},"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":"Yicong Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.7371,"has_fulltext":false,"cited_by_count":199,"citation_normalized_percentile":{"value":0.98108956,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"29","issue":null,"first_page":"1426","last_page":"1439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9988999962806702,"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/color-image","display_name":"Color image","score":0.6407756805419922},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6102997064590454},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5821593403816223},{"id":"https://openalex.org/keywords/rgb-color-model","display_name":"RGB color model","score":0.4998612403869629},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.4900125563144684},{"id":"https://openalex.org/keywords/inpainting","display_name":"Inpainting","score":0.4841468930244446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4767283499240875},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.46800318360328674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4666841924190521},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.4432600736618042},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.4381556808948517},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4118124842643738},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.39710497856140137},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.3676258325576782},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36310243606567383},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.25219082832336426},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.10156768560409546},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07809358835220337}],"concepts":[{"id":"https://openalex.org/C142616399","wikidata":"https://www.wikidata.org/wiki/Q5148604","display_name":"Color image","level":4,"score":0.6407756805419922},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6102997064590454},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5821593403816223},{"id":"https://openalex.org/C82990744","wikidata":"https://www.wikidata.org/wiki/Q166194","display_name":"RGB color model","level":2,"score":0.4998612403869629},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.4900125563144684},{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.4841468930244446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4767283499240875},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.46800318360328674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4666841924190521},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4432600736618042},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.4381556808948517},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4118124842643738},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.39710497856140137},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.3676258325576782},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36310243606567383},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.25219082832336426},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.10156768560409546},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07809358835220337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2019.2941319","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2019.2941319","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:31545725","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31545725","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":[],"awards":[{"id":"https://openalex.org/G3584286123","display_name":null,"funder_award_id":"MYRG2018-00136-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G397009419","display_name":null,"funder_award_id":"MYRG2016-00123-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"}],"funders":[{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1482071412","https://openalex.org/W1494757229","https://openalex.org/W1504409388","https://openalex.org/W1504424717","https://openalex.org/W1559535184","https://openalex.org/W1902027874","https://openalex.org/W1916337001","https://openalex.org/W1969698720","https://openalex.org/W1978749115","https://openalex.org/W1980119849","https://openalex.org/W1997201895","https://openalex.org/W1999136078","https://openalex.org/W2014311222","https://openalex.org/W2033772417","https://openalex.org/W2043571470","https://openalex.org/W2045377163","https://openalex.org/W2048695508","https://openalex.org/W2068548513","https://openalex.org/W2075547019","https://openalex.org/W2079775628","https://openalex.org/W2085692415","https://openalex.org/W2089269329","https://openalex.org/W2097073572","https://openalex.org/W2103972604","https://openalex.org/W2116539640","https://openalex.org/W2121713720","https://openalex.org/W2129812935","https://openalex.org/W2133665775","https://openalex.org/W2137135002","https://openalex.org/W2143701678","https://openalex.org/W2145962650","https://openalex.org/W2146842127","https://openalex.org/W2167480185","https://openalex.org/W2175634846","https://openalex.org/W2187214659","https://openalex.org/W2208602793","https://openalex.org/W2331296818","https://openalex.org/W2339170012","https://openalex.org/W2340859457","https://openalex.org/W2343434104","https://openalex.org/W2345595902","https://openalex.org/W2348144522","https://openalex.org/W2396267364","https://openalex.org/W2505029951","https://openalex.org/W2517407553","https://openalex.org/W2525120061","https://openalex.org/W2604352400","https://openalex.org/W2611328865","https://openalex.org/W2614611154","https://openalex.org/W2724686744","https://openalex.org/W2752077201","https://openalex.org/W2794771604","https://openalex.org/W2894977338","https://openalex.org/W2900378035","https://openalex.org/W2903706803","https://openalex.org/W2905232803","https://openalex.org/W2963315679","https://openalex.org/W2963585199","https://openalex.org/W2965028812","https://openalex.org/W3100203369","https://openalex.org/W3101501663","https://openalex.org/W3104099693","https://openalex.org/W3122238562","https://openalex.org/W6681456887","https://openalex.org/W6755545130"],"related_works":["https://openalex.org/W2380775572","https://openalex.org/W2213520135","https://openalex.org/W2244018504","https://openalex.org/W4242046654","https://openalex.org/W3174923100","https://openalex.org/W3019147359","https://openalex.org/W3036076234","https://openalex.org/W2613645387","https://openalex.org/W2079258178","https://openalex.org/W3003926144"],"abstract_inverted_index":{"Low-rank":[0],"matrix":[1,137],"approximation":[2,67],"(LRMA)-based":[3],"methods":[4,176],"have":[5],"made":[6],"a":[7,63,79,84,99,142],"great":[8],"success":[9],"for":[10,145,156],"grayscale":[11],"image":[12,81,95,158],"processing.":[13],"When":[14],"handling":[15],"color":[16,22,35,80,94,109,157],"images,":[17],"LRMA":[18],"either":[19],"restores":[20],"each":[21],"channel":[23],"independently":[24],"using":[25,37],"the":[26,31,38,51,93,105,118,122,129,133],"monochromatic":[27],"model":[28,144],"or":[29],"processes":[30],"concatenation":[32,39],"of":[33,50,77,108,132,179],"three":[34],"channels":[36,110],"model.":[40,69],"However,":[41],"these":[42],"two":[43,72],"schemes":[44],"may":[45],"not":[46],"make":[47],"full":[48],"use":[49],"high":[52],"correlation":[53,107],"among":[54],"RGB":[55],"channels.":[56],"To":[57,126],"address":[58],"this":[59],"issue,":[60],"we":[61],"propose":[62],"novel":[64],"low-rank":[65,119,135],"quaternion":[66,101,124,136],"(LRQA)":[68],"It":[70],"contains":[71],"major":[73],"components:":[74],"first,":[75],"instead":[76],"modeling":[78],"pixel":[82],"as":[83,98],"scalar":[85],"in":[86,177],"conventional":[87],"sparse":[88,172],"representation":[89,173],"and":[90,160,174,183],"LRMA-based":[91,175],"methods,":[92],"is":[96,147],"encoded":[97],"pure":[100],"matrix,":[102],"such":[103],"that":[104,164],"cross-channel":[106],"can":[111],"be":[112],"well":[113],"exploited;":[114],"second,":[115],"LRQA":[116,146,165],"imposes":[117],"constraint":[120],"on":[121,150],"constructed":[123],"matrix.":[125],"better":[127,167],"estimate":[128],"singular":[130],"values":[131],"underlying":[134],"from":[138],"its":[139],"noisy":[140],"observation,":[141],"general":[143],"proposed":[148],"based":[149],"several":[151,170],"nonconvex":[152],"functions.":[153],"Extensive":[154],"evaluations":[155],"denoising":[159],"inpainting":[161],"tasks":[162],"verify":[163],"achieves":[166],"performance":[168],"over":[169],"state-of-the-art":[171],"terms":[178],"both":[180],"quantitative":[181],"metrics":[182],"visual":[184],"quality.":[185]},"counts_by_year":[{"year":2026,"cited_by_count":27},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":35},{"year":2023,"cited_by_count":34},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
