{"id":"https://openalex.org/W2121713720","doi":"https://doi.org/10.1109/tip.2015.2397314","title":"Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis","display_name":"Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis","publication_year":2015,"publication_date":"2015-01-27","ids":{"openalex":"https://openalex.org/W2121713720","doi":"https://doi.org/10.1109/tip.2015.2397314","mag":"2121713720"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2015.2397314","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tip.2015.2397314","pdf_url":"https://ieeexplore.ieee.org/ielx7/83/7038243/07024169.pdf","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"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/83/7038243/07024169.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101848162","display_name":"Yi Xu","orcid":"https://orcid.org/0000-0002-5280-6132"},"institutions":[{"id":"https://openalex.org/I4210099312","display_name":"Shandong Jiaotong University","ror":"https://ror.org/01848hk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099312"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Xu","raw_affiliation_strings":["Cooperative Medianet Innovation Center, Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Cooperative Medianet Innovation Center, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I4210099312","https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036418431","display_name":"Licheng Yu","orcid":"https://orcid.org/0000-0002-4943-6732"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Licheng Yu","raw_affiliation_strings":["Department of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA","Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA","institution_ids":["https://openalex.org/I114027177"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035141289","display_name":"Hongteng Xu","orcid":"https://orcid.org/0000-0003-4192-5360"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Hongteng Xu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397026","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0003-1991-119X"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["Department of Computer Science, Colorado State University, Fort Collins, CO, USA","Shanghai Jiao Tong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102719190","display_name":"Truong Q. Nguyen","orcid":"https://orcid.org/0000-0002-5022-063X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Truong Nguyen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101848162"],"corresponding_institution_ids":["https://openalex.org/I183067930","https://openalex.org/I4210099312"],"apc_list":null,"apc_paid":null,"fwci":8.7992,"has_fulltext":true,"cited_by_count":178,"citation_normalized_percentile":{"value":0.98534119,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"24","issue":"4","first_page":"1315","last_page":"1329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9993000030517578,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9993000030517578,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9987000226974487,"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":0.9983000159263611,"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/artificial-intelligence","display_name":"Artificial intelligence","score":0.6483815908432007},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.596473753452301},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5954431891441345},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.5326703786849976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.515507698059082},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5133935213088989},{"id":"https://openalex.org/keywords/color-image","display_name":"Color image","score":0.4775886535644531},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45216548442840576},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4106595814228058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3973965644836426},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.36495059728622437}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6483815908432007},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.596473753452301},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5954431891441345},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.5326703786849976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.515507698059082},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5133935213088989},{"id":"https://openalex.org/C142616399","wikidata":"https://www.wikidata.org/wiki/Q5148604","display_name":"Color image","level":4,"score":0.4775886535644531},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45216548442840576},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4106595814228058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3973965644836426},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.36495059728622437},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tip.2015.2397314","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tip.2015.2397314","pdf_url":"https://ieeexplore.ieee.org/ielx7/83/7038243/07024169.pdf","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"}],"best_oa_location":{"id":"doi:10.1109/tip.2015.2397314","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tip.2015.2397314","pdf_url":"https://ieeexplore.ieee.org/ielx7/83/7038243/07024169.pdf","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"},"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1452551459","display_name":null,"funder_award_id":"61025005","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G1474490597","display_name":null,"funder_award_id":"111 Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1621076312","display_name":null,"funder_award_id":"61221001","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G1707104195","display_name":null,"funder_award_id":"B07022","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G1974128321","display_name":null,"funder_award_id":"B07022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1998903986","display_name":null,"funder_award_id":"12DZ2272600","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G2970926569","display_name":null,"funder_award_id":"B07022","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3034886306","display_name":null,"funder_award_id":"61025005","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3435950671","display_name":null,"funder_award_id":"and Gr","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4892476598","display_name":null,"funder_award_id":"61221001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5643549880","display_name":null,"funder_award_id":"B0702","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6950575921","display_name":null,"funder_award_id":"2010CB731401","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7399142254","display_name":null,"funder_award_id":"61221001","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G764925029","display_name":null,"funder_award_id":"12DZ2272600","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G8308957289","display_name":null,"funder_award_id":"61201384","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8388217314","display_name":null,"funder_award_id":"61025005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8782423893","display_name":null,"funder_award_id":"111 Project","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G89917772","display_name":null,"funder_award_id":"12DZ2272600","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2121713720.pdf","grobid_xml":"https://content.openalex.org/works/W2121713720.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W1494757229","https://openalex.org/W1511909101","https://openalex.org/W1583065847","https://openalex.org/W1655223157","https://openalex.org/W1791560514","https://openalex.org/W1934008669","https://openalex.org/W1967468037","https://openalex.org/W1968978358","https://openalex.org/W1972673941","https://openalex.org/W1973159289","https://openalex.org/W1976293824","https://openalex.org/W1976709621","https://openalex.org/W1986931325","https://openalex.org/W1987129039","https://openalex.org/W1987290323","https://openalex.org/W1989286669","https://openalex.org/W1997201895","https://openalex.org/W1998726530","https://openalex.org/W1999905919","https://openalex.org/W2005876975","https://openalex.org/W2012160771","https://openalex.org/W2023334490","https://openalex.org/W2035192779","https://openalex.org/W2038964396","https://openalex.org/W2040575700","https://openalex.org/W2043571470","https://openalex.org/W2062052599","https://openalex.org/W2069222481","https://openalex.org/W2070721261","https://openalex.org/W2080312287","https://openalex.org/W2081385919","https://openalex.org/W2084716923","https://openalex.org/W2086055091","https://openalex.org/W2097074225","https://openalex.org/W2097622337","https://openalex.org/W2098434088","https://openalex.org/W2101202999","https://openalex.org/W2108019360","https://openalex.org/W2110500134","https://openalex.org/W2111454493","https://openalex.org/W2113331702","https://openalex.org/W2113482204","https://openalex.org/W2113606819","https://openalex.org/W2114122776","https://openalex.org/W2115549875","https://openalex.org/W2116539640","https://openalex.org/W2121058967","https://openalex.org/W2122698737","https://openalex.org/W2123284096","https://openalex.org/W2128659236","https://openalex.org/W2129812935","https://openalex.org/W2137012645","https://openalex.org/W2139451504","https://openalex.org/W2153300685","https://openalex.org/W2153663612","https://openalex.org/W2157529069","https://openalex.org/W2157785665","https://openalex.org/W2160225842","https://openalex.org/W2160547390","https://openalex.org/W2162521467","https://openalex.org/W2167188281","https://openalex.org/W2185573294","https://openalex.org/W2319430565","https://openalex.org/W6630777306","https://openalex.org/W6636979536","https://openalex.org/W6676903177","https://openalex.org/W6677446445","https://openalex.org/W6682594681","https://openalex.org/W6683732952","https://openalex.org/W6686448864"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W2887325221","https://openalex.org/W2084651007","https://openalex.org/W2184550115","https://openalex.org/W3121191907","https://openalex.org/W3019147359","https://openalex.org/W3003926144"],"abstract_inverted_index":{"Traditional":[0],"sparse":[1,31,101,141,150,174],"image":[2,6,47,60,72,153,175,195],"models":[3,151],"treat":[4],"color":[5,13,18,35,46,59,71,116,121,129,165,194],"pixel":[7],"as":[8,20,73,187],"a":[9,21,29,42,74,78,188],"scalar,":[10],"which":[11,107],"represents":[12,69],"channels":[14,19],"separately":[15],"or":[16],"concatenate":[17],"monochrome":[22],"image.":[23],"In":[24,118],"this":[25,119],"paper,":[26],"we":[27],"propose":[28],"vector":[30,136],"representation":[32],"model":[33,68,142,176],"for":[34,45,95,152],"images":[36,112],"using":[37,85],"quaternion":[38,75,105],"matrix":[39],"analysis.":[40],"As":[41],"new":[43,120],"tool":[44,192],"representation,":[48],"its":[49,185],"potential":[50,186],"applications":[51],"in":[52,104,193],"several":[53],"image-processing":[54],"tasks":[55,155],"are":[56],"presented,":[57],"including":[58],"reconstruction,":[61],"denoising,":[62],"inpainting,":[63],"and":[64,183,190,197],"super-resolution.":[65],"The":[66,167],"proposed":[67,140,173],"the":[70,86,100,110,127,139,148,161,172,178],"matrix,":[76],"where":[77],"quaternion-based":[79],"dictionary":[80],"learning":[81],"algorithm":[82],"is":[83,124,143],"presented":[84],"K-quaternion":[87],"singular":[88],"value":[89],"decomposition":[90],"(QSVD)":[91],"(generalized":[92],"K-means":[93],"clustering":[94],"QSVD)":[96],"method.":[97],"It":[98],"conducts":[99],"basis":[102],"selection":[103],"space,":[106,122],"uniformly":[108],"transforms":[109],"channel":[111],"to":[113,157],"an":[114],"orthogonal":[115],"space.":[117],"it":[123],"significant":[125],"that":[126,171],"inherent":[128],"structures":[130],"can":[131],"be":[132],"completely":[133],"preserved":[134],"during":[135],"reconstruction.":[137],"Moreover,":[138],"more":[144],"efficient":[145],"comparing":[146],"with":[147],"current":[149],"restoration":[154],"due":[156],"lower":[158],"redundancy":[159],"between":[160],"atoms":[162],"of":[163],"different":[164],"channels.":[166],"experimental":[168],"results":[169],"demonstrate":[170],"avoids":[177],"hue":[179],"bias":[180],"issue":[181],"successfully":[182],"shows":[184],"general":[189],"powerful":[191],"analysis":[196],"processing":[198],"domain.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":24},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":6}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2016-06-24T00:00:00"}
