{"id":"https://openalex.org/W4406168329","doi":"https://doi.org/10.1016/j.jfranklin.2025.107508","title":"Color image watermarking scheme based on singular value decomposition of split quaternion matrices","display_name":"Color image watermarking scheme based on singular value decomposition of split quaternion matrices","publication_year":2025,"publication_date":"2025-01-08","ids":{"openalex":"https://openalex.org/W4406168329","doi":"https://doi.org/10.1016/j.jfranklin.2025.107508"},"language":"en","primary_location":{"id":"doi:10.1016/j.jfranklin.2025.107508","doi":"https://doi.org/10.1016/j.jfranklin.2025.107508","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2025.107508","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5100367295","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0001-6008-630X","observed_orcids":["https://orcid.org/0000-0001-6008-630X"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]},{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN","RU"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia","School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, PR China"],"raw_orcid":"https://orcid.org/0000-0001-6008-630X","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia","institution_ids":["https://openalex.org/I131550537"]},{"raw_affiliation_string":"School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, PR China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050221328","display_name":"Tongsong Jiang","orcid":"https://orcid.org/0000-0002-7990-5800","observed_orcids":["https://orcid.org/0000-0002-7990-5800"]},"institutions":[{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]},{"id":"https://openalex.org/I4405279505","display_name":"Shandong Modern University","ror":"https://ror.org/01k496r06","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405279505"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tongsong Jiang","raw_affiliation_strings":["School of Electronic Information, Shandong Xiandai University, Jinan, 250104, Shandong, PR China","School of Mathematics and Statistics, Linyi University, Linyi, 276005, Shandong, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information, Shandong Xiandai University, Jinan, 250104, Shandong, PR China","institution_ids":["https://openalex.org/I4405279505"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi, 276005, Shandong, PR China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056103860","display_name":"Dong Zhang","orcid":"https://orcid.org/0000-0003-4688-7762","observed_orcids":["https://orcid.org/0000-0003-4688-7762"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dong Zhang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4688-7762","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051813372","display_name":"\u0412. \u0418. \u0412\u0430\u0441\u0438\u043b\u044c\u0435\u0432","orcid":"https://orcid.org/0000-0002-8778-9002","observed_orcids":["https://orcid.org/0000-0002-8778-9002"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V.I. Vasil\u2019ev","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, 677000, Russia","institution_ids":["https://openalex.org/I131550537"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050221328","https://openalex.org/A5056103860"],"corresponding_institution_ids":["https://openalex.org/I131550537","https://openalex.org/I15823474","https://openalex.org/I4405279505"],"apc_list":{"value":3100,"currency":"USD","value_usd":3100},"apc_paid":null,"fwci":1.1825,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76254968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"362","issue":"3","first_page":"107508","last_page":"107508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9994999766349792,"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/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9994999766349792,"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/T10901","display_name":"Advanced Data Compression Techniques","score":9.999999747378752e-05,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":9.999999747378752e-05,"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-watermarking","display_name":"color image watermarking","score":0.9980000257492065},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"singular value decomposition","score":0.9890000224113464},{"id":"https://openalex.org/keywords/copyright-protection","display_name":"copyright protection","score":0.6389999985694885},{"id":"https://openalex.org/keywords/watermark-robustness","display_name":"watermark robustness","score":0.6790000200271606},{"id":"https://openalex.org/keywords/watermark-extraction","display_name":"watermark extraction","score":0.4050000011920929}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.8326035737991333},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7635210752487183},{"id":"https://openalex.org/C150817343","wikidata":"https://www.wikidata.org/wiki/Q875932","display_name":"Digital watermarking","level":3,"score":0.678004264831543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.609986424446106},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5575604438781738},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5407405495643616},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4932672381401062},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.4688017964363098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35112592577934265},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3427296280860901},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3294968605041504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31177031993865967},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29468077421188354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21291878819465637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09821337461471558},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09425503015518188},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08118247985839844},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.053780943155288696},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jfranklin.2025.107508","doi":"https://doi.org/10.1016/j.jfranklin.2025.107508","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2025.107508","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1442213185","display_name":null,"funder_award_id":"202008370340","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G2167031579","display_name":null,"funder_award_id":"075-02-2024-1441","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"},{"id":"https://openalex.org/G2872508834","display_name":null,"funder_award_id":"23\u201071\u201030013","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G3345514949","display_name":null,"funder_award_id":"FSRG-2023-0025","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G7320262641","display_name":null,"funder_award_id":"202108370086","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G7796795735","display_name":null,"funder_award_id":"23-41-00037","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320335564","display_name":"Chinese Government Scholarship","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1974476849","https://openalex.org/W2022361543","https://openalex.org/W2041398628","https://openalex.org/W2062500760","https://openalex.org/W2126836758","https://openalex.org/W2131559909","https://openalex.org/W2554476575","https://openalex.org/W2794893491","https://openalex.org/W2980731865","https://openalex.org/W3006513159","https://openalex.org/W3073271998","https://openalex.org/W3136981602","https://openalex.org/W3188337162","https://openalex.org/W3211443677","https://openalex.org/W4229749525","https://openalex.org/W4280654432","https://openalex.org/W4298009573","https://openalex.org/W4307062502","https://openalex.org/W4320180811","https://openalex.org/W4366265687","https://openalex.org/W4382678841","https://openalex.org/W4383558868","https://openalex.org/W4386823822","https://openalex.org/W4388450571","https://openalex.org/W4391329639"],"related_works":["https://openalex.org/W3006513159","https://openalex.org/W2369537317","https://openalex.org/W2586363962","https://openalex.org/W3136981602","https://openalex.org/W4206457612","https://openalex.org/W2347402515","https://openalex.org/W4403706830","https://openalex.org/W2725142987","https://openalex.org/W2069334553","https://openalex.org/W4394062089"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-01-09T00:00:00"}