{"id":"https://openalex.org/W4285600964","doi":"https://doi.org/10.1016/j.array.2022.100230","title":"A robust and secure watermarking algorithm based on DWT and SVD in the fractional order fourier transform domain","display_name":"A robust and secure watermarking algorithm based on DWT and SVD in the fractional order fourier transform domain","publication_year":2022,"publication_date":"2022-07-16","ids":{"openalex":"https://openalex.org/W4285600964","doi":"https://doi.org/10.1016/j.array.2022.100230"},"language":"en","primary_location":{"id":"doi:10.1016/j.array.2022.100230","doi":"https://doi.org/10.1016/j.array.2022.100230","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2022.100230","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","oarl","poland-40"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.array.2022.100230","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010180468","display_name":"Ming Tang","orcid":"https://orcid.org/0000-0001-8078-9985","observed_orcids":["https://orcid.org/0000-0001-8078-9985"]},"institutions":[{"id":"https://openalex.org/I14894300","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28","country_code":"CN","type":"education","lineage":["https://openalex.org/I14894300"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ming Tang","raw_affiliation_strings":["Department of Educational Technology, College of Humanities and Education, Foshan University, Foshan, 528000, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-8078-9985","affiliations":[{"raw_affiliation_string":"Department of Educational Technology, College of Humanities and Education, Foshan University, Foshan, 528000, People's Republic of China","institution_ids":["https://openalex.org/I14894300"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039152989","display_name":"Fuken Zhou","orcid":"https://orcid.org/0009-0000-0834-4180","observed_orcids":["https://orcid.org/0009-0000-0834-4180"]},"institutions":[{"id":"https://openalex.org/I4405281471","display_name":"Neusoft Institute Guangdong","ror":"https://ror.org/04cx6w043","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405281471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuken Zhou","raw_affiliation_strings":["Department of Computer Science and Technology, School of Computer, Neusoft Institute Guangdong, Foshan, 528000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, School of Computer, Neusoft Institute Guangdong, Foshan, 528000, People's Republic of China","institution_ids":["https://openalex.org/I4405281471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010180468"],"corresponding_institution_ids":["https://openalex.org/I14894300"],"apc_list":{"value":1350,"currency":"USD","value_usd":1350},"apc_paid":{"value":1350,"currency":"USD","value_usd":1350},"fwci":2.3673,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.90601769,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"15","issue":null,"first_page":"100230","last_page":"100230"},"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":0.0,"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/digital-image-watermarking","display_name":"image watermarking","score":0.8560000061988831},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"discrete wavelet transform","score":0.953000009059906},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"singular value decomposition","score":1.0},{"id":"https://openalex.org/keywords/watermark-robustness","display_name":"watermark robustness","score":0.6129999756813049},{"id":"https://openalex.org/keywords/geometric-attacks","display_name":"geometric attacks","score":0.6890000104904175},{"id":"https://openalex.org/keywords/imperceptibility","display_name":"imperceptibility","score":0.9150000214576721},{"id":"https://openalex.org/keywords/secure-watermarking","display_name":"secure watermarking","score":0.671999990940094}],"concepts":[{"id":"https://openalex.org/C164112704","wikidata":"https://www.wikidata.org/wiki/Q7974348","display_name":"Watermark","level":3,"score":0.8951630592346191},{"id":"https://openalex.org/C150817343","wikidata":"https://www.wikidata.org/wiki/Q875932","display_name":"Digital watermarking","level":3,"score":0.8878685235977173},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.632686972618103},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6124674081802368},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5946763157844543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49006426334381104},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4680345356464386},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4372590482234955},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.4308541715145111},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4280475378036499},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4039727449417114},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.40265336632728577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38798877596855164},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.3603951930999756},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.22088158130645752},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.21974849700927734},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.21424847841262817},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.083138108253479},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.array.2022.100230","doi":"https://doi.org/10.1016/j.array.2022.100230","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2022.100230","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","oarl","poland-40"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c9e8034201e944bb8d9ce1ddc20b41a9","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/c9e8034201e944bb8d9ce1ddc20b41a9","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Array, Vol 15, Iss , Pp 100230- (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.array.2022.100230","doi":"https://doi.org/10.1016/j.array.2022.100230","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2022.100230","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","norway-1","oarl","poland-40"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327069","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W644885648","https://openalex.org/W902524098","https://openalex.org/W1995480895","https://openalex.org/W2021875970","https://openalex.org/W2029378607","https://openalex.org/W2042164651","https://openalex.org/W2047236936","https://openalex.org/W2062604342","https://openalex.org/W2078561052","https://openalex.org/W2079018767","https://openalex.org/W2103320971","https://openalex.org/W2131559909","https://openalex.org/W2132984323","https://openalex.org/W2133001976","https://openalex.org/W2133665775","https://openalex.org/W2134415040","https://openalex.org/W2136506345","https://openalex.org/W2144911307","https://openalex.org/W2156351904","https://openalex.org/W2159390040","https://openalex.org/W2164736805","https://openalex.org/W2201717146","https://openalex.org/W2253210145","https://openalex.org/W2293567455","https://openalex.org/W2326298076","https://openalex.org/W2500339656","https://openalex.org/W2514315863","https://openalex.org/W2518835044","https://openalex.org/W2539473980","https://openalex.org/W2567092197","https://openalex.org/W2620903539","https://openalex.org/W2761507004","https://openalex.org/W2793614911","https://openalex.org/W2806770917","https://openalex.org/W2898851659","https://openalex.org/W2906938975","https://openalex.org/W2922294356","https://openalex.org/W2939401512","https://openalex.org/W2980731865","https://openalex.org/W2996982468","https://openalex.org/W2999616574","https://openalex.org/W3001831163","https://openalex.org/W3005221577","https://openalex.org/W3011958679","https://openalex.org/W3156312363","https://openalex.org/W4211069533"],"related_works":["https://openalex.org/W167041506","https://openalex.org/W2056601196","https://openalex.org/W2791273729","https://openalex.org/W2076156372","https://openalex.org/W2055725523","https://openalex.org/W4383737413","https://openalex.org/W2357187231","https://openalex.org/W2287090865","https://openalex.org/W2350524682","https://openalex.org/W2381476494"],"abstract_inverted_index":{"The":[0],"present":[1],"paper":[2],"aims":[3],"to":[4,28,62,100,112,125],"develop":[5],"and":[6,10,21,37,40,75,97,124,133,167,173,186],"validate":[7],"a":[8,83],"robust":[9],"secure":[11],"watermarking":[12,138,146,160],"algorithm.":[13],"Firstly,":[14],"the":[15,18,22,30,34,42,50,53,57,60,63,67,72,76,79,90,95,105,108,121,131,136,143,149,158,192,196],"algorithm":[16,58,106],"transforms":[17],"cover":[19,35,54,73,96,122],"image":[20,24,36,74,123,178,180],"watermark":[23,38,80,98,102],"separately":[25],"by":[26,148],"FRFT":[27,119],"obtain":[29],"amplitudes":[31],"of":[32,52,66,71,78,118,145,152],"both":[33,94],"image,":[39],"then":[41],"two-level":[43],"DWT":[44,70],"transformation":[45,116,150],"only":[46],"carries":[47],"out":[48],"for":[49,120],"amplitude":[51,77],"image.":[55,81],"Secondly,":[56],"applies":[59],"SVD":[61],"low-frequency":[64],"sub-band":[65],"second":[68],"level":[69],"Thirdly,":[82],"new":[84],"matrix":[85],"is":[86],"constructed":[87],"based":[88],"on":[89],"singular":[91],"values":[92],"from":[93],"images":[99],"embed":[101],"information.":[103],"Lastly,":[104],"takes":[107],"preliminary":[109],"numerical":[110],"calculation":[111],"determine":[113],"an":[114,127],"appropriate":[115],"order":[117,151],"provide":[126],"outstanding":[128],"balance":[129],"between":[130],"imperceptibility":[132,166],"robustness":[134],"in":[135,165,177,189,195],"proposed":[137,159],"scheme.":[139],"Moreover,":[140],"it":[141],"guarantees":[142],"security":[144],"scheme":[147,161],"FRFT.":[153],"Experimental":[154],"results":[155],"demonstrate":[156],"that":[157],"provides":[162],"better":[163],"performance":[164],"resistance":[168],"against":[169],"traditional":[170],"signal":[171],"processing":[172],"geometric":[174],"attacks,":[175],"especially":[176],"rotation,":[179],"cropping,":[181],"average":[182],"filtering,":[183,185],"median":[184],"Gaussian":[187],"filtering":[188],"comparison":[190],"with":[191],"existing":[193],"methods":[194],"literature.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2022-07-16T00:00:00"}