{"id":"https://openalex.org/W4220664961","doi":"https://doi.org/10.1007/s11042-022-12282-8","title":"Robust color image watermarking using multiple fractional-order moments and chaotic map","display_name":"Robust color image watermarking using multiple fractional-order moments and chaotic map","publication_year":2022,"publication_date":"2022-03-19","ids":{"openalex":"https://openalex.org/W4220664961","doi":"https://doi.org/10.1007/s11042-022-12282-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11042-022-12282-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11042-022-12282-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11042-022-12282-8.pdf","source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia Tools and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11042-022-12282-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074599271","display_name":"Khalid M. Hosny","orcid":"https://orcid.org/0000-0001-8065-8977"},"institutions":[{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Khalid M. Hosny","raw_affiliation_strings":["Department of Information Technology, Zagazig University, Zagazig, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Information Technology, Zagazig University, Zagazig, Egypt","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101473699","display_name":"Mohamed Darwish","orcid":"https://orcid.org/0000-0003-3256-8728"},"institutions":[{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohamed M. Darwish","raw_affiliation_strings":["Department of Computer Science, Assiut University, Assiut, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Assiut University, Assiut, Egypt","institution_ids":["https://openalex.org/I91041137"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074599271"],"corresponding_institution_ids":["https://openalex.org/I192398990"],"apc_list":null,"apc_paid":null,"fwci":2.2418,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.89128442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"81","issue":"17","first_page":"24347","last_page":"24375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9958999752998352,"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/T13579","display_name":"Image and Video Stabilization","score":0.9882000088691711,"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-watermarking","display_name":"Digital watermarking","score":0.7961620092391968},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7828932404518127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6430543661117554},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5523781776428223},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49634939432144165},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.4868623614311218},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.45996007323265076},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38723674416542053},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3774026334285736},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.33831897377967834},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3148077130317688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31429240107536316},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.14474517107009888}],"concepts":[{"id":"https://openalex.org/C150817343","wikidata":"https://www.wikidata.org/wiki/Q875932","display_name":"Digital watermarking","level":3,"score":0.7961620092391968},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7828932404518127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6430543661117554},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5523781776428223},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49634939432144165},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4868623614311218},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.45996007323265076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38723674416542053},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3774026334285736},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.33831897377967834},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3148077130317688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31429240107536316},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.14474517107009888},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11042-022-12282-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11042-022-12282-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11042-022-12282-8.pdf","source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia Tools and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11042-022-12282-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11042-022-12282-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11042-022-12282-8.pdf","source":{"id":"https://openalex.org/S110206669","display_name":"Multimedia Tools and Applications","issn_l":"1380-7501","issn":["1380-7501","1573-7721"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia Tools and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324156","display_name":"Zagazig University","ror":"https://ror.org/053g6we49"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4220664961.pdf"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1682463584","https://openalex.org/W1975335207","https://openalex.org/W1977019329","https://openalex.org/W1981991528","https://openalex.org/W2014068846","https://openalex.org/W2035934910","https://openalex.org/W2037876243","https://openalex.org/W2039355212","https://openalex.org/W2054757264","https://openalex.org/W2071700063","https://openalex.org/W2137511130","https://openalex.org/W2139315048","https://openalex.org/W2169013230","https://openalex.org/W2189946347","https://openalex.org/W2498797687","https://openalex.org/W2560798303","https://openalex.org/W2618075512","https://openalex.org/W2792836087","https://openalex.org/W2796279200","https://openalex.org/W2901096848","https://openalex.org/W2901592277","https://openalex.org/W2904080995","https://openalex.org/W2905741893","https://openalex.org/W2908539050","https://openalex.org/W2911963588","https://openalex.org/W2950262130","https://openalex.org/W2951380443","https://openalex.org/W3004014092","https://openalex.org/W3006939537","https://openalex.org/W3007206833","https://openalex.org/W3008581405","https://openalex.org/W3008724443","https://openalex.org/W3008852227","https://openalex.org/W3009336874","https://openalex.org/W3015474035","https://openalex.org/W3017009154","https://openalex.org/W3020813630","https://openalex.org/W3028710606","https://openalex.org/W3041300087","https://openalex.org/W3091781356","https://openalex.org/W3096594426","https://openalex.org/W3104597452","https://openalex.org/W3128723629","https://openalex.org/W3129291083","https://openalex.org/W3136202465","https://openalex.org/W3161616398","https://openalex.org/W3172131108","https://openalex.org/W4248927948"],"related_works":["https://openalex.org/W4294147850","https://openalex.org/W2348706803","https://openalex.org/W3163325460","https://openalex.org/W4321259132","https://openalex.org/W2355167544","https://openalex.org/W2089664810","https://openalex.org/W2072202056","https://openalex.org/W2143985734","https://openalex.org/W2071822563","https://openalex.org/W2367493036"],"abstract_inverted_index":{"Abstract":[0],"Robust":[1],"watermarking":[2,30,45,100,175],"is":[3,52,67,181],"an":[4,93],"effective":[5],"method":[6],"and":[7,13,21,36,72,95,134,159,187,208],"a":[8,53,111,171,190],"promising":[9],"solution":[10],"for":[11,28,151,177],"securing":[12],"protecting":[14],"the":[15,76,89,99,152,200,212],"copyright":[16],"of":[17,39,56,64,80,88,98,162],"digital":[18],"images.":[19,155],"Moments":[20],"moment":[22],"invariants":[23],"have":[24,47],"become":[25],"popular":[26],"tools":[27],"robust":[29,44,113,172],"due":[31],"to":[32,68],"their":[33],"geometric":[34],"invariance":[35],"favorable":[37],"capability":[38],"image":[40,174],"description.":[41],"Many":[42],"moments-based":[43],"schemes":[46,58,82],"been":[48],"proposed.":[49],"However,":[50],"there":[51],"challenging":[54],"problem":[55],"these":[57,65,81,104],"that":[59,199],"should":[60],"be":[61],"addressed.":[62],"One":[63],"problems":[66],"improve":[69],"both":[70],"imperceptibility":[71,210],"robustness.":[73],"In":[74],"contrast,":[75],"other":[77],"problem,":[78],"most":[79],"used":[83],"inefficient,":[84],"traditional":[85],"computation":[86],"methods":[87],"moments,":[90,124],"resulting":[91],"in":[92,106],"inaccurate":[94],"inefficient":[96],"performance":[97],"schemes.":[101],"To":[102],"overcome":[103],"challenges,":[105],"this":[107],"paper,":[108],"we":[109],"propose":[110],"novel":[112],"color":[114,154,173],"image-watermarking":[115],"algorithm":[116],"based":[117,183],"on":[118,184],"new":[119,145,164],"multiple":[120,178],"fractional":[121,144,163],"multi-channel":[122,146,165],"orthogonal":[123,147,166],"fractional-order":[125,129,135],"exponent":[126],"moments":[127,139,148,167],"(MFrEMs),":[128],"polar":[130],"harmonic":[131,137],"transforms":[132],"(MFrPHTs),":[133],"radial":[136],"Fourier":[138],"(MFrRHFMs).":[140],"Firstly,":[141],"highly":[142],"accurate":[143,160],"are":[149,168],"computed":[150],"host":[153],"Then,":[156],"more":[157],"stable":[158],"coefficients":[161],"selected.":[169],"Finally,":[170],"approach":[176,202],"watermarks":[179],"images":[180],"proposed":[182,201],"MFrEMs,":[185],"MFrPHTs,":[186],"MFrRHFMs":[188],"using":[189],"1D":[191],"Sine":[192],"chaotic":[193],"map.":[194],"The":[195],"experimental":[196],"results":[197],"demonstrate":[198],"provides":[203],"robustness":[204],"against":[205],"various":[206],"attacks":[207],"better":[209],"than":[211],"existing":[213],"methods.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}