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Quaternion discrete fractional Krawtchouk transform and its application in color image encryption and watermarking
Xilin Liu1; Yongfei Wu1; Hao Zhang2; Jiasong Wu3; Liming Zhang4
2021-12-01
Source PublicationSignal Processing
ISSN0165-1684
Volume189Pages:108275
Abstract

This paper extends the traditional discrete fractional Krawtchouk transform (DFrKT) with quaternion theory to quaternion discrete fractional Krawtchouk transform (QDFrKT) for the purpose of color image processing. Also, the implementation of QDFrKT is given from two points of view, i.e. direct computation and calculation with quaternion symplectic form. The detailed mathematical derivation together with definition and some properties of quaternion algebra are provided. In order to evaluate the applicability of the proposed QDFrKT method, two applications are investigated, including color image encryption and color image watermarking. For color image encryption, experiments are conducted on key sensitivity, histogram analysis, and noise attacks; while for color image watermarking, experiments are conducted on watermarking invisibility and the robustness on attacks of media filter, average filter, Gaussian filter, and geometric attacks. Moreover, with the imperfect decryption property of the encryption algorithm, a potential application of the encryption strategy for designing watermarking algorithm is discussed. The promising experiment results demonstrate the effectiveness and efficiency of our proposed QDFrKT based color image encryption and watermarking techniques.

KeywordColor Image Encryption Color Image Watermarking Quaternion Discrete Fractional Krawtchouk Transform
DOI10.1016/j.sigpro.2021.108275
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000702537200001
PublisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
Scopus ID2-s2.0-85112668596
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.College of Data Science, Taiyuan University of Technology, Shanxi, China
2.College of Information and Computer, Taiyuan University of Technology, Shanxi, China
3.School of Computer Science and Engineering, Southeast University, Nanjing, China
4.Faculty of Science and Technology, University of Macau, Macao, Macao
Recommended Citation
GB/T 7714
Xilin Liu,Yongfei Wu,Hao Zhang,et al. Quaternion discrete fractional Krawtchouk transform and its application in color image encryption and watermarking[J]. Signal Processing, 2021, 189, 108275.
APA Xilin Liu., Yongfei Wu., Hao Zhang., Jiasong Wu., & Liming Zhang (2021). Quaternion discrete fractional Krawtchouk transform and its application in color image encryption and watermarking. Signal Processing, 189, 108275.
MLA Xilin Liu,et al."Quaternion discrete fractional Krawtchouk transform and its application in color image encryption and watermarking".Signal Processing 189(2021):108275.
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