Chaotic image encryption based on bidimensional empirical mode decomposition and double random phase encoding
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Chaotic image encryption based on bidimensional empirical mode decomposition and double random phase encoding Huiqing Huang1
· Yongtao He1 · Shouzhi Yang2 · Ruisong Ye2
Received: 27 August 2019 / Revised: 8 July 2020 / Accepted: 16 July 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, to enhance the security of double random phase encoding (DRPE), Lorenz system and bidimensional empirical mode decomposition (BEMD) are introduced into an image encryption process. By means of BEMD, the original grayscale image is decomposed into three sub-images, then they are diffused and confused by using the pseudorandom sequences generated by Lorenz system. At last, the three result images are encoded by using DRPE, we obtain the color ciphered image. Thorough experimental tests are carried out with detailed analysis, demonstrating the feasibility and high security of the new scheme. Keywords Image encryption · Bidimensional empirical mode decomposition · Double random phase encoding · Lorenz system
1 Introduction With the internet’s rapid development and wide application, the internet’s life is becoming a part of daily life increasingly.increasingly According to statistics, about 70% internet information derives from image information. So the security issue of digital images has attracted more attentions recently. And cryptography is one of the most important methods to guarantee network security, which can prevent the stealing, distorts, duplicates and spreads illegally easily of sensitive information. Therefore, in the past decade, many image encryption algorithms were presented [3, 4, 8, 9, 12, 21, 22, 26, 29, 31–33, 37–39]. Since Matthews introduced chaotic systems into image encryption [15], because chaotic system is sensitive to initial conditions and system parameters and has pseudo-random sequence, interval traversal chaos, these features are suitable for sequence encryption technology. Therefore, in recent decades, image encryption algorithms based on chaos have Huiqing Huang
[email protected] 1
School of Mathematics, Jiaying University, Meizhou, Guangdong 514015, People’s Republic of China
2
Department of Mathematical, Shantou University, Shantou, Guangdong 515063, People’s Republic of China
Multimedia Tools and Applications
attracted a large number of researchers. Wang and his collaborators have proposed several color image encryption algorithms based on chaos theory [10, 11, 28]. In order to increase the security of chaotic image encryption, image encryption algorithm based on chaotic system and other technologies have been proposed [25, 27, 30]. A lot of new image encryption algorithms base on DRPE have been proposed [3, 5, 6, 9, 21, 31] since P. Refregier and B. Javidi proposed DRPE technique in [19]. However, some studies have shown that the DRPE scheme is vulnerable to various attacks including knownplaintext attack, chosen-ciphertext attack and amplitude-phase retrieval-based attack [1, 18, 24, 34]. Therefore, to overcome shortcomings of DRPE in sec
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