Double random-phase encryption based on discrete quaternion fourier-transforms

Wang, Xiaolei; Zhai, Hongchen; Li, Zhilei; Ge, Qi

doi:10.1016/j.ijleo.2010.11.016

Cited by 35 publications

(32 citation statements)

References 11 publications

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“…This is done by setting two random phase masks in the input and the Fourier planes. Since the publication of this method, the DRPE scheme has been applied in different domains, such as fractional Fourier transform (FRT) 9,10 , Fresnel transform (FrT) 11,12,13 , gyrator transform (GT) 14,15 , quaternion Fourier transform 16 , diffractive imaging 17 , dual fractional Fourier-wavelet 18 , fractional Mellin 19 , and Hartley transform 20 . Nevertheless, it has been demonstrated that DRPE scheme is vulnerable to some type of attacks 21,22,23 and due to its high shift sensitivity, it requires high alignment accuracy in the spatial domain systems.…”

Section: Introductionmentioning

confidence: 99%

Optical image encryption technique based on deterministic phase masks

et al. 2016

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Abstract. The double random phase encoding (DRPE) scheme, which is based on a 4f optical correlator system, is considered as a reference for the optical encryption field. In this work, we propose a modification of the classical DRPE scheme based on the use of a novel class of structured phase masks, the deterministic phase masks. In particular, we propose to conduct the encryption process by using two deterministic phase masks, which are built from linear combinations of several sub-keys. For the decryption step, the input image is retrieved by using the complex conjugate of the deterministic phase masks, which were set in the encryption process. This new concept of structured masks gives rise to encryption-decryption keys which are smaller and more compact than those required in the classical DRPE. In addition, we show that our method significantly improves the tolerance of the DRPE method to shifts of the decrypting phase mask -when no shift is applied, it provides similar performance to the DRPE scheme in terms of encryption-decryption results-. This enhanced tolerance to the shift, which is proven by providing numerical simulation results for gray-scale and binary images, may relax the rigidity of an encryptiondecryption experimental implementation set-up. To evaluate the effectiveness of the described method, the meansquare-error (MSE) and the peak signal-to-noise ratio (PSNR) between the input images and the recovered images are calculated. Different studies based on simulated data are also provided to highlight the suitability and robustness of the method when applied to image encryption-decryption processes.

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Section: Introductionmentioning

confidence: 99%

Optical image encryption technique based on deterministic phase masks

et al. 2016

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“…However, the plaintexts in most multiple-image encryption methods are manipulated independently, resulting in complicated systems. Additionally, the increase in keys, such as the whole RPMs that have to be sent to the receiver side for decryption, in the aforementioned DRPE-based encryption schemes make it difficult to save and distribute the keys expediently and safely [22][23].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

2016

Journal of the Optical Society of Korea

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A novel asymmetric multiple-image encryption method using an octonion Fresnel transform (OFST) and a two-dimensional Sine Logistic modulation map (2D-SLMM) is presented. First, a new multiple-image information processing tool termed the octonion Fresneltransform is proposed, and then an efficient method to calculate the OFST of an octonion matrix is developed. Subsequently this tool is applied to process multiple plaintext images, which are represented by octonion algebra, holistically in a vector manner. The complex amplitude, formed from the components of the OFST-transformed original images and modulated by a random phase mask (RPM), is used to derive the ciphertext image by employing an amplitude-and phase-truncation approach in the Fresnel domain. To avoid sending whole RPMs to the receiver side for decryption, a random phase mask generation method based on SLMM, in which only the initial parameters of the chaotic function are needed to generate the RPMs, is designed. To enhance security, the ciphertext and two decryption keys produced in the encryption procedure are permuted by the proposed SLMM-based scrambling method. Numerical simulations have been carried out to demonstrate the proposed scheme's validity, high security, and high resistance to various attacks.

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“…Li and Zhao [16] designed a color image encryption based on the fractional HT. However, the aforementioned encryption methods for color image ignore the potential interactions between different color channels [17,18]. In these methods, a color image is separated into the three color channels, and encryption is carried out in each channel independently.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Color and Grayscale Images Encryption Scheme Based on Quaternion Hartley Transform and Logistic Map in Gyrator Domain

2016

Journal of the Optical Society of Korea

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A hybrid color and grayscale images encryption scheme based on the quaternion Hartley transform (QHT), the two-dimensional (2D) logistic map, the double random phase encoding (DRPE) in gyrator transform (GT) domain and the three-step phase-shifting interferometry (PSI) is presented. First, we propose a new color image processing tool termed as the quaternion Hartley transform, and we develop an efficient method to calculate the QHT of a quaternion matrix. In the presented encryption scheme, the original color and grayscale images are represented by quaternion algebra and processed holistically in a vector manner using QHT. To enhance the security level, a 2D logistic map-based scrambling technique is designed to permute the complex amplitude, which is formed by the components of the QHT-transformed original images. Subsequently, the scrambled data is encoded by the GT-based DRPE system. For the convenience of storage and transmission, the resulting encrypted signal is recorded as the real-valued interferograms using three-step PSI. The parameters of the scrambling method, the GT orders and the two random phase masks form the keys for decryption of the secret images. Simulation results demonstrate that the proposed scheme has high security level and certain robustness against data loss, noise disturbance and some attacks such as chosen plaintext attack.

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Double random-phase encryption based on discrete quaternion fourier-transforms

Cited by 35 publications

References 11 publications

Optical image encryption technique based on deterministic phase masks

Optical image encryption technique based on deterministic phase masks

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

Hybrid Color and Grayscale Images Encryption Scheme Based on Quaternion Hartley Transform and Logistic Map in Gyrator Domain

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