Generalized Arnold map-based optical multiple color-image encoding in gyrator transform domain

Abuturab, Muhammad Rafiq

doi:10.1016/j.optcom.2014.12.085

Cited by 23 publications

(4 citation statements)

References 44 publications

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“…To improve the efficiency of image transmission and communication over a network, more and more multipleimage encryption methods have been proposed [17][18][19][20][21]. Situ and Zhang reported the wavelength multiplexing-based multiple-image encryption scheme [16].…”

Section: Introductionmentioning

confidence: 99%

“…Based on coupled logistic maps and an iterative phase-retrieval process, Sui et al introduced an asymmetric multiple-image encryption technique in the FrFT domain [20], but it has a high computational cost due to its iterative phase-retrieval process. Abuturab designed a multiple-color-image security system based on a generalized Arnold map in the GT domain [21]. However, the plaintexts in most multiple-image encryption methods are manipulated independently, resulting in complicated systems.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

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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“…To resist an attack such as chosen plaintext attack, the components of the QHT-transformed images are permuted by use of the designed scrambling algorithm based on logistic maps. Since the flexible configuration of the GT based system, which means fixed distances between the generalized lenses and the manipulation of the transformation angle using lens rotation, makes the setup useful for image encryption [19], the GT-based DRPE technique is used to encrypt the images after QHT and permutation. The resulting encrypted signal from the cryptosystem is recorded as interferograms by the three-step PSI.…”

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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“…But, PTFT based cryptosystem has also been found a weakness against known public key attack [21]. To overcome this attack, various improved asymmetric encryptions have been proposed [22][23][24][25][26][27]. Furthermore, an asymmetric cryptosystem using random binary phase modulation based on mixture retrieval type of YangGu algorithm has been proposed [28].…”

Section: Introductionmentioning

confidence: 99%

Fully phase multiple information encoding based on superposition of two beams and Fresnel-transform domain

Abuturab¹

2015

Optics Communications

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Generalized Arnold map-based optical multiple color-image encoding in gyrator transform domain

Cited by 23 publications

References 44 publications

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

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

Fully phase multiple information encoding based on superposition of two beams and Fresnel-transform domain

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