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1

Color image encryption scheme based on quaternion discrete multi-fractional random transform and compressive sensing

Ye Huo-Sheng, Dai Jing-Yi, Wen Shun-Xi, Gong Li-Hua, Zhang Wen-Quan

Optica Applicata

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2021

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Vol. 51, nr 3

349--364

EN

A color image compression-encryption algorithm by combining quaternion discrete multi-fractional random transform with compressive sensing is investigated, in which the chaos-based fractional orders greatly improve key sensitivity. The original color image is compressed and encrypted with the assistance of compressive sensing, in which the partial Hadamard matrix adopted as a measurement matrix is constructed by iterating Chebyshev map instead of utilizing the entire Guassian matrix as a key. The sparse images are divided into 12 sub-images and then represented as three quaternion signals, which are modulated by the quaternion discrete multi-fractional random transform. The image blocking and the quaternion representation make the proposed cryptosystem avoid additional data extension existing in many transform-based methods. To further improve the level of security, the plaintext-related key streams generated by the 2D logistic-sine-coupling map are adopted to diffuse and confuse the intermediate results simultaneously. Consequently, the final ciphertext image is attained. Simulation results reveal that the proposed cryptosystem is feasible with high security and has strong robustness against various attacks.

2

Color image encryption using affine transform in fractional Hartley domain

Singh P., Yadav A. K., Singh K.

Optica Applicata

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2017

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Vol. 47, nr 3

421--433

EN

A novel scheme for color image encryption using the fractional Hartley and affine transforms is proposed. An input color image is first decomposed in its RGB (red, green and blue) components. Each component is bonded with a random phase mask and then subjected to a fractional Hartley transform followed by affine transform. Thereafter, a second random phase mask is applied to each component before the final transformation by fractional Hartley transform resulting in a component-wise encrypted image. Finally, all three components are combined to give a single channel encrypted image. The scheme is validated with numerical simulations performed on a color image of size 256 × 256 × 3 pixels using MATLAB 7.14. The use of affine transform along with fractional Hartley transform adds to the security. The scheme is evaluated for its sensitivity to the parameters of the fractional Hartley and affine transforms. On analysing the plots of correlation coefficient and mean-squared-error, the scheme is found to be highly sensitive to the encryption parameters. Also, it is evaluated for its robustness against the usual noise and occlusion attacks. The proposed scheme is secure and robust owing to multiplicity of encryption parameters introduced through the type of transforms used.

3

A simple and practical color image encryption with the help of QR code

Deng X, Zhu X.

Optica Applicata

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2015

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Vol. 45, nr 4

513--521

EN

A simple and practical color image encryption is proposed with the help of quick response (QR) code. The original color image to be encoded is firstly transformed into the corresponding QR code, and then a joint transform correlator encrypting architecture is used to encode the corresponding QR code into a positive ciphertext. In the decryption, the corresponding QR code can be restored with the correct decryption key, and hence the original color image can be retrieved without any quality loss by scanning the restored QR code with a smartphone. Compared with the reported color image encryption techniques, the proposed technique does not need to convert color image (RGB) into indexed image formats or segregate into three color components prior to encryption and hence the corresponding reverse processes also are not required after decryption. Moreover, with the help of the QR code, the proposed method has strong tolerance to speckle noise and other noises resulting from optical system. In addition, the proposed method is practical because its ciphertext is a positive image and can be printed directly or manufactured as a card. The feasibility and effectiveness of the proposed method are demonstrated by numerical results.