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2 Optica Applicata

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Image encryption scheme based on a Gaussian apertured reality-preserving fractional Mellin transform

Wang Mengmeng, Pousset Yannis, Carré Phillippe, Perrine Clency, Zhou Nanrun, Wu Jianhua

Optica Applicata

2020

Vol. 50, nr 3

477--495

An image encryption scheme based on a Gaussian apertured reality-preserving fractional Mellintrans form (GARPFrMT) is proposed. The GARPFrMT was realized in the diffraction domain.The Gaussian aperture, like a soft aperture, improved the amount of light that passed through the lens compared to a hard aperture and reduced the light leakage at the edge of the lens, assisting to some extent in resisting direct attacks. In the proposed scheme, the reality-preserving transform was constructed in the diffraction domain to ensure that the cipher-text is real. The GARPFrMT is a nonlinear transformation used for eliminating potential insecurity existing in the linear image encryption system. In order to further enhance the security of the encryption system, an Arnold transform, and a bitwise XOR operation were employed for permutation and scrambling in the encryption process. Simulation results and theoretical analysis show that the proposed algorithm is feasible and capable of with standing several common attacks.

Compressive-sensing-based double-image encryption algorithm combining double random phase encoding with Josephus traversing operation

Jiang Hao, Nie Zhe, Zhou Nanrun, Zhang Wenquan

Optica Applicata

2019

Vol. 49, nr 3

445--459

A double-image encryption scheme based on compressive sensing is designed by combining a double random phase encoding technique with Josephus traversing operation. Two original images are first compressed and encrypted by compressive sensing in the discrete wavelet domain and then connected into a complex image according to the order of the alternate rows. Moreover, the resulting image is re-encrypted into stationary white noise by a double random phase encoding technique. Lastly, Josephus traversing method is utilized to scramble the transformed image. The initial states of the Henon chaotic map are the secret keys of this double-image encryption algorithm, which can be used to control the construction of the measurement matrix in compressive sensing and generation of the random-phase mask in double random phase encoding. Simulation results show that the proposed double-image encryption algorithm is effective and secure.