Optical Image Encryption Algorithm Based on Coherent Superposition and Equal Modulus Vector Decomposition
ZHANG Bo① LONG Hui① JIANG Feibo②③
①(Department of Information and Engineering, Changsha Normal University, Changsha 410100, China) ②(College of Geosciences and Info-Physics, Central South University, Changsha 410083, China) ③(College of Physics and Information Science, Hunan Normal University, Changsha 410081, China)
Abstract：In order to overcome the defects such as contour emerging induced by the cipher phase information mainly concentrated in the pure phase mask and difficult to resist the amplitude phase retrieval attack in current optical image encryption technology, the optical image encryption algorithm based on coherent superposition and equal modulus vector decomposition is proposed in this paper. Firstly, the optical image is normalized, and the initial value of Logistic map is generated using the pixel characteristics of plaintext, and the random phase mask is outputted by iterative the logistic map. Then the image is modulated by random phase function, and the modulated image is processed based on Fourier transform to output the Fourier spectrum. Then, the Fourier spectrum is decomposed equal module to obtain two masks. Each mask is transformed based on Fourier mechanism with different fractional order. Finally, a one-way coding scheme is designed based on phase - amplitude truncation coding technique to get the amplitude and phase information of each Fourier spectrum, which regards the phase part as coding cipher, and the amplitude information as the decryption key. The input plaintext is transformed into 4 different information of phases and amplitudes using the equal modulus vector decomposition technique to solve effectively the problem of contour representation. The experimental results show that the proposed algorithm has higher security for effectively solving the contour appearance problem compared with current image encryption schemes based on the interference theory.
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