Image encryption with chaotic map and Arnold transform in the gyrator transform domains

Jun Sang; Hongling Luo; Jun Zhao; Mohammad S. Alam; Bin Cai

doi:10.1117/12.2266359

1 May 2017 Image encryption with chaotic map and Arnold transform in the gyrator transform domains

Jun Sang, Hongling Luo, Jun Zhao, Mohammad S. Alam, Bin Cai

Proceedings Volume 10203, Pattern Recognition and Tracking XXVIII; 102030P (2017) https://doi.org/10.1117/12.2266359
Event: SPIE Defense + Security, 2017, Anaheim, CA, United States

Abstract

An image encryption method combing chaotic map and Arnold transform in the gyrator transform domains was proposed. Firstly, the original secret image is XOR-ed with a random binary sequence generated by a logistic map. Then, the gyrator transform is performed. Finally, the amplitude and phase of the gyrator transform are permutated by Arnold transform. The decryption procedure is the inverse operation of encryption. The secret keys used in the proposed method include the control parameter and the initial value of the logistic map, the rotation angle of the gyrator transform, and the transform number of the Arnold transform. Therefore, the key space is large, while the key data volume is small. The numerical simulation was conducted to demonstrate the effectiveness of the proposed method and the security analysis was performed in terms of the histogram of the encrypted image, the sensitiveness to the secret keys, decryption upon ciphertext loss, and resistance to the chosen-plaintext attack.

Citation Download Citation

Jun Sang, Hongling Luo, Jun Zhao, Mohammad S. Alam, and Bin Cai "Image encryption with chaotic map and Arnold transform in the gyrator transform domains", Proc. SPIE 10203, Pattern Recognition and Tracking XXVIII, 102030P (1 May 2017); https://doi.org/10.1117/12.2266359

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