Image encryption algorithm based on improved 3d chaotic cat map

In this paper, we present two new methods for Image Encryption. The first is an image encryption algorithm based on improved 3D cat map and the second method is based on the generalized 3D Arnold transformation. The new algorithm employs Henon map chaotic sequence to generate control parameters of shuffling and uses improved 2D Logistic map sequence to substitute grey values. Shuffling the positions with Henon map and changing the grey values of image pixels with improved 2D Logistic map are combined simultaneously to ensure the security of our scheme. Moreover, the algorithm possesses high security in terms of the resistance to exhaustive attack, statistical attack and cipher-text-only attack. All these will bring about great difficulties to a potential attacker, even if he/she knows the algorithm, he has no way to recover the image if he does not know the parameters of the algorithm. From this point of view, the scrambling technology can be regarded as an encrypting means for digital images with those parameters as secret keys.

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