Novel image encryption scheme based on chaotic signals with finite-precision error

This paper presents a novel framework for generating new chaotic signals for image encryption that is based on the finite precision of computers. First, we select a system from a number of chaotic systems. Next, we obtain a trajectory of this system. Then, another trajectory is obtained by perturbing the initial values of the same chaotic system. Finally, we calculate the evolution error of two trajectories to obtain a new chaotic signal. Our method is successfully applied to simulate three new chaotic signals for image encryption. A novel image cryptography algorithm based on new chaotic signals and true random numbers is developed. These circular diffusion and local versus global scrambling methods are designed. The results show that the proposed method is effective and exhibits a higher level of security than other sophisticated methods.