基于2D Chebyshev-Sine映射的图像加密算法

2D Chebyshev-Sine map for image encryption

混沌系统因对初始条件和参数具有极度的敏感性、遍历性和不可预测性,被广泛应用于图像加密领域。提出了一种二维映射——二维Chebyshev-Sine映射。通过分析轨迹图得到映射,与其他混沌映射相比,此映射拥有更宽广的混沌范围和良好的遍历性,对初始条件和系统参数具有高度敏感性,实现成本相对较低。基于此,提出了一种线性混合层图像加密算法:通过行移位和列混合有效改变图像像素空间位置和像素频域中的值,同时使用了中国剩余定理的扩散原则。实验仿真结果证明,此加密算法具有抵抗差分攻击和选择明文攻击的性能,且运行速度快,安全性较高。

Chaotic systems are extremely sensitive to initial conditions and system parameters, ergodicity,unpredictable, which are applied to the field of image encryption widely. This paper proposes a new scheme of combining chaos theory and image encryption-2D Chebyshev-Sine map. Through the analysis of the trajectory contours mapping and compared to the other chaos mapping, the map has a wide range of chaos and good ergodicity, is highly sensitive to the initial conditions and system parameters, and the cost is relatively low. On this basis, a linear mixed layer image encryption algorithm is proposed. In this algorithm, row shift and column mixing are used to change the pixel space position and pixel frequency domain, and the diffusion principle of Chinese remainder theorem is used. The results of simulation and analysis show that this encryption algorithm has the advantages of fast running speed,relatively high security, resistance to differential attack and performance against selective plaintext attack.