Reality-Preserving Multiple Parameter Discrete Fractional Angular Transform and Its Application to Color Image Encryption
Reality-Preserving Multiple Parameter Discrete Fractional Angular Transform and Its Application to Color Image Encryption
复制标题
保真多参数离散分数角变换及其在彩色图像加密中的应用
DOI：
10.1109/tcsvt.2018.2851983
复制
发表时间：
2019-06-01
影响因子：
8.4
通讯作者：
Tao, Ran
中科院分区：
文献类型：
--
作者：
Kang, Xuejing;Ming, Anlong;Tao, Ran
本文首先定义了一种保真实感的多参数分数阶角变换(RPMPDFrAT)，它是一种有用的图像加密工具。在此基础上，提出了一种基于RPMPDFrAT的彩色图像加密算法。加密过程分为两个阶段：空域加密和RPMPDFrAT域加密。在空间域上，通过对偶柱面变换映射图像的三个颜色分量，可以非线性地隐藏原始颜色信息。然后，利用耦合的Logistic映射对中间输出进行置乱，以降低相邻像素之间的相关性，均匀地分配不同颜色分量的图像能量。然后，对置乱后的图像进行RPMPDFrAT变换，保证得到真实的输出。最后，在RPMPDFrAT域中进行了类似于空域的处理，以进一步提高密码系统的安全性。数值仿真结果表明，所提出的图像加密算法是有效的，对密钥敏感。此外，对一些潜在的攻击进行了测试，以验证该方法的健壮性，并且该方法的性能优于以往发表的方法。
In this paper, we first define a reality-preserving multiple parameter fractional angular transform (RPMPDFrAT), which is a useful tool for image encryption. Then, we propose a new color image encryption algorithm based on the defined RPMPDFrAT. The encryption process consists of two phases: encryption in the spatial domain and RPMPDFrAT domain. In the spatial domain, three color components of the plain image are mapped by dual cylindrical transform, which can nonlinearly hide the original color information. Then, the intermediate output is scrambled by a coupled logistic map to reduce the correlation of adjacent pixels and uniformly distribute the image energy of different color components. Thereafter, the scrambled image is transformed by the proposed RPMPDFrAT, which can ensure that we obtain the real-value output. Finally, a process similar to the spatial domain is performed in the RPMPDFrAT domain to further improve the security of the cryptosystem. Numerical simulations are performed and demonstrate that the proposed image encryption algorithm is effective and sensitive to keys. Moreover, some potential attacks are tested to verify the robustness of the proposed method, and the performance of our method outperforms previously published ones.