The authors know that a common and effective way to protect digital images security are to encrypt these images into white noise image. In this study, the authors have designed a new two-dimensional (2D) chaotic system which is derived from two existing one-dimensional (1D) chaotic maps. The simulation results show that the new 2D chaotic system is able to produce many 2D chaotic maps by selecting different 1D chaotic maps, and which have the wider chaotic ranges and more complex chaotic behaviours compared with the existing 1D chaotic maps. In order to investigate its applications, using the proposed 2D chaotic maps, the authors design a novel image encryption algorithm. First of all, the original image is scrambled by using the chaotic sequences which are generated by new 2D chaotic maps, Arnold transform and Hilbert curve. Then the scrambled image is confused and diffused by chaotic sequences. Finally, the performance of the proposed encryption algorithm is simulated and the experimental results show that the validity and reliability of the proposed algorithm is validated.

中文翻译：

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通过使用新型2D混沌系统进行有效的对称图像加密

作者知道，保护数字图像安全性的通用有效方法是将这些图像加密为白噪声图像。在这项研究中，作者设计了一种新的二维（2D）混沌系统，该系统是从两个现有的一维（1D）混沌图中得出的。仿真结果表明，通过选择不同的一维混沌图谱，新的二维混沌系统能够生成许多二维混沌图谱，与现有一维混沌图谱相比，具有更宽的混沌范围和更复杂的混沌行为。为了研究其应用，作者使用提出的2D混沌映射，设计了一种新颖的图像加密算法。首先，通过使用由新的二维混沌图，Arnold变换和希尔伯特曲线生成的混沌序列对原始图像进行加扰。然后，加扰的图像被混沌序列混淆和扩散。最后，对所提算法的性能进行了仿真，实验结果表明所提算法的有效性和可靠性。