In the digital age, image encryption technology acts as a safeguard, preventing unauthorized access to images. This paper proposes an innovative image encryption scheme that integrates a novel 2D hyper-chaotic map with a newly developed self-adaptive diffusion method. The 2D hyper-chaotic map, namely the 2D-RA map, is designed by hybridizing the Rastrigin and Ackley functions. The chaotic performance of the 2D-RA map is validated through a series of measurements, including the Bifurcation Diagram, Lyapunov Exponent (LE), Initial Value Sensitivity, 0 - 1 Test, Correlation Dimension (CD), and Kolmogorov Entropy (KE). The results demonstrate that the chaotic performance of the 2D-RA map surpasses that of existing advanced chaotic functions. Additionally, the self-adaptive diffusion method is employed to enhance the uniformity of grayscale distribution. The performance of the image encryption scheme is evaluated using a series of indicators. The results show that the proposed image encryption scheme significantly outperforms current state-of-the-art image encryption techniques. Code is available at: https://github.com/Tang-Yiqi/Image-Encryption-Scheme-Based-on-Hyper-Chaotic-Mapping-and-Self-Adaptive-Diffusion Code is available at: https://github.com/Tang-Yiqi/Image-Encryption-Scheme-Based-on-Hyper-Chaotic-Mapping-and-Self-Adaptive-Diffusion

翻译：在数字时代，图像加密技术作为一道安全屏障，能够防止对图像的未授权访问。本文提出了一种创新的图像加密方案，该方案将一种新型二维超混沌映射与新开发的自适应扩散方法相结合。该二维超混沌映射，即2D-RA映射，是通过混合Rastrigin函数和Ackley函数设计而成。通过一系列测量指标验证了2D-RA映射的混沌性能，包括分岔图、李雅普诺夫指数、初值敏感性、0-1测试、关联维数和柯尔莫哥洛夫熵。结果表明，2D-RA映射的混沌性能超越了现有的先进混沌函数。此外，采用自适应扩散方法来增强灰度分布的均匀性。使用一系列指标评估了该图像加密方案的性能。结果表明，所提出的图像加密方案显著优于当前最先进的图像加密技术。代码可在以下地址获取：https://github.com/Tang-Yiqi/Image-Encryption-Scheme-Based-on-Hyper-Chaotic-Mapping-and-Self-Adaptive-Diffusion