Image protection scheme for bridge management systems based on quantum coupling function

Abstract In light of the growing security concerns surrounding bridge image data, which can result in economic losses or even pose national security risks due to potential data breaches, this research introduces a novel 2D-QMCCCOM hyperchaos model. This model, developed through extensive theoretical analysis, integrates the quantum Monte Carlo method with coupled clustering theory and chaos dynamics. It addresses the shortcomings of conventional chaos models, such as limited interpretability, a restricted chaotic range, and subpar security capabilities. The model demonstrates superior encryption prowess, with a Lyapunov index of 37.2619, a sample entropy of 2.0591, and a 0–1 test score of 0.9916, outperforming existing chaos-based models in key performance metrics. The application of this chaotic model to image encryption is achieved by generating encryption keys utilizing hash functions, which are then employed to disrupt pixel correlations through a comprehensive process that includes pixel diffusion and permutation. This approach substantially bolsters the encryption’s resilience. The encryption scheme excels in performance, with a Peak Signal-to-Noise Ratio (PSNR) of 8.5832, a Structural Similarity Index (SSIM) of 0.009448, a vast key space, high key sensitivity, robust pixel independence, and strong defenses against statistical and differential attacks. Furthermore, the algorithm has been effectively deployed in engineering settings, underscoring its practical utility and feasibility. By tackling the persistent challenges associated with chaos-based encryption, this study presents an innovative and efficient solution to fortify the informational security of bridge management systems.