Development of an Image Encryption Algorithm Based on Compressed Sensing and Chaotic Mapping

A new two-dimensional hyperchaotic mapping is designed based on a two-dimensional discrete mapping, featuring two positive Lyapunov exponents, enhanced randomness, and initial offset boosting. Subsequently, an image encryption algorithm is developed, grounded in chaotic systems, compressed sensing theory, and scrambling-diffusion operations. Validation through histogram, correlation coefficient, and information entropy operations proves the algorithm’s effective image encryption. Robustness is verified through plaintext and differential attacks, and metrics such as peak signal-to-noise ratio and structural similarity index affirm the algorithm’s strong restoring capability.