Color Image Compression and Encryption Algorithm Based on 2D Compressed Sensing and Hyperchaotic System

With the advent of the information security era, it is necessary to guarantee the privacy, accuracy, and dependable transfer of pictures. This study presents a new approach to the encryption and compression of color images. It is predicated on 2D compressed sensing (CS) and the hyperchaotic system. First, an optimized Arnold scrambling algorithm is applied to the initial color images to ensure strong security. Then, the processed images are concurrently encrypted and compressed using 2D CS. Among them, chaotic sequences replace traditional random measurement matrices to increase the system’s security. Third, the processed images are re-encrypted using a combination of permutation and diffusion algorithms. In addition, the 2D projected gradient with an embedding decryption (2DPG-ED) algorithm is used to reconstruct images. Compared with the traditional reconstruction algorithm, the 2DPG-ED algorithm can improve security and reduce computational complexity. Furthermore, it has better robustness. The experimental outcome and the performance analysis indicate that this algorithm can withstand malicious attacks and prove the method is effective.