Image compression and encryption algorithm based on 2D compressive sensing and hyperchaotic system

Aiming at the security and efficiency problems in the process of image transmission, an image compression–encryption scheme based on 2D compressive sensing and hyperchaotic system is proposed in this paper. First, we construct a hyperchaotic system with more complex chaotic behavior, which is used to construct the measurement matrix of compressive sensing. Then, two-dimensional compressive sensing is used to compress the image. Compared with one-dimensional sensing, it achieves faster execution efficiency and better image reconstruction quality. Finally, to improve the encryption security, we use the multiplicative inverse operation in the finite domain to diffuse the cipher image after compressive sensing. The experimental simulation results show that the algorithm in this paper has higher execution efficiency, better image reconstruction quality, great security and robustness.