An image coding scheme using parallel compressive sensing for simultaneous compression-encryption applications

Recently, using compressive sensing (CS) as a cryptosystem has drawn attention due to its compressibility and low-complexity during the sampling process. However, when applying such cryptosystem to images, how to protect the privacy of the image while keeping efficiency becomes a challenge. In this paper, we propose a novel image coding scheme that achieves combined compression and encryption under a parallel compressive sensing framework, where both the CS sampling and the CS reconstruction are performed in parallel. In this way, the efficiency can be guaranteed. On the other hand, for security, the resistance to chosen plaintext attack (CPA) is realized with the help of the cooperation between a nonlinear chaotic sensing matrix construction process and a counter mode operation. Furthermore, the defect of energy information leakage in CS-based cryptosystem is also overcome by a diffusion procedure. Experimental and analysis results show the scheme achieves effectiveness, efficiency and high security simultaneously.