Double Image Encryption Algorithm Based on Parallel Compressed Sensing and Chaotic System

We propose a double image encryption scheme combining DNA, parallel compressed sensing, enhanced Zigzag confusion, chaotic sparse basis matrix, and chaotic permutation. Firstly, use the logistic map to scramble a Discrete Wavelet Transformation (DWT) matrix to obtain a chaotic DWT matrix. Next, 2D-LICM generates the measurement matrix. Parallel compressed sensing is then performed separately on the two images. Then, enhanced Zigzag confusion and DNA encryption are performed on the new matrix using chaotic sequences to obtain an encrypted image. The chaotic system's initial value is generated using SHA-256, which has a strong sensitivity to the plain image. We improve on the third-order Colpitts chaotic circuit to construct a more general higher-order Colpitts chaotic oscillator and propose a new fourth-order Colpitts chaotic system. The performance analysis indicates that our encryption algorithm provides excellent security and performance while saving storage space.