A visually secure image encryption scheme using newly designed 1D sinusoidal chaotic map and P-tensor product compressive sensing

The traditional image encryption method is to encrypt the plain image (PLI) into a noise-like encrypted image (EI), which can hide the information of the PLI well. However, when the EI is transmitted over the Internet, it is easy to attract the attention of hackers due to its special appearance, and the probability of EI being attacked is also greatly improved. To solve this problem, a visually secure image encryption scheme (VSIES) is proposed in this paper by using the newly designed one-dimensional sinusoidal chaotic (1-DSC) map, P-tensor product compressive sensing and discrete U transform (DUT). First, a key generation mechanism is designed where the secure hash algorithm SHA-512 is used to generate the key parameters. Then, this key is used to control the 1-DSC map to generate a measurement matrix, and the sparse coefficient matrix of the PLI is measured. Next, a double zigzag confusion method is designed to scramble the measurement values and the obtained image is diffused to find the secret image (SE). Finally, in order to randomly embed SE into a carrier image to obtain a cipher image with visually meaningful, a DUT-based embedding technique is proposed. The experimental results show that the information entropy value of the SE generated by the encryption scheme is close to 8, which proves that our encryption scheme has a good encryption effect. The visual security (VIS) of our encrypted images is 10–15 dB higher than some existing VSIES, which fully proves that our proposed encryption scheme has high VIS.