2D and 3D compatible chaotic image encryption system based on checkers rules and shift register

The neighboring coordinates are strongly correlated in 3D images, but the encryption format of 3D images is not suitable for 2D image encryption. Thus, a novel compatible chaotic image encryption system based on checkers rules and shift register is proposed in this paper. Firstly, a discrete memristive hyperchaotic map(a discrete hyperchaotic map coupled with a memristor) is used to generate the chaotic sequence of the cryptosystem. The hyperchaotic map is analyzed through Phase diagrams, Lyapunov exponent spectrum(LEs), and bifurcation diagram. Secondly, the data format of a 3D image is converted to a 2D image data format. Then, the checkers rules are used to scramble the 2D image data format. Finally, the scrambled data and the chaotic sequence are converted to character types, and the scrambled data is further encrypted by the shift register principle. The 2D image and 3D image are tested and the results show that the compatibility encryption system has good performance, significantly reducing the correlation among the data.