The image encryption algorithm based on the generalized second-order directional derivative

In order to improve the capability of encryption scheme, we first extended the two dimensional Arnold transformation to three dimensional, and designed one kind of new diffusion equation of the digital image pixel gray value, then introduced a novel digital image encryption algorithm in the paper, which was based on the three-dimensional Arnold transformation and the new diffusion transformation. The large number of simulation results and analysis have both shown that the proposed algorithm has very good permutation and diffusion properties and is a very good encryption algorithm.