Threshold multi-secret sharing scheme based on phase-shifting interferometry

A threshold multi-secret sharing scheme is proposed based on phase-shifting interferometry. The K secret images to be shared are firstly encoded by using Fourier transformation, respectively. Then, these encoded images are shared into many shadow images based on recording principle of the phase-shifting interferometry. In the recovering stage, the secret images can be restored by combining any 2K+1 or more shadow images, while any 2K or fewer shadow images cannot obtain any information about the secret images. As a result, a (2K+1,N) threshold multi-secret sharing scheme can be implemented. Simulation results are presented to demonstrate the feasibility of the proposed method.