Natural images phase encoding and encryption with the same spectrum amplitude

Different images have different amplitude spectrums. However, in this paper, with the proposed phase-key algorithm, we can make a series of images have the same amplitude spectrum but different phase key in the frequency domain. It is useful for image encryption, data compression, image transformation, and reducing the distortion in communication. Our algorithm can be applied for not only the FT but also all the operations with conjugate symmetric kernels. Moreover, we can also reverse the direction of the algorithm, i.e., make a series of images have the same phase spectrum and use the amplitude spectra to distinguish different images.