Applications of Mobius transform in image processing and cryptography

The evaluation results of the Mobius transforms of some often-used waveforms are applied in the image transform. And the method of modulation and demodulation in Chen-Mobius communication systems, which is quite different from the traditional one, is newly used. To make such a processing, the Chen-Mobius inverse transformed functions act as the "modulation" waveforms, and the receiving end coherently "demodulated" by the often-used digital waveforms. Then the image is partitioned in segmentations that are "modulated" and "demodulated" in different waveform sets. Therefore, it's another new method of image cryptography. In additional, the image transform is simulated by the MATLAB software on the computer and the results are discussed in some details.