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.