Fractional Fourier Transform Phase for Image Matching

Fractional Fourier transform is the generalization of the Fourier transform. In this article the synthesis of phase and magnitude of fractional Fourier transform is demonstrated. The influence of phase and magnitude on the synthesis results is shown. The fractional phase correlation function using fractional Fourier transform is calculated, and it is used for image matching. The use of fractional phase correlation can achieve better results compared to the use of the classical phase correlation. The comparison between phase correlation and fractional phase correlation for biometric iris images is given. The selection of optimal parameter for fractional phase correlation is proposed.