The Importance of the Phase in Spectral Analysis of Images

Abstract

An investigation into an interesting property of the Fourier spectral phase is presented. It is shown analytically that an inverse Fourier transform of only the spectral phase term in an image's spectrum produces the line contour image of the original. Also, the effect of the low bits coding of the phase is discussed from the analytical point of view.
Several application examples of these spectral phase properties to engineering technology are shown including a blurred image and a noisy image.