Image Reconstruction:Phase vs. Magnitude

Figure 1.(c) shows the Test image reconstructed from MAGNITUDE spectrum only. We can say that the intensity values of LOW frequency pixels are comparatively more than HIGH frequency pixels. f(x,y) is image function and F(u,v) is its 2D Fourier transform

f(x,y)= ∑_(u=0)^(U-1)∑(v=0)^(V-1)\ F(u,v) exp^(1j*2Π*xu)/M) e^(1j*2Π*(vy)/N) --(1)

Figure 1.(d) shows the Test image reconstructed from PHASE spectrum only. We can say that intensity values of HIGH frequency (edges,lines) pixels are comparatively more than LOW frequency pixels.

f(x,y)= ∑_(u=0)^(U-1)∑(v=0)^(V-1)\ exp(j*angle(u,v)) exp^(1j*2Π*xu)/M) * e^(1j*2Π(vy)/N)--(2)

i want to ask that in phase only reconstruction part why do i get only edges or lines,why not low frequency components?? because from the 2nd equation i am not getting any idea that only edge like features are emphasized......

[Gnaneswar Nadh satapathi]

refer Fourier Transform for this

[ramdas patil]

@Gnaneswar Nadh satapathi sir,will u tell me answer about the question..