Dear all,
I'm currently trying to understand the 2d fourier shift theorem.
According to what I've learnd so far a translation in the image space leads to differences in phase but not the magnitude in frequency space.
I tried to demonstrate this with a little example but it only worked for shifts in rows but not in columns. Here's the little demo (I'm only showing the magnitude plots here)
clear all
close all
Iin = zeros(128);
Iin(10:20,10:20)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
Iin = zeros(128);
Iin(10:20,20:30)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
Iin = zeros(128);
Iin(20:30,10:20)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
In my opinion all 3 magnitude plots should yield the same result.
Can anyone explain me what I'm doing wrong here?
thank you very much for your help,
best regards,
Mini
I'm currently trying to understand the 2d fourier shift theorem.
According to what I've learnd so far a translation in the image space leads to differences in phase but not the magnitude in frequency space.
I tried to demonstrate this with a little example but it only worked for shifts in rows but not in columns. Here's the little demo (I'm only showing the magnitude plots here)
clear all
close all
Iin = zeros(128);
Iin(10:20,10:20)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
Iin = zeros(128);
Iin(10:20,20:30)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
Iin = zeros(128);
Iin(20:30,10:20)=1;
figure,imagesc(Iin)
Y = fft(Iin);
figure, imagesc(fftshift(log10(abs(Y))));
In my opinion all 3 magnitude plots should yield the same result.
Can anyone explain me what I'm doing wrong here?
thank you very much for your help,
best regards,
Mini