Fourier Transform & Inverse Fourier Transform

Aim: To perform Fourier Transform & its Inverse Fourier Transform of an image

Equipments:

Operating System: -     Windows XP

Software: -                   Matlab 7.5, Image Processing Toolbox.

Program:

clc;

clear all;

close all;

A=zeros(30,30);

A(5:24,13:17)=1;

subplot(1,2,1);imshow(A);

title('original image');

F=fft2(A);

subplot(1,2,2);imshow(F);

title('fourier transformed image');

S=abs(F)

Fc=fftshift(F);

S2=log(1+abs(Fc));

figure,subplot(1,2,1);

imshow(Fc);

title('fourier transformed image');

F=ifftshift(Fc)

f1=(ifft2(F));

subplot(1,2,2);

imshow(f1);

title('inverse transform');

Result 1:

Result 2 :