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Fast Fourier Transform of images
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Image fft
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•
>> I1=imread('lines1.png'); • >> imshow(I1); • >> A1=fft2(I1); • >> A2=fftshift(A1); • >> imshow(A2);
9.
fft transform for
the strip lines image
10.
Original image
11.
•
I1=imread('lines1.png'); • figure(1), imshow(I1); • A1=fft2(I1); • A2=fftshift(A1); • figure(2),imshow(A2); • • [m,n]=size(A2); • • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%Here we retrieve part of the image fourier • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%coefficients%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%% • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% • • A3=A2(0.4*m:m,0.4*n:n); • • figure(3),imshow(uint8(ifft2(A3))); • • title('Restructuring the image after removing some fourier coefficients');
12.
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A3=A2(0.4*m:m,0.4 *n:n); figure(3),imshow(ui nt8(abs((ifft2(A3)))) ); title('Restructuring the image after removing
some fourier coefficients');
14.
•
close all,clear all,clc • I1=imread('lines2.png'); • figure(1), imshow(I1); • A1=fft2(I1); • A2=fftshift(A1); • [m,n]=size(A2); • nn=max(max(A2)); • for i=1:m • for j=1:n • if A2(i,j)==nn • l=i • p=j • end • end • end • xx=(A2==nn); • figure(2),imshow(A2); • • [m,n]=size(A2); • • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%Here we retrieve part of the image fourier • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%coefficients%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% • %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% • • A3=A2(0.45*m:m,0.45*n:n); • • figure(3),imshow(uint8(abs((ifft2(A3))))); • • title('Restructuring the image after removing some fourier coefficients');
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The peak is
at the center for vertical lines and horizontal lines
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