Low Pass Filter in Frequency Domain
In instances when the D0 is a particular nonnegative number and D(u,v) is the distance from the point (u, v) to the center of the filter .
Plot the filter using â€œmeshâ€ or â€œsurfaceâ€; filter the test image â€œimg03.jpgâ€ with an ideal low pass filter with cutoff frequencies set at radii values 5, 30, 80, and 230.
Below is the code that represents the ideal low pass filter. The code can be modified to reflect changes in values of the radial distance DO.
%% Q# 4 Ideal Low Pass Filter
I = imread(â€˜img03.jpgâ€™);%% Reading Input Image
D0 = 80;%% CHANGE the distance parameter and observe the result
d= sqrt(u.^2 + v.^2);%% Calculating the distance
Lfilt = double(d <= D0);%% Creating filter as defined
Lfilt_s = fftshift(Lfilt);
Iff = fft2(I);%% Fourier Transform of the image
Rf = Iff.*Lfilt; %Multiplying filter with the image both in Fourier Domain
R = ifft2(Rf); % Inverse fourier transfrom of the above filtered image
% Displaying the final result
subplot (2,2,2); imshow(I);title(â€˜Original Imageâ€™)
subplot (2,2,4); imshow(R);title(â€˜Resultant Image after Filteringâ€™)
subplot (2,2,[1,3]); mesh(Lfilt_s);title(â€˜Filter Mesh Plot D0 = 5â€™)
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