The high pass filter can be obtained from low pass filter in frequency domain by,
Apply the high pass filter to the â€œimg03.jpgâ€ and report what you get.
The code for Ideal High pass filter is given below where the values for D0 can be easily modified.
%% Ideal High Pass Filter
I = imread(â€˜img03.jpgâ€™); %% Reading Input Image
[m,n]=size(I); %% finding size of image and stroing in m and n
D0 = 5;%% 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
Hfilt = 1-Lfilt;%% Generating High pass filter from low pass filter
Hfilt_s = fftshift(Hfilt);%% Shitfing the DC componnet to centre
Iff = fft2(I);%% Fourier Transform of the image
Rf = Iff.*Hfilt; %Multiplying filter with the image both are in Fourier Domain
R = ifft2(Rf); % Inverse fourier transfrom of the above filtered image
% Displaying the original image
subplot (2,2,2); imshow(I);title(â€˜Original Imageâ€™)
% Displaying the final result
subplot (2,2,4); imshow(R,);title(â€˜Resultant Image after Filteringâ€™)
% Displaying the mesh plot of filter tranfer function
subplot (2,2,[1,3]); mesh(Hfilt_s);title(â€˜Filter Mesh Plot D0 = 5â€™)
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