How would you apply a 7 x 7 Laplacian of Gaussian filter on an image using the Fourier transform in MATLAB?




I = imread('moon.tif');
% Fourier filter must have equal size
laplacian = zeros(size(I));
% Placing our 'Mexican hat' in the left upper corner:
laplacian(1:7,1:7) = [...
0, 0,-1,-1,-1, 0, 0;...
0,-1,-3,-3,-3,-1, 0;...
-1,-3, 0, 7, 0,-3,-1;...
-1,-3, 7,24, 7,-3,-1;...
-1,-3, 0, 7, 0,-3,-1;...
0,-1,-3,-3,-3,-1, 0;...
0, 0,-1,-1,-1, 0, 0]/48;
% Shifting the filter's center to the [1,1] index:
laplacian = circshift(laplacian,-3*[1,1]);
% Apply convolution theorem (multiply in Fourier domain)
LapFilteredImage = real(ifftn(fftn(I).*fftn(laplacian)));
% Show results:
figure;
subplot(1,2,1); imagesc(I); colormap gray;
subplot(1,2,2); imagesc(LapFilteredImage); colormap
gray;

Matlabsolutions.com provides guaranteed satisfaction with a commitment to complete the work within time. Combined with our meticulous work ethics and extensive domain experience, We are the ideal partner for all your homework/assignment needs. We pledge to provide 24*7 support to dissolve all your academic doubts. We are composed of 300+ esteemed Matlab and other experts who have been empanelled after extensive research and quality check.

Matlabsolutions.com provides undivided attention to each Matlab assignment order with a methodical approach to solution. Our network span is not restricted to US, UK and Australia rather extends to countries like Singapore, Canada and UAE. Our Matlab assignment help services include Image Processing Assignments, Electrical Engineering Assignments, Matlab homework help, Matlab Research Paper help, Matlab Simulink help. Get your work done at the best price in industry.