# Output original image fourier transform filter with

• Lab Report
• 8

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Output: Original Image Fourier Transform Filter with 10 cutoff Frequency Filtered Image Filter with 50 cutoff Frequency Filtered Image Filter with 100 cutoff Frequency Filtered Image T ASK -2: Butterworth Low Pass Filter Code: im=imread('fig.png'); im=rgb2gray(im); fr2=fft2(im2double(im)); fr=fftshift(fr2); [r c]=size(im2double(im)); fitr=zeros(r,c); [u,v]=meshgrid(-(r/2-1):r/2,-(c/2-1):c/2); Do=10; n=20; blpfh=zeros(r,c); blpfh=1./(1+(sqrt(u.^2+v.^2)./Do).^(2*n)); fid=fr.*blpfh; ifid=ifftshift(fid); ifid=ifft2(ifid); subplot(4,2,1),imshow(im),title('Original Image'); subplot(4,2,2),imshow(fr2),title('Fourier Transform'); subplot(4,2,3),imshow(blpfh),title('Filter with 10 cutoff Frequency'); subplot(4,2,4),imshow(ifid),title('Filtered Image'); Do=50; n=20; blpfh=zeros(r,c); blpfh=1./(1+(sqrt(u.^2+v.^2)./Do).^(2*n)); fid=fr.*blpfh; ifid=ifftshift(fid); ifid=ifft2(ifid); subplot(4,2,5),imshow(blpfh),title('Filter with 50 cutoff Frequency');

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subplot(4,2,6),imshow(ifid),title('Filtered Image'); Do=100; n=20; blpfh=zeros(r,c); blpfh=1./(1+(sqrt(u.^2+v.^2)./Do).^(2*n)); fid=fr.*blpfh; ifid=ifftshift(fid); ifid=ifft2(ifid); subplot(4,2,7),imshow(blpfh),title('Filter with 100 cutoff Frequency'); subplot(4,2,8),imshow(ifid),title('Filtered Image'); Output: Original Image Fourier Transform Filter with 10 cutoff Frequency Filtered Image Filter with 50 cutoff Frequency Filtered Image Filter with 100 cutoff Frequency Filtered Image Gaussian Low Pass Filter Code: clc; clear all; close all; im=imread('fig.png'); img=rgb2gray(im); fr2=fft2(im2double(img)); fr=fftshift(fr2); [m n]=size(im2double(img));
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