reduce noise by filtering the image with a 5×5 binomial filter. in matlab

To filter an image with a 5×5 binomial filter in MATLAB, you can use the imfilter function.

Here is an example code snippet:

main.m
% read the image
img = imread('image.png');

% define the binomial filter kernel
kernel = [1 4 6 4 1;
          4 16 24 16 4;
          6 24 36 24 6;
          4 16 24 16 4;
          1 4 6 4 1] / 256;

% apply the filter
filtered_img = imfilter(img, kernel);

% display the original and filtered image side by side
subplot(1,2,1); imshow(img); title('Original Image');
subplot(1,2,2); imshow(filtered_img); title('Filtered Image');
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In this example, we read an image from a file and define a 5×5 binomial filter kernel using the coefficients of the binomial expansion. We then apply the filter to the image using the imfilter function and display the original and filtered images side by side using the subplot function. The filtered image should have reduced noise compared to the original image.