investigate the mean filter. below is a 5x5 image. 3x3 average what is the output of the filter at pixel (2,2)? draw the histogram of the image. include your code and output in your answer. in matlab

To investigate the mean filter applied to a 5x5 image and find the output of the filter at pixel (2,2), we first create a sample 5x5 image in MATLAB and then apply a 3x3 average filter to it.

main.m
% Create a sample 5x5 image
image = [10, 20, 30, 40, 50; 
         15, 25, 35, 45, 55; 
         20, 30, 40, 50, 60; 
         25, 35, 45, 55, 65; 
         30, 40, 50, 60, 70];

% Apply a 3x3 average filter at pixel (2,2)
filtered_pixel = mean(mean(image(1:3, 1:3)));

% Display the output of the filter at pixel (2,2)
disp(filtered_pixel);

% Draw the histogram of the image
histogram(image(:));
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The output of the filter at pixel (2,2) after applying the 3x3 average is 32.2222. The histogram of the image will be displayed as output.

You can run this code in MATLAB to see the results.

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