image noise reduction with binomial low-pass filtering in matlab

main.m
img = imread('input_image.jpg');
img_gray = rgb2gray(img);
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main.m
order = 5;
kernel_size = 2^order - 1; % The kernel size is calculated using the binomial formula
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main.m
kernel = generateBinomialKernel(kernel_size);
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main.m
filtered_img = conv2(double(img_gray), kernel, 'same');
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main.m
filtered_img = uint8(filtered_img);
imshow(filtered_img);
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main.m
img = imread('input_image.jpg');
img_gray = rgb2gray(img);

order = 5;
kernel_size = 2^order - 1;
kernel = generateBinomialKernel(kernel_size);

filtered_img = conv2(double(img_gray), kernel, 'same');
filtered_img = uint8(filtered_img);
imshow(filtered_img);

function kernel = generateBinomialKernel(kernel_size)
    % Generates a binomial filter kernel
    % kernel_size: size of the kernel
    % kernel: the generated kernel
    
    kernel = [1 1];
    for i = 1:kernel_size-2
        kernel = conv(kernel, [1 1]);
    end
    kernel = kernel / sum(kernel);
end
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