function [ image_medianed ] = filter_median( image, median_area )
    if mod(median_area, 2) == 0 || median_area < 3
        exception = MException('VerifyOutput:OutOfBounds', ...
           'Results are outside the allowable limits');
        throw(exception);
    end
    image_medianed = image;
    for y = 1 + floor(median_area / 2):size(image, 1) - floor(median_area / 2),
        for x = 1 + floor(median_area / 2):size(image, 2) - floor(median_area / 2),
            area = image(y - floor(median_area / 2):y + floor(median_area / 2), ...
                x - floor(median_area / 2):x + floor(median_area / 2));
            image_medianed(y, x) = median(reshape(area, [], 1));
        end
    end
end