Do I need to normalize an image before smoothing it with a Gaussian Filter

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I have a real image with range [0 255]. I want to apply Gaussian filter to smooth it. As I know, the Guided filter needs the image to be normalized before being applied. However, I am not sure what is the case for the Gaussian filter. The code example in MATLAB 2015b does not normalize the image before applying the Gaussian filter. My question is: Do I need to normalize the image before smoothing it with Gaussian Filter? Thanks.

%% This code did not normalize image
I = imread('cameraman.tif');
Iblur = imgaussfilt(I, 2);
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