Should I choose mean or median filter for gaussian noise

Question

I know Gaussian filter will do the best, but now I need to choose from this two. I am not quite sure, please give your suggestions. Thanks!

Answer 1

As a general rule of thumb - if your noise is salt-n-pepper you should use the median filter. If you assume that the original signal is low frequency (like a smooth surface with no texture) then the gaussian filter is a good choice. Box filter (mean) is usually used to approximate the gaussian filter. For removing white noise you could use the Wiener filter.