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median and mean filtering.

Hello and thanks for your help

Looking through the documentation I found the function medianblur

it seems to apply the median of a sector of an image defined by a square of some size.

My first question is: Is there something similar but for mean not median??

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my second question is , what if afterwards I want to apply some operation to my original image and to the mean image. (substracting, multiplying by some scalar, adding) . Can I do this just with +.* /. as if images were just simple matrices... (which they are, no???)

Thanks a thousand