Minimum Mean Square Error Filter (Wiener Filter)

or least square error filter.
It comes from inverse filter. The inverse filter doesn't handle noise. This method consider images and noise as random variables, and the objective is to find an estimate f' of the uncorrupted image f such that the mean square error between them is minimized
if the noise is zero, the Wiener filter reduces to the inverse filter.

The details and equations are at Digital Image Processing 3rd Ed. by Gonzalez, Page 353