Wiener Filters - Obtaining / Estimating Image and Noise Spectrum
You are speaking about so called Wiener deconvolution, because Wiener filter is set by equation $ w = R^{-1}r $, where:


$ R = E[y(n)y(n)^H] $ - autocorrelation matrix of input signal
$ r = E[y(n)s(n)^*] $ - crosscorrelation vector of input signal and original signal. 


So the practical solution when statistics $R$ and $r$ are unknown is the Method of Least Squares, where only data matrix $F$ and part of original signal $s$ are needed. 

In your case you should have some a priori knowledge about formula entities. Try:


  https://www.umanitoba.ca/faculties/medicine/radiology/Dick_Gordon_papers/Dhawan%20et%CAal.%20%281985%29.pdf


or: 


  http://www.eos.ubc.ca/research/cdsst/members/6_96.pdf


It's a pity I only concern this subject in radio applications so there is nothing more to advise.

Hope this helps!