Damped Richardson-Lucy deconvolution?
This 1994 paper suggests a modification to the Richardson-Lucy algorithm that reduces noise amplification in dark areas of an images with a damping factor.
I'm coming from an astrophotography background (I'd like to use Julia to do more of my processing!) so this is of great interest to me personally, but perhaps this may also be helpful for working with dark field microscopy data. I would also be happy to provide my own astrophotographic data if it would be useful for implementing this method.
Is it a simple variation of the standard iterative Lucy Richardson method?
If yes, we could certainly implement it? Maybe starting of by copy paste and modifying it? Are you interested?
My background in statistics isn't great, but from what I understand it is a pretty simple variation: the likelihood function is altered to disfavor changes in regions of the image where the model fits the data.
I can give this a try, but it won't be quick.