Thank you, Steve! :-) *blushing*
And thank you for the explanation. Indeed, the sorted list of possible localisations was the link I was missing.
I called my former colleague Martin Pauli yesterday and in fact, Steve was right all the time and I remembered incorrectly. Martin said, they are using the standard settings for "difference of average" (5 and 15) and are getting reasonable results. Please don't ask, why I was quite sure some weird stuff happened and 10 and 12 were best. Maybe that was a freak measurement. Anyway: Go with the standard settings (5 and 15) and tweak them a little (only) if necesary.
A remark to the Spot search eagerness: Steve pointed out the mechanisms of this value in another
thread. Please be aware that higher values can lead to more false positives. On the other hand, at least in my understanding, if the data is noisy with uneven background, a low value should lead to false negatives, as "the "spot search eagerness" is the amount of consecutive bad spots that the algorithm will look at". Correct me if I'm wrong, Steve.
My idea is, that if you can't sufficiantly get rid of the cell background, there will be some residual bad candidates (coming from bckground and not real spots) pretty much at the top of the sorted list of candidates. So with a low value, you have the risk to skip all the good ones - presumably - in the middle of the list (false negatives). On the other hand, if the value is too high the fitter might even take some of the rubbish at the bottom (false positives).
So either way, I think the "spot search eagernes" is a risky thing. I suppose the best way to find a good value is to artificially create ("simulate") some data and assess false positives, - negatives, precision, recall and the like. I think, I would go with a mockup measurement (the same kind of cell, but no particle marker in it) and than artificially add some spots (at least a few hundred) with a reasonable distribution (I would take random), size(, shape) and brightness (as in your real measurements).
Well, another question just arises: Why do you have background anyway, if you are in TIRF illumination. The penetration depth should be at most ~300 nm. Is there so much (bio-) fluorescence going on in your cells? Or is it more like a HILO illumination? How do you set your microscope to TIRF? And what kind of microscope is it? Self-assembled (you or somebody else) or commercial? Please don't get me wrong. I just want to make sure that your setup is not corrupted. It would not have been the first time to fight data algorithmically because something with the aquisition went wrong. Happened to me once or twice and it took very long to find the bugs ;-)