It depends on the type of printer, really. Some printers publish a
'dpi', some don't. Generally, they publish DPI to make claims for
marketing people to understand. One could extrapolate a dpi sort of
measurement by calculating how much travel each axis goes in a single
microstep, and say that's the resolution it's capable of.
Layer thickness is really the 'Z' part of it. Look at it this way.
If I'm using .1mm layers, then I've got logically, 254 DPI in Z. I'f
I'm using .5mm layers, I've got 50. But then again, a Dimension SST
1200 prints fine resolution .254mm and gets really good results.
Newer Makerbot printers seem to be able to rival that my having much
thinner layers, but much 'simpler' extruders.
Really, different printers are good at different things. If I want
something HIGHLY accurate, but not good for say, bolting things to, I
might use a different printer then the same parat, which I want to put
a bolt thru.
--
-- Thomas