Ahh yeah I tried stitching together multiple exposures with my LCD contact printing system and could never get it to work reliably. The problem with photo printing vs. lithography is for photo printing you want to display a wide range of tonal values by modulating the UV light intensity, and the human eye/brain is very good at picking up unnatural looking discontinuities, like for example a line of different density at the boundary between two exposures. My understanding of lithography is that you only want to expose or not expose the photo mask, and so stitching together multiple exposures is easier.
I could see that stitching might work if you were doing halftone type exposures, because again each dot is either fully exposed or not at all, and so there would be less visual discontinuity if the boundary between tiles didn't get exactly equal exposure, but I think it would still be a big job.
We also work with gradient exposures (utilizing 256 or more distinct exposure doses). In my opinion, while studying the characteristic curves of photochemical reactions to ensure overlapping areas perform as expected is a difficult task, the main challenge remains precise mechanical alignment. If there are random variations in the stitching position for each exposure, it becomes nearly impossible to manage. This is partly why overlapping results on paper are far inferior to those on silicon or glass; for us, the shrinkage of the paper during the slow drying process causes significant issues.
For the first question, our approach is to build a database, test the parameters required for each light intensity, and then use software to automatically process the splicing. For example, given two images with an overlap length of A, the light intensity on one side of the overlap area gradually decreases to 0 via curve B, while the light intensity on the other side increases from 0 to its normal value via curve C. Different combinations of B, and C are tested until the effect of the overlap area is the same as a normal exposure. Due to the non-linearity of the response, curves B and C may be asymmetrical, and they may differ under low and high light intensities (as you observed some reaction requires an initial energy). However, this is based on the premise that the mechanical motion is precise enough to accurately reproduce A each time.