All of the complex math and work behind the neg and DIY calibration process has already been figured out and implemented in PiezoDN if you are interested.
No judgement if you want to go you own way, but that may save you some major time and it's continually supported and upgraded.
We've done four workshops so far with this system and it seems to really be the most simple way to both teach alt-process---and to teach how to calibrate.
There is no inversion of the image, no curve adjustments, you don't even need to flip the image 180 degrees anymore, darkroom print matches your screen. All calibration and negative making is taken care of at a lower level. It makes a good teaching tool.
Cheers,
Walker