Hi,
I'm just normally a reader of this group, but I had a similar problem
some time ago when I wanted to calibrate a wiimote what can only track
4 dots. My solution was to have a laser-cutted 50x50 cm black acrylic
board with holes in it in a grid. Then you just either manually put a
led in the wholes or develop an Arduino controller for it to make it
automatic. I wanted to make it automatic and I finally I didn't have
time to do it, but I think my solution would have worked well. The
important thing is that for calibration you only need points, and you
can measure them one by one at a time!
Regards,
Zsolt