Point To Point Curve Inspection Using Arduino And What Sort Of Sensor...?

Sounds sort of like a two-dimensional coordinate measuring machine.

Grind_Bastard:
Those numbers could be interpreted by an utter b*stard like myself and used to correct the process.

Well actually, no. Google up Dr. Deming's "Funnel Experiment". Feedback mechanisms that perform automatic process adjustments increase variation. Now, if we want to discuss process improvement as opposed to correction, then certainly, but that is not something that has to (or should) happen on the production floor.