[millimeterman]

There are already some companies that let you calibrate your TV's colors with your phone camera. Apple TVs do it and adjust the output signal while some new Samsung TVs can do it and actually apply hardware calibration. Adjusting for unevenness in the same way seems potentially harder but doable.

[jimnotgym]

Isn't this done with a ICC profile and a lookup table, in which case varying or across the screen does not sound feasible?