Mathematical method for the definition of a non linear multi input - one output calibration diagram of laser positioning sensor

Modern industry requires more and more types of sensors for system
measurement and control, moreover, new sensors of increasing complexity are constantly being developed, more often than before presenting non-standard
properties, such as a strongly non-linear behaviour or the simultaneous presence
of multiple, interconnected, inputs and outputs.
A problem getting more and more relevance for sensors like these is calibration.
Classic linear calibration procedures, when applied to these sensors, result in poor accuracy and are in general not satisfying at all.