Mathematical Method for the Definition of a Non Linear Multi Input-One Output Calibration Diagram for a Laser Position Sensor

This article proposes a mathematical approach for the definition of a multiple input calibration diagram, based on a two step sequence, iteratively defining a set of radial basis functions and fitting its parameter to experimental data. Different radial basis functions have been evaluated and compared, focusing on Gaussian and multi-quadratic elements. The case studied used to test this method is the calibration of a bi-dimensional laser based position sensor believe that the method could be generalized and applicable to all transducers presenting multiple outputs, multiple inputs and localized non-linearities.