Calibration of a 2-D grid using 1-D length measurements

In this paper a calibration method is described for two-dimensional grid intersections using one-dimensional distance measurements. The evaluation of the measurements requires a non-linear least-squaresapproach for which an iteration schema is developed. The type-A uncertainties are estimated using a Monte-Carlo method. It is shown that for the distances in the grid the same uncertainty is achieved as the uncertainty in the measurements along one line. As an example a measurement of a ball-plate is described with which an uncertainty of 0,35 µm has been achieved.