Patent attributes
A method of operating a positioning system by registering a first coordinate system of a first positioning system in a second coordinate system of a second positioning system includes determining an interpolation function configured to register the first, non-orthonormal coordinate system in the second, orthonormal coordinate system. Fiducial pairs are collected by the respective positioning systems, each of which contain a respective coordinate in the respective coordinate system, both of which refer to the same physical point in three dimensional space. Establishing a working interpolation function involves an analysis of the fiducial pairs using a thin-plate spline algorithm. The method further includes repeatedly obtaining a first coordinate in the first coordinate system and determining a corresponding second coordinate in the second coordinate system in accordance with the interpolation function.
