A method of determining a mathematical transformation to place three-dimensional (3D) coordinates of points measured by an articulated arm coordinate measurement machine (AACMM) and 3D points measured by a scanner in a common coordinate system is provided. The method including providing the 3D scanner and the AACMM having a probe. The scanner and AACMM each have a local frame of reference. Three non-collinear targets are measured with the probe and then with the scanner. 3D probe reference coordinates and 3D scanner reference coordinates are determined based on the measurement of the targets by the AACMM and scanner. The mathematical transformation is determined based at least in part on the 3D probe reference coordinates and the 3D scanner reference coordinates, the mathematical transformation characterized at least in part by a collection of parameters.