A three-dimensional measuring system comprising: a master part including a first base part selected from a plurality of base parts, there being at least three fiducial markers affixed to the first base part; a first part-under-test including a second base part selected from the plurality of base parts; a photogrammetry camera configured to image the master part, including the at least three fiducial markers, from a plurality of photogrammetry camera positions to obtain a corresponding plurality of photogrammetry two-dimensional images; a first 3D imager having a first projector and a first camera, the first 3D imager configured to determine 3D coordinates in a first imager frame of reference, characterized in that the system further comprises a second 3D imager having a second projector and a second camera, the second 3D imager configured to determine 3D coordinates in a second imager frame of reference, wherein the system is configured to determine in a system frame of reference a first pose of the first 3D imager and a second pose of the second 3D imager based at least in part on the plurality of photogrammetry 2D images, determined 3D coordinates of at least three fiducial markers from among the at least three fiducial markers in the first imager frame of reference, and determined 3D coordinates of at least three fiducial markers from among the at least three fiducial markers in the second imager frame of reference, and wherein the system is further configured to determine 3D coordinates of the first part-under-test in the system frame of reference based at least in part on the determined first pose, the determined second pose, determined 3D coordinates of the first part-under-test by the first 3D imager in the first imager frame of reference, and determined 3D coordinates of the first part-under-test by the second 3D imager in the second imager frame of reference. a master part including a first base part selected from a plurality of base parts, there being at least three fiducial markers affixed to the first base part; a first part-under-test including a second base part selected from the plurality of base parts; a photogrammetry camera configured to image the master part, including the at least three fiducial markers, from a plurality of photogrammetry camera positions to obtain a corresponding plurality of photogrammetry two-dimensional images; a first 3D imager having a first projector and a first camera, the first 3D imager configured to determine 3D coordinates in a first imager frame of reference, characterized in that the system further comprises a second 3D imager having a second projector and a second camera, the second 3D imager configured to determine 3D coordinates in a second imager frame of reference, wherein the system is configured to determine in a system frame of reference a first pose of the first 3D imager and a second pose of the second 3D imager based at least in part on the plurality of photogrammetry 2D images, determined 3D coordinates of at least three fiducial markers from among the at least three fiducial markers in the first imager frame of reference, and determined 3D coordinates of at least three fiducial markers from among the at least three fiducial markers in the second imager frame of reference, and wherein the system is further configured to determine 3D coordinates of the first part-under-test in the system frame of reference based at least in part on the determined first pose, the determined second pose, determined 3D coordinates of the first part-under-test by the first 3D imager in the first imager frame of reference, and determined 3D coordinates of the first part-under-test by the second 3D imager in the second imager frame of reference. <EOS>