“…This is because self-calibration methods require the probed points being in a closed set, as the workpiece is rotated or translated. Onishi et al [360] extended their applications to arbitrary 2D geometries, by assuming that the machine's positioning error is in accordance with the rigid-body quasi-static kinematic model reviewed in Section 4.1. The linear axis error motions are unknown variables to be identified, and they are in a closed set, as the object rotates.…”