“…Therefore, it is a time-consuming work to completely measure all geometric motion errors of the linear precision stage using the laser interferometer [ 7 , 11 , 12 ]. In recent years, some measurement systems for simultaneously measuring multi-DOF geometric motion errors of a long linear stage of a machine tool have been developed in the literature [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]. For example, for contact measurement, Mura proposed a novel measurement device, consisting of six displacement sensors mounted as a parallel mechanism based on the Stewart theory.…”