Fig. 2

Semiautomatic measurement of the deviation in six degrees of freedom. A Lower dentition in the original position (gray), with the landmarks selected (blue points). The coordinate system was constructed by taking PLANE O as the horizontal plane, X-axis determined by the projection of the connecting line of the contact points of left/right upper first and second premolars onto the horizontal plane, the origin as the midpoint of the projected line, the mid-sagittal plane defined as passing through the origin and perpendicular to the X-axis, and the coronal plane passing through the origin and perpendicular to both the horizontal plane and the mid-sagittal plane. B By selecting the same region on the upper dentition (not shown in the illustration), the scanned model set with the scanned occlusion was registered to the position of the original dentition. C By selecting the same region on the lower dentition (the actual scanned area that was not covered by the splint, circled by the yellow dashed line), the original lower dentition with the coordinate system and landmarks was registered to the scanned lower dentition (red), generating a new coordinate system (green) and five landmarks (green points) with the position of the scanned dentition. D The deviations in translation (transversal, sagittal, and vertical deviations) between the coordinate systems and landmarks (LI, C3, D3, C6, D6) in the scanned (green) and original (blue) positions, and deviations in rotation (pitch, roll, yaw) between the coordinate systems in the scanned (green) and original (blue) positions, were automatically computed. The directions of the arrows represented the positive directions of deviations