1. A method for checking tooth positions, wherein an initial three-dimensional volume exposure of teeth to be checked is implemented, wherein the position and orientation of the teeth to be checked are determined based on the initial volume exposure, wherein the teeth to be checked are natural teeth comprised of tooth stumps and tooth roots and/or artificial teeth comprised of artificial tooth stumps and implants, wherein the positional relationship and orientation of the tooth stumps relative to the tooth roots and/or to the implants are determined in particular, characterized in that: to check the tooth positions over a longer period of time at regular time intervals, at least one first optical surface monitoring exposure of the teeth is implemented, wherein using the positional relationship thus determined the position and orientation of the tooth roots and/or of the implants relative to one another and/or relative to a jawbone are determined based on the position of the surfaces of the tooth stumps from the optical surface monitoring exposure; wherein the positional relationship is determined automatically in a computer-assisted process; wherein the teeth including the tooth stumps, the tooth roots and/or the implants are registered automatically using a segmentation process and the positional relationship is subsequently determined automatically in a computer-assisted process; wherein 3D models of the segmented teeth are rotated and/or displaced until the surfaces of the tooth stumps of these 3D models are brought into superposition with the surfaces of the tooth stumps from the optical surface monitoring exposure.