1. A method for checking tooth positions, the method comprising: determining a positional relationship between a surface of a tooth stump and a position of a tooth root or implant based on three-dimensional volume data from an initial radiographic exposure, wherein (i) the tooth stump and the tooth root are part of a same tooth, or (ii) the tooth stump is attached to the implant; calculating an initial position and orientation of the tooth root or implant relative to a jawbone using the positional relationship between the surface of the tooth stump and the position of the tooth root or implant; and calculating an altered position and orientation of the tooth root or implant relative to the jawbone using (i) non-radiographic data of the surface of the tooth stump acquired after the initial radiographic exposure, and (ii) the determined positional relationship between the surface of the tooth stump and the position of the tooth root or implant, wherein the altered position and orientation of the tooth root or implant is different from the initial position and orientation of the tooth root or implant.