Today, the spreading of machine intelligence and the increased computational facilities have opened new possibilities in orthodontics. By combining the methods of computer vision, 3D imaging, and new modeling techniques, new, increased health prevention, aesthetic, and comfortability expectations can be fulfilled together with the requirements of sustainable health promotion and restoration of functional integrity with a decreased burden of harmful radiation load and invasive interventions. In this paper, a new 3D model based designing technique is introduced by which the 3D movements of the teeth (including the roots) can be designed, followed, and kept under control during the whole rehabilitation process. The follow-up of the implementation of the orthodontic treatment planning is important not only when determining the location of the tooth crown but because it enables to carry out the radiation-free monitoring of the planned treatments precisely mapped based on the anatomic aptitudes. This results in the continuous determination of the positions of roots and of their correlation with each other which is an essential condition in regards to the stability of the treatment outcome.