Systems and methods for determining a jaw curve

A method, executable by a processor, for planning an orthodontic treatment for a patient including determining tooth movement. The method includes obtaining a tooth and gingiva mesh from image data associated with teeth and surrounding gingiva; selecting a primary tooth to be moved to a desired position; displacing a tooth mesh of the primary tooth by a basic step distance toward the desired position determined on a jaw curve obtained for the teeth of the patient; determining if the displaced primary tooth collides with at least one secondary tooth in the desired position; in response to collision, displacing a tooth mesh of the secondary tooth away from the tooth mesh of the primary tooth by the basic step distance; and repeating determination of tooth collisions and displacing tooth contours of colliding teeth until no teeth of the teeth of the patient collide.