Abstract: A method for generating and reusing digital setups for an orthodontic treatment path. The method receives a digital 3D model of teeth, optionally performs interproximal reduction on the model, and generates an initial treatment path with stages including an initial, final, and intermediate setups. The method divides the initial treatment path into initial steps of feasible motion of the teeth resulting in a final treatment path with setups corresponding with the initial steps. For a treatment redesign, the method computes new steps of feasible motion for only a portion of the initial treatment path and based upon the initial steps, and generates the final treatment path with new setups corresponding with the new steps. The setups can be used to make orthodontic appliances, such as clear tray aligners.

Abstract: Methods for automatically removing collisions between digital mesh objects and moving digital mesh objects between spatial arrangements. The collisions are removed from a set of digital mesh objects using a perturbation method or a mesh deformation method. After removing the collisions, the digital mesh objects are output in a state without collisions between them. The digital mesh objects can be moved between initial and final states based upon motion constraints of the mesh objects and interpolated states of them between the initial and final states. Based upon the constraints and interpolated states, a number of states for movement of the set of digital mesh objects is determined either collectively for the set or individually for each mesh object. The states can be used as digital setups for dental or orthodontic treatment planning.

Abstract: An automated method for generating a final setup for orthodontic treatment. The method includes receiving a digital 3D model of teeth in an initial state. The method computes a scoring function based upon metrics related to the initial state to generate a corresponding score, perturbs the state of the teeth through translations and rotations of a tooth or set of teeth to generate a perturbed state of the teeth, and updates the state of the teeth based upon the score and the perturbed state of the teeth to generate one or more final setups representing a final state of the teeth after the orthodontic treatment.

Abstract: A method for generating digital setups for an orthodontic treatment path. The method includes receiving a digital 3D model of teeth, performing interproximal reduction (IPR) on the model and, after performing the IPR, generating an initial treatment path with stages including an initial setup, a final setup, and a plurality of intermediate setups. The method also includes computing IPR accessibility for each tooth at each stage of the initial treatment path, applying IPR throughout the initial treatment path based upon the computed IPR accessibility, and dividing the initial treatment path into steps of feasible motion of the teeth resulting in a final treatment path with setups corresponding with the steps. The setups can be used to make orthodontic appliances, such as clear tray aligners, for each stage of the treatment path.