Abstract: Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.

Abstract: A system and method for determining a center of resistance of a tooth may include receiving a 3D digital representation of an initial arrangement and a final arrangement of a patient's teeth and determining a 3D treatment plan. The 3D treatment plan may include a plurality of 3D stages for rearranging the teeth from the initial arrangement toward the final arrangement. The method may also include determining, in accordance with the 3D treatment plan, an intended movement of the teeth for each of the stages and deriving, using a 3D resistance model, an applied force system for achieving the intended movement of the teeth for each of the stages. The method may also include deriving 3D geometries of oral appliances for the stages in response to the applied force system. Various other systems and methods are also disclosed.

Abstract: A system and method for determining a center of resistance of a tooth may include receiving a 3D digital representation of an initial arrangement and a final arrangement of a patient's teeth and determining a 3D treatment plan. The 3D treatment plan may include a plurality of 3D stages for rearranging the teeth from the initial arrangement toward the final arrangement. The method may also include determining, in accordance with the 3D treatment plan, an intended movement of the teeth for each of the stages and deriving, using a 3D resistance model, an applied force system for achieving the intended movement of the teeth for each of the stages. The method may also include deriving 3D geometries of oral appliances for the stages in response to the applied force system. Various other systems and methods are also disclosed.

Abstract: Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.

Abstract: Methods and apparatuses (including software) for optimizing dental treatment plans, including for optimizing the treatment plans using dental aligners. These methods and apparatuses may optimize a treatment plan by estimating a difference between a target set of tooth position and a predicted set of tooth positions using the treatment plan using a prediction network trained to use multiple translational and rotational directions for individual teeth as well as reaction forces on the individual teeth based on adjacent teeth.

Abstract: Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.

Abstract: Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.

Abstract: A system and method for determining a center of resistance of a tooth may include receiving a 3D digital representation of an initial arrangement and a final arrangement of a patient's teeth and determining a 3D treatment plan. The 3D treatment plan may include a plurality of 3D stages for rearranging the teeth from the initial arrangement toward the final arrangement. The method may also include determining, in accordance with the 3D treatment plan, an intended movement of the teeth for each of the stages and deriving, using a 3D resistance model, an applied force system for achieving the intended movement of the teeth for each of the stages. The method may also include deriving 3D geometries of oral appliances for the stages in response to the applied force system. Various other systems and methods are also disclosed.

Abstract: Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.