Abstract: A method for digital treatment planning may include defining a set of contact points on a tooth of a patient's dentition and a plurality of connections between pairs of the plurality of contact points. The plurality of connections may include Hookian stiffness parameters of a dental appliance between the plurality of contact points. The method may also include generating a relaxed model of a dental appliance using the plurality of contact points and the plurality of connections. The method may also include generating a deformed model of the dental appliance using the plurality of contact points and plurality of connections. The method may also include transforming the relaxed model to the deformed model to direct the patient dentition towards a target tooth arrangement.

Abstract: Systems and methods of generating an orthodontic model are disclosed. The method may include: generating an initial model of a patient dentition; generating a target model of the patient dentition; defining a plurality of caps and a plurality of links, wherein each link connects two of the plurality of caps; generating a relaxed model of a dental appliance from the plurality of caps and the plurality of links; generating a deformed model of a dental appliance from the plurality of caps and plurality of links; and determining a plurality of movements, wherein the plurality of moments transform the relaxed model to the deformed model and wherein the moments are configured to direct the patient dentition from the initial model to the target model.

Abstract: Systems and methods of generating an orthodontic model are disclosed. The method may include: generating an initial model of a patient dentition; generating a target model of the patient dentition; defining a plurality of caps and a plurality of links, wherein each link connects two of the plurality of caps; generating a relaxed model of a dental appliance from the plurality of caps and the plurality of links; generating a deformed model of a dental appliance from the plurality of caps and plurality of links; and determining a plurality of movements, wherein the plurality of moments transform the relaxed model to the deformed model and wherein the moments are configured to direct the patient dentition from the initial model to the target model.

Abstract: Systems and methods of generating an orthodontic model are disclosed. The method may include: generating an initial model of a patient dentition; generating a target model of the patient dentition; defining a plurality of caps and a plurality of links, wherein each link connects two of the plurality of caps; generating a relaxed model of a dental appliance from the plurality of caps and the plurality of links; generating a deformed model of a dental appliance from the plurality of caps and plurality of links; and determining a plurality of movements, wherein the plurality of moments transform the relaxed model to the deformed model and wherein the moments are configured to direct the patient dentition from the initial model to the target model.

Abstract: Systems and methods of generating an orthodontic model are disclosed. The method may include: generating an initial model of a patient dentition; generating a target model of the patient dentition; defining a plurality of caps and a plurality of links, wherein each link connects two of the plurality of caps; generating a relaxed model of a dental appliance from the plurality of caps and the plurality of links; generating a deformed model of a dental appliance from the plurality of caps and plurality of links; and determining a plurality of movements, wherein the plurality of moments transform the relaxed model to the deformed model and wherein the moments are configured to direct the patient dentition from the initial model to the target model.