Systems and methods for determining an orthodontic treatment

A computer-implementable method of manufacturing orthodontic appliances for an orthodontic treatment for a subject, the method being executable by a processor of a computing device, the method comprising:

• obtaining, by the processor, a 3D digital model representing a surface of an arch form of the subject, the arch form including a plurality of teeth;
• determining, by the processor, based on the 3D digital model, a current position of a given tooth of the plurality of teeth within the arch form;
• obtaining, by the processor, an indication of a target position for the given tooth;
• determining, by the processor, based on the current and the target position of the given tooth, a tooth movement trajectory of the given tooth during the orthodontic treatment, the tooth trajectory defining a path of the given tooth from the current to the target position thereof, the determining the tooth trajectory comprising determining a movement of the given tooth along the tooth trajectory by:
• determining, by the processor, a plurality of movement components for the given tooth to be performed to displace from the current to the target position;
• obtaining, for a given one of the plurality of movement components, a respective magnitude value,
• the respective magnitude value being indicative of a path length at which the given tooth is to displace towards the target position thereof performing the given one of the plurality of movement components;
• and
• based on the determined tooth trajectory, causing, by the processor, manufacturing of at least one orthodontic appliance using a manufacturing system, for implementing a respective stage of the orthodontic treatment, the at least one orthodontic appliance being configured to cause the given tooth of the subject to perform at least one portion of the given one of the plurality of movement components during the respective stage of the orthodontic treatment.