Techniques for determining patient teeth positions for orthodontics

At least one computer readable medium comprising instructions that, when executed by at least one processor, perform a method for determining target positions of a patient's teeth for an orthodontic procedure, the method comprising:

• determining a first arch shape for initial positions of the plurality of teeth based on a plurality of feature points that each identifies a location with respect to one of the plurality of teeth;
• determining a plurality of control points for characterizing the first arch shape;
• receiving user input indicative of a change in position of one or more of the plurality of control points, thereby defining a modified plurality of control points;
• determining a second arch shape based on the modified plurality of control points;
• and
• determining positions of a plurality of 3D models of the patient's teeth based on the second arch shape.

A system comprising:

• at least one processor;
• and
• at least one computer readable medium comprising instructions that, when executed by the at least one processor, perform a method for determining positions of a plurality of feature points of a patient's tooth based on a statistical tooth model, the method comprising:
• determining a first arch shape for initial positions of the plurality of teeth based on a plurality of feature points that each identifies a location with respect to one of the plurality of teeth;
• determining a plurality of control points for characterizing the first arch shape;
• receiving user input indicative of a change in position of one or more of the plurality of control points, thereby defining a modified plurality of control points;
• determining a second arch shape based on the modified plurality of control points;
• and
• determining positions of a plurality of 3D models of the patient's teeth based on the second arch shape.