Systems and methods for planning an orthodontic treatment

A system for providing an augmented 3D representation of a given tooth of a patient, the system comprising a processor configured to execute a method, the method comprising:

• acquiring a raw 3D representation of an arch form of the patient, the arch form comprising a gingiva and at least one tooth of the patient,
• the raw 3D representation comprising a defined portion forming part of a surface of the given tooth, and at least one undefined portion not forming part of the surface of the given tooth;
• the raw 3D representation comprising a 3D mesh having a plurality of vertices comprising:
• constrained vertices associated with the defined portion, each constrained vertex having a constrained vertex normal vector;
• unconstrained vertices initially associated with the undefined portion, each unconstrained vertex having an unconstrained vertex normal vector;
• generating a set of confirmed constrained vertices, including the constrained vertices associated with the defined portion, for providing the augmented 3D representation of the given tooth by:
• iteratively, for a given constrained vertex, identifying at least one associated unconstrained vertex which is adjacent to the given constrained vertex in the 3D mesh;
• determining an angular difference between the constrained vertex normal vector of the given constrained vertex and the unconstrained vertex normal vector of the at least one associated unconstrained vertex;
• in response to the angular difference being equal to or below a predetermined threshold value:
• identifying the at least one associated unconstrained vertex to be a constrained vertex associated with the defined portion for inclusion in the set of confirmed constrained vertices;
• in response to the angular difference being above the predetermined threshold value:
• identifying the at least one associated unconstrained vertex to be an unconstrained vertex associated with the undefined portion for exclusion from the set of confirmed constrained vertices;
• causing display of the augmented 3D representation of the given tooth based on the set of confirmed constrained vertices.