Systems and methods for planning an orthodontic treatment by reconstructing a 3D mesh model of a gingiva associated with an arch form

A system for providing an augmented 3D representation of a given tooth of a patient, the system comprising:

• a processor;
• a non-transitory computer-readable medium comprising instructions;
• the processor, upon executing the instructions, being configured to:
• acquire 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 comprises a 3D mesh having a plurality of mesh elements comprising:
• constrained mesh elements associated with the defined portion;
• unconstrained mesh elements initially associated with the undefined portion;
• generate a set of confirmed constrained mesh elements, including the constrained mesh elements associated with the defined portion, for providing the augmented 3D representation of the given tooth by:
• iteratively, for a given constrained mesh element, identifying at least one associated unconstrained mesh element which is adjacent to the given constrained mesh element in the 3D mesh;
• determining a smoothness parameter associated with a portion of the augmented 3D representation formed by the given constrained mesh element and the at least one associated unconstrained mesh element;
• in response to the smoothness parameter being equal to or below a predetermined smoothness threshold value:
• identifying the at least one associated unconstrained mesh element to be a constrained mesh element associated with the defined portion for inclusion in the set of confirmed constrained mesh elements;
• in response to the smoothness parameter being greater than the predetermined smoothness threshold value, the processor is further configured to:
• identify the at least one associated unconstrained mesh element to be an unconstrained mesh element associated with the undefined portion for exclusion from the set of confirmed constrained mesh elements;
• and
• cause display of the augmented 3D representation of the given tooth based on the set of confirmed constrained mesh elements.