Systems and methods for determining tooth center of resistance

A method for determining a center of resistance point of a tooth for orthodontic treatment planning, the method being executable by a processor, the method comprising:

• obtaining image data associated with a tooth crown of a patient, the image data including a tooth mesh representative of a surface of the tooth crown;
• identifying an internal reference point in the image data, the internal reference point being based on a predetermined internal reference point instruction for locating the internal reference point in a given tooth crown;
• determining a reference plane in the image data, the reference plane crossing the internal reference point and the tooth mesh and being based on a predetermined reference plane instruction for locating the reference plane relative to the internal reference point for a given tooth;
• determining an intersection curve based on an intersection of the reference plane and the tooth mesh, the intersection curve following a shape of the surface of the crown at the reference plane;
• determining a tooth axis of the tooth crown based on the intersection curve by:
• bisecting the intersection curve into two intersection curve parts based on a separation point;
• generating an average intersection curve using the two intersection curve parts;
• generating, based on the average intersection curve, a guide axis using a linear regression algorithm;
• and
• determining the tooth axis based on the guide axis;
• determining a crown height of the tooth crown based on the tooth axis;
• and
• determining the center of resistance of the tooth based on the determined crown height and the determined tooth axis.

A system for determining a center of resistance point of a tooth for orthodontic treatment planning, the system comprising a processor arranged to execute a method, the method comprising:

• obtaining image data associated with a tooth crown of a patient, the image data including a tooth mesh representative of a surface of the tooth crown;
• identifying an internal reference point in the image data, the internal reference point being based on a predetermined internal reference point instruction for locating the internal reference point in a given tooth crown;
• determining a reference plane in the image data, the reference plane crossing the internal reference point and the tooth mesh and being based on a predetermined reference plane instruction for locating the reference plane relative to the internal reference point for a given tooth;
• determining an intersection curve based on an intersection of the reference plane and the tooth mesh, the intersection curve following a shape of the surface of the crown at the reference plane;
• determining a tooth axis of the tooth crown based on the intersection curve by:
• bisecting the intersection curve into two intersection curve parts based on a separation point;
• generating an average intersection curve using the two intersection curve parts;
• generating, based on the average intersection curve, a guide axis using a linear regression algorithm;
• and
• determining the tooth axis based on the guide axis;
• determining a crown height of the tooth crown based on the tooth axis;
• and
• determining the center of resistance of the tooth based on the determined crown height and the determined tooth axis.