Abstract: A method and a system for manufacturing an orthodontic appliance are provided. The method comprises: receiving a 3D mesh including a plurality of inner vertices representative of an inner surface of the appliance; generating a reference plane positioned relative to the arch form 3D mesh according to a predetermined position; determining, based on the 3D mesh, for each one of the plurality of inner vertices, a respective distance to the reference plane, the respective distance being indicative of a thickness of the appliance after forming; generating, based on the respective distance, a plurality of outer vertices representative of an outer surface of the appliance; generating, based on the plurality of inner vertices and the plurality of outer vertices, an appliance 3D representation of the appliance including data indicative of the thickness of the appliance; causing the manufacturing of the appliance based on the appliance 3D representation.

Abstract: Method for determining a coupling point for an attachment on a tooth of a subject comprising: obtaining a digital 3D representation of the tooth to which the attachment will be coupled; obtaining attachment data indicative of the attachment to be coupled to the tooth; determining, on the digital 3D representation of the tooth, a plurality of excluded areas for the coupling point based on the digital 3D representation of the tooth and the attachment data; determining the coupling point by identifying an area on the tooth which is not in the plurality of excluded areas; and storing, in a memory of the computer system, the determined coupling point.

Abstract: Methods and systems for determining an orthodontic treatment for a subject are provided. The methods comprises: acquiring a 3D representation of an arch form including that of a gingiva of the subject; obtaining a plurality of segmentation loops; determining, between each pair of adjacent segmentation loops of the plurality of segmentation loops, a midpoint, thereby generating a plurality of primary midpoints; based on the plurality of midpoints, generating a primary central curve; generating, based on the primary central curve, a first inner mesh curve and a first outer mesh curve; generating a first segment of the reconstructed 3D representation of the gingiva by joining each one from the plurality of primary midpoints with respective ones from the first plurality of inner midpoints and from the first plurality of outer midpoints; and causing display of the first segment of the reconstructed 3D representation of the gingiva.

Abstract: A method and a system for determining a center of resistance point of a tooth for orthodontic treatment planning are provided. The method comprises: obtaining a tooth mesh from image data associated with a tooth crown of a patient; identifying a mesiodistal center of the tooth crown; determining a reference plane in the image data to extend through the mesiodistal center; 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; 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.

Abstract: A method and a system for determining an orthodontic treatment for a subject are provided. The method comprises: acquiring a raw 3D representation of a subject's arch form comprising a 3D mesh having a plurality of mesh elements further comprising: constrained mesh elements associated with a defined portion; unconstrained mesh elements initially associated with an undefined portion; generating a set of confirmed constrained mesh elements for providing the augmented 3D representation of the given tooth by: iteratively, for a given constrained mesh elements, identifying at least one associated unconstrained mesh element adjacent to the given constrained vertex in the 3D mesh, and based on an associated smoothness parameter, identifying the at least one associated unconstrained mesh element either to be a constrained mesh element or an unconstrained mesh element; causing display of the augmented 3D representation of the given tooth based on the set of confirmed constrained mesh elements.

Abstract: Methods, systems, and apparatuses are described for determining deformation of gingiva. A three-dimensional (3D) digital model of an archform comprising a representation of gingiva and a tooth may be received. The 3D model may comprise a 3D mesh describing a surface of the gingiva, the tooth, and a contour between the gingiva and the tooth. A tooth-movement displacement may be applied to the vertices corresponding to the tooth in the 3D mesh and the vertices corresponding to the contour. A vertex-specific displacement may be determined for each of the vertices corresponding to the gingiva by solving a harmonic equation. The 3D digital model may be updated.

Abstract: Methods, systems, and apparatuses are described for generating an interdental filler model for a patient. Locations for ends of the interdental filler model may be determined. A curvature of the interdental filler model may be determined. A shape of the interdental filler model may be determined. A first arc may be determined for a first end of the interdental filler model and a second arc may be determined for a second end of the interdental filler model. A set of arcs may be interpolated between the first arc and the second arc. The set of arcs may be grounded on the patient's gingiva. The interdental filler model may be generated based on the set of arcs.

Abstract: A method and a system for manufacturing an orthodontic appliance are provided. The method comprises: receiving a 3D mesh including a plurality of inner vertices representative of an inner surface of the appliance; generating a reference plane positioned relative to the arch form 3D mesh according to a predetermined position; determining, based on the 3D mesh, for each one of the plurality of inner vertices, a respective distance to the reference plane, the respective distance being indicative of a thickness of the appliance after forming; generating, based on the respective distance, a plurality of outer vertices representative of an outer surface of the appliance; generating, based on the plurality of inner vertices and the plurality of outer vertices, an appliance 3D representation of the appliance including data indicative of the thickness of the appliance; causing the manufacturing of the appliance based on the appliance 3D representation.

Abstract: Method for determining a coupling point for an attachment on a tooth of a subject comprising: obtaining a digital 3D representation of the tooth to which the attachment will be coupled; obtaining attachment data indicative of the attachment to be coupled to the tooth; determining, on the digital 3D representation of the tooth, a plurality of excluded areas for the coupling point based on the digital 3D representation of the tooth and the attachment data; determining the coupling point by identifying an area on the tooth which is not in the plurality of excluded areas; and storing, in a memory of the computer system, the determined coupling point.

Abstract: A method for determining a jaw curve for orthodontic treatment planning for a patient, the method being executable by a processor. The method includes obtaining a tooth and gingiva mesh from image data associated with teeth and surrounding gingiva of the patient, the mesh being representative of a surface of the teeth and the surrounding gingiva; obtaining a tooth contour of each tooth, the tooth contour being defined by a border between a visible portion of each tooth and the surrounding gingiva; determining a tooth contour center of each tooth, the tooth contour center of a given tooth being an average point of the tooth contour of the given tooth; projecting the tooth contour center of each tooth onto a jaw plane; and fitting the tooth contour center of each tooth to a curve to determine the jaw curve.

Abstract: A method and a system for determining a cut line of an aligner are provided. The method comprises: obtaining 3D model data of a plurality of teeth and a gingiva of a subject; obtaining, using the 3D model data, for each one of the plurality of teeth, a respective one of a plurality of individual intersection loops; segmenting, based on a predetermined rule, each one of the plurality of individual intersection loops into at least a buccal portion and a lingual portion; sequentially joining respective buccal portions and respective lingual portions associated with each one of the plurality of individual intersection loops, thereby generating a single arch form loop; smoothing the single arch form loop, thereby generating a smoothed single arch form loop; and applying the smoothed single arch form loop to an unfinished aligner to indicate the cut line on the unfinished aligner for producing the aligner.