Abstract: A method for generating an aligner configured to be coupled to a tooth, the aligner having a body defining a channel arranged for receiving the tooth and a fixing block arranged for coupling the aligner and the tooth, the method comprising acquiring a tooth model, defining a zone on the tooth model, determining, based on the zone, a tooth-coupling surface for coupling the tooth with the aligner, obtaining a body model having an inner surface corresponding to the channel of the desired aligner, generating, based on the determined tooth-coupling surface, a fixing block-coupling surface indicative of an outer surface of the fixing block by extruding the tooth-coupling surface by an interference length to inward of the tooth model so as to generate a block model having the fixing block-coupling surface, generating the aligner model by joining the block model with the body model.

Abstract: A method of determining an orthodontic treatment comprising: obtaining a 3D model of a simulated position of upper and lower teeth following a simulated orthodontic treatment, the 3D model comprising a point cloud representation comprising a plurality of vector points; in a 3D grid having cells onto which the plurality of the vector points have been mapped, identifying cells containing vectors points representative of the upper teeth and applying a first mask to these cells; identifying cells containing vectors points representative of the lower teeth and applying a second mask to these cells; determining the simulated orthodontic treatment as the determined orthodontic treatment if the 3D grid does not include at least one cell which includes both the first mask and the second mask.

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 associated with the subject; segmenting, in the 3D representation of the arch form, associated representations of the plurality of teeth and the gingiva to generate a plurality of segmentation loops; generating, based on the plurality of segmentation loops, a primary central curve; generating, based on the primary central curve, a first inner mesh curve and a first outer mesh curve, the first inner 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 for determining the orthodontic treatment.

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 an arch form of the subject comprising a 3D mesh having a plurality of vertices further comprising: constrained vertices associated with a defined portion; unconstrained vertices initially associated with an undefined portion; generating a set of confirmed constrained vertices, including the constrained vertices, 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, and based on an angular difference between associated normal vectors, identifying the at least one associated unconstrained vertex either to be a constrained vertex or an unconstrained vertex; causing display of the augmented 3D representation of the given tooth based on the set of confirmed constrained vertices.

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 an arch form of the subject comprising a 3D mesh having a plurality of vertices further comprising: constrained vertices associated with a defined portion; unconstrained vertices initially associated with an undefined portion; generating a set of confirmed constrained vertices, including the constrained vertices, 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, and based on an angular difference between associated normal vectors, identifying the at least one associated unconstrained vertex either to be a constrained vertex or an unconstrained vertex; causing display of the augmented 3D representation of the given tooth based on the set of confirmed constrained vertices.

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 associated with the subject; segmenting, in the 3D representation of the arch form, associated representations of the plurality of teeth and the gingiva to generate a plurality of segmentation loops; generating, based on the plurality of segmentation loops, a primary central curve; generating, based on the primary central curve, a first inner mesh curve and a first outer mesh curve, the first inner 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 for determining the orthodontic treatment.

Abstract: Methods and systems for determining an orthodontic treatment for a patient are provided. The method comprises: receiving image data associated with a patient's skull; identifying, based on the image data, a first pair of reference pints; identifying, based on the image data, a second pair of reference points; generating based on the first and second pairs of reference points a first reference line and the second reference line, respectively; determining, based on an intersection of the first reference line and the second reference line, a rotation center of a patient's mandible; and based on the rotations center, determining the orthodontic treatment for the patient.

Abstract: Methods, systems, and apparatuses are described for determining a boundary between teeth and gingiva of an archform and/or between teeth and other teeth. Curves may be defined on the surface of teeth and gingiva in the archform. A predicted likelihood parameter that each of the points corresponds to the boundary between the teeth and gingiva may be determined. A smoothing function and the predicted likelihood parameter may be used to determine a boundary point for each curve. The boundary points may be connected to form the boundary between the teeth and 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: 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 at least one tooth may be received. The 3D model may comprise a 3D mesh describing a surface of the gingiva and the at least one tooth. The 3D mesh may be separated into a gingiva mesh and a tooth mesh. A set of shared vertices in the gingiva mesh and the tooth mesh may be identified. A tooth-movement displacement may be applied to the vertices in the tooth mesh and the vertices in the set of shared vertices. A vertex-specific displacement may be determined for the remaining vertices in the gingiva mesh by solving a harmonic equation. The 3D model may be updated.

Abstract: A method and processor for generating a 3D-platform representation of a tooth-specific platform for attachment of a dental appliance to a tooth of a patient are disclosed. The method includes acquiring a 3D-tooth representation of the tooth, and defining an attachment zone on the surface of the 3D-tooth representation. The attachment zone has a zone perimeter enclosing a surface portion of the 3D-tooth representation corresponding to a surface portion of the tooth to which the tooth-specific platform is to be attached. The method also includes generating the 3D-platform representation having (i) a tooth-oriented surface matching the surface portion of the 3D-tooth representation and having a perimeter matching the zone perimeter, (ii) a perimeter wall extending between the tooth-oriented surface and the tooth-opposite surface and away from the surface portion, and (iii) a tooth-opposite surface matching an expanded surface portion of the 3D-tooth representation.

Abstract: A method for determining a manufacturing parameter for making an aligner with a desired aligner thickness using a thermoforming device operable for making the aligner by shaping a precursor aligner into the aligner using a mold representative of a dental archform, the method implemented by a computer system connectable to the thermoforming device, the method comprising: obtaining a 3D map associated with the dental archform; parsing the 3D map to determine a first property value and a second property value, the first property value being based on the 3D map and the second property value being derived from a 2D projection of the 3D map, and determining a thickness of the precursor aligner for obtaining the desired aligner thickness based on a ratio of the first property value and the second property value and a given value of an operating parameter of the thermoforming device.

Abstract: Methods, systems, and apparatuses are described for determining a boundary between teeth and gingiva of an archform and/or between teeth and other teeth. Curves may be defined on the surface of teeth and gingiva in the archform. An indication of curvature at various points on the curves may be determined. A predicted likelihood parameter that each of the points corresponds to the boundary between the teeth and gingiva may be determined based on the indication of curvature. A smoothing function and the predicted likelihood parameter may be used to determine a boundary point for each curve. The boundary points may be connected to form the boundary between the teeth and gingiva.

Abstract: Methods of determining an orthodontic treatment comprising: obtaining 3D model of simulated position of teeth following proposed orthodontic treatment; the 3D model comprising a point cloud representation having vector points representative of teeth surface; generating an axis aligned boundary box around each tooth; identifying a pair of tooth-tooth bounding boxes of adjacent teeth that intersect; defining an area of overlap of the pair of tooth-tooth bounding boxes; mapping the area of overlap onto the plurality of vector points, the plurality of vector points populating a 3D grid, having cells, of a simulation space; identifying a subset of the cells including the mapped overlap area, and for only the subset of the cells determining a distance between the vector points relating to adjacent teeth; and determining the proposed orthodontic treatment as the determined orthodontic treatment if the determined distance is more than a predetermined distance.

Abstract: A method of determining an orthodontic treatment comprising: obtaining a 3D model of a simulated position of upper and lower teeth following a simulated orthodontic treatment, the 3D model comprising a point cloud representation comprising a plurality of vector points; in a 3D grid having cells onto which the plurality of the vector points have been mapped, identifying cells containing vectors points representative of the upper teeth and applying a first mask to these cells; identifying cells containing vectors points representative of the lower teeth and applying a second mask to these cells; determining the simulated orthodontic treatment as the determined orthodontic treatment if the 3D grid does not include at least one cell which includes both the first mask and the second mask.

Abstract: A method for generating an aligner configured to be coupled to a tooth, the aligner having a body defining a channel arranged for receiving the tooth and a fixing block arranged for coupling the aligner and the tooth, the method comprising acquiring a tooth model, defining a zone on the tooth model, determining, based on the zone, a tooth-coupling surface for coupling the tooth with the aligner, generating, based on the tooth model, a body model by generating an inner surface of the body model based on the tooth model, generating, based on the determined tooth-coupling surface, a fixing block-coupling surface indicative of an outer surface of the fixing block by extruding the tooth-coupling surface by an interference length to inward of the tooth model so as to generate a block model having the fixing block-coupling surface, generating the aligner model by joining the block model with the body model.