Abstract: A method of reconstructing a gingival profile comprising generating, by a processor, a defined cross section of an arch form model extending through a tooth axis of a given tooth and a defined gingiva region; identifying within a tooth cross section profile of the defined cross section a set of reference points for generating a parametric curve defining at least a portion of the tooth cross section profile; generating the parametric curve based on the set of reference points; generating a first undefined cross section of the arch form model extending through the tooth axis of the given tooth and an defined gingiva region; constructing in the first undefined cross section, at least a portion of the parametric curve, thereby generating a first reconstructed gingival profile, and updating the arch form model with the first reconstructed gingival profile; and storing the arch form model including the reconstructed gingival profile.

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 and a system for determining an orthodontic treatment plan including a tooth stripping step are provided. The method comprises: acquiring a 3D digital model of a first tooth and a second tooth of the subject, the second tooth being adjacent the first tooth; receiving a stripping request for stripping tooth material, from at least one of the first tooth along a first stripping plane and the second tooth along a second stripping plane; determining, along a surface of the first tooth, a first area of interest; determining, along the surface of the second tooth, a second area of interest; determining a distance between a first set of vertices associated with the first area of interest and a second set of vertices associated with the second area of interest; in response to the distance being greater than a predetermined distance threshold, denying, by the processor, the stripping request.

Abstract: A method and a system for determining an orthodontic treatment plan including a tooth stripping step are provided. The method comprises: acquiring a 3D digital model of a first tooth and a second tooth of the subject, the second tooth being adjacent the first tooth; receiving a stripping request for stripping tooth material, from at least one of the first tooth along a first stripping plane and the second tooth along a second stripping plane; determining, along a surface of the first tooth, a first area of interest; determining, along the surface of the second tooth, a second area of interest; determining a distance between a first set of vertices associated with the first area of interest and a second set of vertices associated with the second area of interest; in response to the distance being greater than a predetermined distance threshold, denying, by the processor, the stripping request.

Abstract: A method and a system for determining an orthodontic treatment plan are provided. The method comprises: acquiring a 3D point cloud representative of surfaces of a given pair of adjacent teeth of a subject; obtaining an indication of a current orthodontic treatment plan for a subject including data of respective tooth trajectories the given pair of adjacent teeth; determining an occurrence of a collision between the given pair of adjacent teeth, the determining including determining if, along the given segment, a first tooth of the given pair of adjacent teeth moves at least one of translationally and rotationally relative to a second tooth of the given pair of adjacent teeth; determining a respective overlap region between the given pair of adjacent teeth caused by the collision; and causing display of respective overlap regions between the adjacent teeth over an indication of the implementation of the current orthodontic treatment plan.

Abstract: A method and a system for planning an orthodontic treatment are provided. The method comprises: acquiring an arch form 3D digital model including a representation of the given tooth in a current position thereof within a subject's gingiva; determining an initial crown reference point and an initial root reference point; obtaining a target position of the given tooth within the arch form 3D digital model; determining a number of steps for the given tooth to displace from the current position to the target position thereof in the course of the orthodontic treatment; and storing data indicative of the number of steps associated with the given tooth for use in the planning the orthodontic treatment.

Abstract: Methods and systems for manufacturing an orthodontic appliance with an object incorporated in a surface thereof comprising: acquiring a preliminary appliance 3D digital model; acquiring an object 3D digital model; obtaining a desired coupling location of the object on the orthodontic appliance; positioning the object 3D digital model onto a surface of the preliminary appliance 3D digital model based on the obtained coupling location; causing an initial predetermined degree of penetration; merging the object 3D digital model with the preliminary appliance 3D digital model to generate an appliance 3D digital model of the orthodontic appliance with the object incorporated in the surface; and storing the appliance 3D digital model in an internal memory of the electronic device.

Abstract: A method and a system for determining a bite position between arch forms of a subject. The method comprises: receiving a 3D model including a first portion and a second portion respectively representative of lower and upper arch forms of the subject; determining, a respective distance value from each point of the first portion to the second portion; determining, for each point of the first portion, a respective weight value, thereby determining a respective weighted distance value; aggregating respective weighted distance values associated with each point of the first portion to determine an aggregate distance value being a remoteness measure between the first portion and the second portion; and determining the bite position based on the aggregate distance value.

Abstract: Methods, systems, and apparatuses are described for generating a digital model of a tooth structure for a gap between neighboring teeth of an arch form of a patient. Position of a tooth structure between neighboring teeth may be determined. Arch lines extending through the plurality of teeth may be determined. Intermediate points in the interdental gap may be determined. Longitudinal axis of the tooth structure relative to the neighbouring teeth may be derived. A digital model of the tooth structure may be aligned on the longitudinal axis and a digital model of the tooth structure may be obtained.

Abstract: A distributed computer system for manufacturing an orthodontic appliance for a subject is provided. The system comprises: a server communicatively couplable to electronic devices associated with sets of users, the sets of users comprising: a first set of users for providing preliminary orthodontic treatment plans for subjects, a second set of users for providing input to the preliminary orthodontic treatment plans, and a third set of users for manufacturing orthodontic appliances to implement at least a portion of finalized orthodontic treatment plans, the finalized orthodontic treatment plans being based on a given preliminary orthodontic treatment plan and a given input from a user of the second set of users to the given preliminary orthodontic treatment plan.

Abstract: The disclosed systems and methods are for performing digital separation of teeth. The method includes: (i) obtaining a 3D digital model of two adjacent teeth, wherein the 3D digital model includes a first set of elements comprising first tooth elements and second tooth elements, (ii) generating a separation plane relative to the two adjacent teeth by: obtaining a second set of elements associated with a separation zone, identifying a third set of elements which are a subset of the second set of elements, and determining the separation plane, (iv) performing the digital separation by generating a first cutting plane and a second cutting plane, and (v) updating the 3D digital model by removing the first tooth elements and the second tooth elements which are between the first and second cutting planes, and (vi) storing the updated 3D digital model in a memory.

Abstract: A methods and processors for generating a 3D-representation of a tooth-specific dental appliance are disclosed. The appliance has a grooved body and a pair of holding arms. The method includes acquiring a 3D-platform representation, acquiring a 3D-grooved body representation, and positioning the 3D-grooved body representation relative to the 3D-platform representation. The method also includes acquiring a first and second 3D-arm representations, each having a respective pair of platform anchor points and a respective adjustment anchor point. The method also includes individually positioning the first and second 3D-arm representations relative to the 3D-platform representation using the respective pairs of platform anchor points, thereby defining preliminary positions of the first and second 3D-arm representations.

Abstract: Methods and systems for determining orthodontic treatment based on 3D digital model of subject's teeth. The method includes determining, for a given trajectory segment of the orthodontic treatment of a given tooth in which the given tooth is moved from a start position to an end position, whether the force required to move the given tooth from the start position to the end position causes an induced stress associated with at least one other of the plurality of subject's teeth. In response to the induced stress being outside of a predetermined threshold level, determining a counter force to be applied to the at least one other of the plurality of subject's teeth. The orthodontic treatment can be thus determined as including the force to be applied to the given tooth and the determined counter force to be applied to the at least one other of the plurality if subject's teeth.

Abstract: A method for modeling mandibular motion, executable by an electronic device and including: acquiring a point cloud representing a mandible; determining an initial condyle pose; determining natural movement parameters for the condyles including maximum protrusion displacement, a Bennett angle, and a Sagittal inclination path angle; receiving an indication of a translation and/or a rotation of the mandible; determining a first natural movement of translation including a protrusion followed by a first sagittal inclination; determining a second natural movement of rotation including a Bennet movement followed by a second sagittal inclination; applying the natural movement s to the point cloud to form a transformed point cloud; creating a model of the mandible having undergone the at least one of the translation and the rotation using the transformed point cloud; and displaying the model of the mandible having undergone the translation and/or rotation.

Abstract: A method and a system for generating an augmented 3D digital model of an intraoral anatomical structure a subject. The method comprises: obtaining a 3D digital model of the intraoral anatomical structure including a plurality of mesh elements representative of a surface of the intraoral anatomical structure; generating, based on the 3D digital model, a 2D grid comprising an unfolded surface of the 3D digital model; the 2D grid including a plurality of 2D cells; assigning, to each one of the plurality of 2D cells, a respective value of at least one textural parameter, thereby generating a texture reference map; and based on the texture reference map, causing application of the at least one textural parameter to the 3D digital model to generate the augmented 3D digital model of the intraoral anatomical structure.

Abstract: A method and a system for determining occlusal contacts between lower teeth and upper teeth of a subject are provided. The method comprises: receiving a 3D model including a first portion and a second portion including points respectively representative of the lower teeth and the upper teeth; determining an occlusal plane associated with the second portion of the 3D model; determining, from each point of the first portion, respective distance values to the occlusal plane; and identifying, within the points of the first portion, based on the respective distance values, using a voxel grid, a set of occlusal points representative of at least some of the occlusal contacts between the lower teeth and the upper teeth.

Abstract: A method and a system for determining an orthodontic treatment for a plurality of teeth of a subject are provided. The method comprises: receiving a 3D representation of a first tooth and a second tooth, adjacent thereto, of the subject, of a plurality of teeth of the subject; obtaining a tooth-gingiva segmentation loop; identifying an outer set of vertices positioned outside the tooth-gingiva segmentation loop and an inner set of vertices positioned inside the tooth-gingiva segmentation loop; determining a shortest path from the outer set of vertices to the inner set of vertices; generating, based on the shortest path, a first interdental loop indicative of an interdental boundary between the first tooth and the second tooth, the first interdental loop intersecting the tooth-gingiva segmentation loop; generating a boundary between the first tooth and the second tooth, the boundary including the tooth-gingiva segmentation loop and the first interdental loop.

Abstract: A method and a system for determining an orthodontic treatment for a subject are provided. The method comprises: acquiring a 3D representation of the crown portion of the given tooth, generating a 3D representation of the root portion of the given tooth by executing the steps of: generating, in a reference plane dissecting the predetermined longitudinal tooth axis and based on the 3D representation of the crown portion, a closed curve on the 3D representation of the crown portion, segmenting the closed curve into a plurality of sub-curves; for each one of the plurality of sub-curves, generating a respective segment of the 3D representation of the root portion; merging the 3D representation of the crown portion with the 3D representation of the root portion, thereby generating the 3D representation of the given tooth; and determining, based on the 3D representation of the given tooth, the orthodontic treatment for the subject.

Abstract: A method and a system for determining a tooth trajectory for a given tooth of a subject are provided. The method comprises: generating, by executing an optimization algorithm, based on a 3D model of the given tooth, a plurality of segments defining a tooth trajectory of the given tooth from its initial position to its target position. The executing comprises: in response to determining that there is an occurrence of a collision, iteratively optimizing, based on the stress values range, an initially applied force, until a maximum displacement of the 3D model of the given tooth is caused, in the predetermined interval, from a start position associated with the given segment towards the target position associated with the given tooth provided that an extent of the collision between the 3D model of the given tooth and the 3D model of the at least one adjacent tooth is minimized.

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.