Abstract: Systems and methods of defining a trimline in relation to modeled teeth including modeled gingiva. The trimline is for use to manufacture an aligner. A margin point is placed proximate a gingival margin at each tooth on at least one jaw in the model. A trimline connects the plurality of margin points from which machine code is generated. The aligner manufactured includes an edge that correlates with the trimline according to the machine code. A margin point may be proximate a gingival zenith. At least one tooth cooperates with the modeled gingiva to define a line around the tooth. The trimline includes at least one tooth curve and at least one connector curve connected to the tooth curve at a transition point. At least one control point is on the trimline between two margin points. The trimline is defined by a spline that may be a Bèzier curve.

Abstract: A computer-implemented method for marking an object on an aligner. The aligner surface is modeled. The method includes calculating a normal for each tile in a tessellated surface and disqualifying a tile from being selected. For tiles not disqualified, a patch is identified that produces a markable area. The method includes selecting an object to be marked, calculating a location of the object in the markable area, and providing the location of the object to a marking device. Disqualifying includes comparing an angle between a normal and an orientation of the beam to an origin of the calculated normal on each tile. Disqualifying includes disqualifying the at least one tile when the angle is outside of a range of ?90° to +90°. Identifying the patch includes separating the patch into at least two smaller patches, and one of the two smaller patches of tiles is the markable area.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including a three-dimensional model of one or more intraoral surfaces of the patient. The trimline is for use to manufacture an aligner. For one or more pairs of adjacent teeth, a scallop plane is defined based on a scallop factor. The scallop plane is used to determine the position of scallop points on a line around each tooth adjacent to an interproximal region of the pair of teeth. Transition points are then defined on the line around each tooth apically of the scallop points, and the points connected to form an initial connector curve. The initial connector curve is projected on to a mesh of the three-dimensional model, and smoothing applied to the resulting segmented connector curve. The smoothed connector curves are then joined by teeth curves to form the trimline.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including modeled gingiva. The trimline is for use to manufacture an aligner. A margin point is placed proximate a gingival margin at each tooth on at least one jaw in the model. A trimline connects the plurality of margin points from which machine code is generated. The aligner manufactured includes an edge that correlates with the trimline according to the machine code. A margin point may be proximate a gingival zenith. At least one tooth cooperates with the modeled gingiva to define a line around the tooth. The trimline includes at least one tooth curve and at least one connector curve connected to the tooth curve at a transition point. At least one control point is on the trimline between two margin points. The trimline is defined by a spline that may be a Bèzier curve.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including a three-dimensional model of one or more intraoral surfaces of the patient. The trimline is for use to manufacture an aligner. For one or more pairs of adjacent teeth, a scallop plane is defined based on a scallop factor. The scallop plane is used to determine the position of scallop points on a line around each tooth adjacent to an interproximal region of the pair of teeth. Transition points are then defined on the line around each tooth apically of the scallop points, and the points connected to form an initial connector curve. The initial connector curve is projected on to a mesh of the three-dimensional model, and smoothing applied to the resulting segmented connector curve. The smoothed connector curves are then joined by teeth curves to form the trimline.

Abstract: An aligner including a feature positioned on or in at least one of the buccal sidewall or lingual sidewall of the aligner that is configured to attach to an elastic member. The aligner applies a greater corrective force to a patient's dentition when the elastic member is attached. The feature may include a protrusion in the sidewall with an opening to a space configured to receive and attach to an elastic member hook coupled to the elastic member. The feature may include a through-bore in the sidewall that is configured to receive and attach to the elastic member. The feature may include an add-on hook on the sidewall that is configured to receive and attach to the elastic member. The add-on hook may be positioned on a protrusion in the sidewall. The protrusion may receive and engage with a dental attachment positioned on a surface of a patient's tooth.

Abstract: A computer-implemented method for marking an object on an aligner. The aligner surface is modeled. The method includes calculating a normal for each tile in a tessellated surface and disqualifying a tile from being selected. For tiles not disqualified, a patch is identified that produces a markable area. The method includes selecting an object to be marked, calculating a location of the object in the markable area, and providing the location of the object to a marking device. Disqualifying includes comparing an angle between a normal and an orientation of the beam to an origin of the calculated normal on each tile. Disqualifying includes disqualifying the at least one tile when the angle is outside of a range of ?90° to +90°. Identifying the patch includes separating the patch into at least two smaller patches, and one of the two smaller patches of tiles is the markable area.

Abstract: A computer-implemented method for marking an object on an aligner. The aligner surface is modeled. The method includes calculating a normal for each tile in a tessellated surface and disqualifying a tile from being selected. For tiles not disqualified, a patch is identified that produces a markable area. The method includes selecting an object to be marked, calculating a location of the object in the markable area, and providing the location of the object to a marking device. Disqualifying includes comparing an angle between a normal and an orientation of the beam to an origin of the calculated normal on each tile. Disqualifying includes disqualifying the at least one tile when the angle is outside of a range of ?90° to +90°. Identifying the patch includes separating the patch into at least two smaller patches, and one of the two smaller patches of tiles is the markable area.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including modeled gingiva. The trimline is for use to manufacture an aligner. A margin point is placed proximate a gingival margin at each tooth on at least one jaw in the model. A trimline connects the plurality of margin points from which machine code is generated. The aligner manufactured includes an edge that correlates with the trimline according to the machine code. A margin point may be proximate a gingival zenith. At least one tooth cooperates with the modeled gingiva to define a line around the tooth. The trimline includes at least one tooth curve and at least one connector curve connected to the tooth curve at a transition point. At least one control point is on the trimline between two margin points. The trimline is defined by a spline that may be a Bèzier curve.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including a three-dimensional model of one or more intraoral surfaces of the patient. The trimline is for use to manufacture an aligner. For one or more pairs of adjacent teeth, a scallop plane is defined based on a scallop factor. The scallop plane is used to determine the position of scallop points on a line around each tooth adjacent to an interproximal region of the pair of teeth. Transition points are then defined on the line around each tooth apically of the scallop points, and the points connected to form an initial connector curve. The initial connector curve is projected on to a mesh of the three-dimensional model, and smoothing applied to the resulting segmented connector curve. The smoothed connector curves are then joined by teeth curves to form the trimline.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including modeled gingiva. The trimline is for use to manufacture an aligner. A margin point is placed proximate a gingival margin at each tooth on at least one jaw in the model. A trimline connects the plurality of margin points from which machine code is generated. The aligner manufactured includes an edge that correlates with the trimline according to the machine code. A margin point may be proximate a gingival zenith. At least one tooth cooperates with the modeled gingiva to define a line around the tooth. The trimline includes at least one tooth curve and at least one connector curve connected to the tooth curve at a transition point. At least one control point is on the trimline between two margin points. The trimline is defined by a spline that may be a Bèzier curve.

Abstract: A computer-implemented method for marking an object on an aligner. The aligner surface is modeled. The method includes calculating a normal for each tile in a tessellated surface and disqualifying a tile from being selected. For tiles not disqualified, a patch is identified that produces a markable area. The method includes selecting an object to be marked, calculating a location of the object in the markable area, and providing the location of the object to a marking device. Disqualifying includes comparing an angle between a normal and an orientation of the beam to an origin of the calculated normal on each tile. Disqualifying includes disqualifying the at least one tile when the angle is outside of a range of ?90° to +90°. Identifying the patch includes separating the patch into at least two smaller patches, and one of the two smaller patches of tiles is the markable area.

Abstract: Systems and methods of defining a trimline in relation to modeled teeth including modeled gingiva. The trimline is for use to manufacture an aligner. A margin point is placed proximate a gingival margin at each tooth on at least one jaw in the model. A trimline connects the plurality of margin points from which machine code is generated. The aligner manufactured includes an edge that correlates with the trimline according to the machine code. A margin point may be proximate a gingival zenith. At least one tooth cooperates with the modeled gingiva to define a line around the tooth. The trimline includes at least one tooth curve and at least one connector curve connected to the tooth curve at a transition point. At least one control point is on the trimline between two margin points. The trimline is defined by a spline that may be a Bèzier curve.