Orthodontic system, design method, production method and prediction method

Abstract

The present application provides a tooth correction system, a design method, a preparation method and a prediction method, comprising a shell-shaped tooth corrector, wherein the tooth corrector further comprises an eruption part arranged between one or more teeth which have not grown to a predetermined parameter gap, and each shell-shaped tooth corrector has a constant or substantially constant column structure during the correction plan. The shell-shaped tooth corrector has the effect of correcting tooth deformity, and the eruption part is used for receiving teeth which have not grown to a predetermined parameter, and the gap between the eruption part and the erupting tooth is arranged so that the tooth corrector body leaves a space for tooth growth above the erupting tooth after being worn, so that each shell-shaped tooth corrector does not interfere with the natural growth of the tooth when being worn. In addition, the design and use of the eruption part with a constant or substantially constant column structure are simple, and the eruption part can be used as a standard accessory, which can be inserted on a dental model by selecting the standard accessory.

Description

Technical Field

[0001] This invention belongs to the field of medical devices, specifically relating to the field of invisible orthodontics, and more specifically to a dental orthodontic system, design method, preparation method, and eruption prediction method, which is applied to dental orthodontic treatment during the mixed dentition period of adolescents. Background Technology

[0002] Invisible aligners are widely recognized by consumers for their aesthetic appeal, comfortable wear, and excellent orthodontic results. However, adolescents present a special case, as they go through a phase of deciduous tooth loss and permanent tooth eruption. This differs from adult orthodontic treatment for permanent teeth. When using invisible aligners to treat teeth according to the actual oral structure, it's possible that the portion of the aligner corresponding to an unerupted tooth may be covered. As the tooth erupts, the area where the aligner was applied may not have enough space for the adjacent gum line to erupt properly, thus affecting the normal eruption of the tooth. Alternatively, the invisible aligners may become unwearable after the teeth have erupted.

[0003] Some existing technologies employ eruption space and tooth eruption follow-up design methods. However, these methods have certain problems. For example, there are many factors involved in the eruption process of a patient's teeth. If the eruption space design is unreasonable during the orthodontic treatment plan design, there may be contact between the eruption space and the teeth, generating force and affecting the normal eruption effect. In addition, if the prediction of tooth eruption speed and eruption parameters is not accurate during the follow-up design process, there may be eruption design errors, resulting in the patient being unable to wear the orthodontic appliance properly.

[0004] The aforementioned effects are all undesirable during orthodontic treatment. Therefore, it is of great significance to design an orthodontic system and its design method that allows for simple eruption space design as the orthodontic plan progresses and does not affect the normal growth and eruption of teeth. Summary of the Invention

[0005] The main objective of this invention is to provide a dental orthodontic system and its design and preparation methods, which are applied to dental orthodontic treatment during the mixed dentition period of adolescents, so that the shell-shaped dental appliance can simultaneously promote tooth eruption while correcting dental malocclusion.

[0006] Another aspect of the present invention provides a method for predicting the eruption cavity of a shell-shaped orthodontic appliance, wherein the inner surface of the predicted eruption cavity is spaced apart from the outer surface of one or more teeth that have not grown to the predetermined eruption parameters, so that the shell-shaped orthodontic appliance can simultaneously cause tooth eruption during the correction of dental malocclusion.

[0007] The technical solution of the present invention is as follows:

[0008] A dental orthodontic system includes at least one shell-shaped orthodontic appliance that gradually adjusts teeth from an initial position to a target orthodontic position according to a treatment plan while allowing the teeth to erupt naturally. The shell-shaped orthodontic appliance includes an appliance body with geometric structures for accommodating multiple maxillary or mandibular teeth. The appliance body also has at least one eruption portion for accommodating one or more teeth that have not yet reached predetermined eruption parameters. As the treatment plan progresses, each eruption portion on the shell-shaped orthodontic appliance has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion is spaced from the outer surface of the tooth that has not yet reached the predetermined eruption parameters. The predetermined eruption parameters include tooth parameters after one or more ungrown or incompletely grown teeth have fully erupted.

[0009] In some embodiments, the eruption predetermined parameters include the size, position, shape, and orientation of the teeth after the one or more ungrown or incompletely grown teeth have fully erupted.

[0010] In some embodiments, the constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

[0011] Specifically, as the orthodontic treatment plan progresses, adjacent teeth of one or more teeth that have not yet reached the predetermined eruption parameters are moved for orthodontic treatment. This results in a smooth transition and appropriate adjustment of the cylindrical structure of the erupting portion, ensuring a smooth connection between the erupting portion and the remaining shell-like body. In some embodiments, the size of the cylindrical structure is 1.02-1.05 times the size of the tooth after the one or more teeth that have not yet reached the predetermined eruption parameters have fully erupted. The cylindrical structure with this size is slightly larger than the size of the fully erupted tooth, allowing for a gap between the erupting portion and the one or more teeth that have not yet reached the predetermined eruption parameters. The orientation of the columnar structure is at an angle of 0-5° to the long axis of the one or more teeth that have not yet reached the predetermined eruption parameters; the position of the columnar structure is 0-1 mm off from the position of the teeth after they have fully erupted in the three-dimensional coordinate system; the shape of the columnar structure is 0-1 mm off from the shape of the teeth after they have fully erupted in the three-dimensional coordinate system. Within the above-described range of size, position, shape, and orientation, the columnar structure described in this embodiment is a constant or substantially constant structure.

[0012] In some embodiments, the constant or substantially constant column structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to erupt according to predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

[0013] In some embodiments, the constant or substantially constant columnar structure is set based on a first predetermined parameter of the mesial adjacent teeth and a second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0014] In some specific embodiments, the first predetermined parameter includes the maximum dimensions of the adjacent teeth in the mesial direction in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the height in the long axis direction; the second predetermined parameter includes the maximum dimensions of the adjacent teeth in the distal direction in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the height in the long axis direction.

[0015] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface, wherein the labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions, the lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions, and the occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

[0016] In some embodiments, the constant or substantially constant column structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to erupt according to predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

[0017] In some embodiments, the constant or substantially constant columnar structure is set based on the distal adjacent teeth and a third predetermined parameter of the one or more teeth that have not grown to the eruption predetermined parameter.

[0018] In some specific embodiments, the third predetermined parameter includes: the maximum buccal-lingual diameter of the adjacent tooth in the distal direction, the maximum size in the mesiodistal direction, and the maximum height of the tooth in the mesiodistal direction along its long axis.

[0019] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial or distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial or distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial or distal adjacent teeth.

[0020] In some embodiments, the constant or substantially constant column structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to erupt according to predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

[0021] In some embodiments, the constant or substantially constant column structure is a cylindrical structure, an elliptical column, or a polygonal column structure with no less than four lateral edges.

[0022] In some embodiments, the geometry of the shell-shaped orthodontic appliance, excluding the erupting portion, allows the teeth, excluding unerupted teeth, to be gradually adjusted from their initial position to the target orthodontic position.

[0023] The present invention also provides a design method for a dental orthodontic system, the design method comprising the following steps:

[0024] S1. Acquisition of a digital dental model: Acquiring a digital dental model, which includes a digital tooth model and a digital gingival model;

[0025] S2. Segmentation and identification of digital dental model: The digital dental model is segmented into independent digital gingival models and single digital crown models; data representing unerupted or incompletely erupted teeth are identified and marked;

[0026] S3. Virtual design of treatment plan: The single digital crown model is virtually designed so that the single digital crown model gradually changes from the initial position to the target treatment position, resulting in a series of intermediate digital dentition models;

[0027] S4. Design of the orthodontic system:

[0028] According to the orthodontic plan, at least one shell-shaped orthodontic appliance is designed to gradually adjust the teeth from their initial position to the target orthodontic position and to simultaneously allow the teeth to erupt. The shell-shaped orthodontic appliance includes an appliance body, which includes a geometric structure for accommodating multiple maxillary or mandibular teeth. The appliance body is also provided with at least one eruption portion for accommodating one or more teeth that have not grown to the predetermined eruption parameters.

[0029] As the orthodontic treatment plan progresses, the eruption portion of each shell-shaped orthodontic appliance has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion is spaced apart from the outer surface of the tooth that has not grown to the predetermined eruption parameters; the predetermined eruption parameters are designed to include the parameters of the tooth after the one or more ungrown or incompletely grown teeth have fully erupted.

[0030] In some embodiments of the above design method, the parameters of the teeth after the one or more ungrown teeth have fully erupted are designed to include the size, position, shape, and orientation of the teeth after the one or more ungrown teeth have fully erupted.

[0031] In some embodiments of the above design method, the constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

[0032] In some embodiments of the above design method, the size of the column structure is 1.02-1.05 times the size of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted; the orientation of the column structure is at an angle of 0-5° to the long axis orientation of the one or more teeth after the teeth that have not grown to the predetermined eruption parameters; the position of the column structure is offset by 0-1mm from the position of the one or more teeth after the teeth that have not grown to the predetermined eruption parameters in the three-dimensional coordinate system; the shape of the column structure is offset by 0-1mm from the shape of the one or more teeth after the teeth that have not grown to the predetermined eruption parameters in the three-dimensional coordinate system.

[0033] In some embodiments of the above design method, the constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption of predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

[0034] In the above design method, the constant or substantially constant column structure is set based on the first predetermined parameter of the mesial adjacent teeth and the second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0035] In the above design method, the first predetermined parameters include the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the mesial direction; the second predetermined parameters include the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the distal direction.

[0036] In the above design method, the constant or substantially constant columnar structure is designed to include a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

[0037] In the above design method, the constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption of predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the occlusal relationship between the upper and lower jaws.

[0038] In one embodiment of the above design method, the constant or substantially constant column structure is set based on a third predetermined parameter of the distal adjacent teeth and the mesial adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0039] In one embodiment of the above design method, the third predetermined parameter includes: the maximum buccal-lingual diameter of the adjacent teeth in the distal direction, the maximum size in the mesiodistal direction, and the maximum height of the long axis of the adjacent teeth in the mesiodistal direction.

[0040] In one embodiment of the above design method, the constant or substantially constant columnar structure is designed to include a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial or distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial or distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial or distal adjacent teeth.

[0041] In one embodiment of the above design method, the constant or substantially constant column structure is further set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption of predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

[0042] In one embodiment of the above design method, the constant or substantially constant column structure is designed as a cylindrical structure, an elliptical column structure, or a polygonal column structure with no less than four lateral edges.

[0043] In one embodiment of the above design method, the geometry of the shell-shaped orthodontic appliance, excluding the erupting portion, is designed to gradually adjust the teeth, excluding the unerupted teeth, from their initial position to the target orthodontic position.

[0044] The present invention also provides a method for preparing a dental orthodontic system, wherein the shell-shaped dental appliance in the dental orthodontic appliance system obtained according to any of the above design methods is manufactured by hot pressing or additive manufacturing process to obtain the series of shell-shaped dental appliances.

[0045] The present invention also provides a method for predicting the eruption cavity of a shell-shaped orthodontic appliance, comprising: designing at least one shell-shaped orthodontic appliance according to a treatment plan to gradually adjust teeth from an initial position to a target treatment position and simultaneously allow tooth eruption; wherein one of the shell-shaped orthodontic appliances includes an appliance body with a geometric structure for accommodating multiple maxillary or mandibular teeth and at least one eruption cavity for accommodating one or more teeth that have not grown to the predetermined eruption parameters; the eruption cavity is predicted simultaneously based on a first predetermined parameter of the mesial adjacent teeth and a second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameters, such that the inner surface of the eruption cavity is spaced apart from the outer surface of the one or more teeth that have not grown to the predetermined eruption parameters; the predetermined eruption parameters are designed to include tooth parameters after the one or more ungrown or incompletely grown teeth have fully erupted.

[0046] In the above prediction method, the first predetermined parameters include the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the mesial direction; the second predetermined parameters include the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the distal direction.

[0047] In the above prediction method, the eruption cavity is also set based on the size, position, shape and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to the predetermined eruption parameters, so that the structure of the eruption cavity does not affect the setting of the maxillary and mandibular occlusal relationship.

[0048] The present invention also provides a method for predicting the eruption cavity of a shell-shaped orthodontic appliance, comprising: designing at least one shell-shaped orthodontic appliance according to a treatment plan to gradually adjust teeth from an initial position to a target treatment position and simultaneously allow tooth eruption; wherein one of the shell-shaped orthodontic appliances includes an appliance body with a geometric structure for accommodating multiple maxillary or mandibular teeth and at least one eruption cavity for accommodating one or more teeth that have not grown to the predetermined eruption parameters; the eruption cavity is predicted based on a third predetermined parameter of the distal adjacent teeth and mesial adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameters, such that the inner surface of the eruption cavity is spaced apart from the outer surface of the one or more teeth that have not grown to the predetermined eruption parameters; the predetermined eruption parameters are designed to include tooth parameters after the one or more ungrown or incompletely grown teeth have fully erupted.

[0049] In the above prediction method, the third predetermined parameter includes: the maximum buccal-lingual diameter of the adjacent tooth in the distal direction, the maximum size in the mesiodistal direction, and the maximum height of the tooth in the mesiodistal direction along its long axis.

[0050] In the above prediction method, the eruption cavity is also set based on the size, position, shape and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to the predetermined eruption parameters, so that the structure of the eruption cavity does not affect the setting of the maxillary and mandibular occlusal relationship.

[0051] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0052] This invention provides a dental orthodontic system for invisible teeth straightening, comprising shell-shaped dental appliances. Each shell-shaped dental appliance includes an appliance body and an eruption portion. As the treatment plan progresses, the eruption portion of each shell-shaped dental appliance maintains a constant or substantially constant cylindrical structure. This shell-shaped dental appliance effectively corrects dental malocclusions. Simultaneously, the eruption portion on the appliance body accommodates teeth that have not yet reached the predetermined eruption parameters. The gap between the eruption portion and the un-erupted teeth ensures that, after wearing, the appliance body provides space above one or more un-erupted teeth for future tooth growth. Therefore, none of the shell-shaped dental appliances in the entire orthodontic system interfere with the natural growth of teeth during wear. Furthermore, the constant or substantially constant cylindrical structure of the eruption portion simplifies the design and use of each appliance and eruption portion. The eruption portion can be used as a standard attachment, which can be selected and inserted into a dental model during use.

[0053] Of course, any product implementing this invention does not necessarily need to achieve all of the advantages described above at the same time. Attached Figure Description

[0054] Figure 1 This is a frontal view of the shell-shaped orthodontic appliance of Embodiment 1 of the present invention;

[0055] Figure 2 This is a side view of the shell-shaped orthodontic appliance of Embodiment 1 of the present invention;

[0056] Figure 3 This is a frontal view of another shell-shaped orthodontic appliance according to Embodiment 1 of the present invention;

[0057] Figure 4 This is a side view of another shell-shaped orthodontic appliance according to Embodiment 1 of the present invention;

[0058] Figure 5This is a schematic diagram of the structure of the shell-shaped orthodontic appliance in Embodiment 1 of the present invention.

[0059] Figure 6 This is a schematic diagram of the design method of the orthodontic system according to Embodiment 2 of the present invention;

[0060] Figure 7 This is a frontal view of the shell-shaped orthodontic appliance of Embodiment 2 of the present invention;

[0061] Figure 8 This is a side view of the shell-shaped orthodontic appliance of Embodiment 2 of the present invention;

[0062] Figure 9 This is a frontal view of another shell-shaped orthodontic appliance according to Embodiment 2 of the present invention;

[0063] Figure 10 This is a side view of another shell-shaped orthodontic appliance according to Embodiment 2 of the present invention;

[0064] Figure 11 This is a frontal view of the shell-shaped orthodontic appliance of Embodiment 4 of the present invention;

[0065] Figure 12 This is a side view of the shell-shaped orthodontic appliance of Embodiment 4 of the present invention;

[0066] Figure 13 This is a frontal view of the shell-shaped orthodontic appliance of Embodiment 5 of the present invention;

[0067] Figure 14 This is a side view structural diagram of the shell-shaped orthodontic appliance of Embodiment 5 of the present invention.

[0068] Reference numerals: shell-shaped orthodontic appliance (100, 200, 400, 500); eruption portion (120, 220); appliance body (110, 210, 410, 510); eruption cavity (420, 520). Detailed Implementation

[0069] In the description of this invention, it should be noted that "one or more teeth that have not grown to the predetermined eruption parameters", that is, "one or more teeth that have not grown or have not fully grown", are also referred to as "erupting teeth" or "erupting teeth".

[0070] In the description of this invention, it should be noted that the terms "center," "upper," "lower," "left," "right," "vertical," "horizontal," "inner," and "outer," etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are used only for the convenience of describing the invention and for simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on the invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and should not be construed as indicating or implying relative importance.

[0071] As used in this specification, the singular forms “a,” “an,” and “the” include plural objects unless the content expressly indicates otherwise.

[0072] The present invention will be further described below with reference to specific embodiments.

[0073] Example 1

[0074] This embodiment provides a dental orthodontic system, including at least one shell-shaped orthodontic appliance 100 that gradually adjusts teeth from an initial position to a target orthodontic position according to a treatment plan while allowing teeth to erupt naturally. See also... Figures 1-5 This is a schematic diagram of the shell-shaped orthodontic appliance of this embodiment. The shell-shaped orthodontic appliance includes an appliance body 110, which includes a geometric structure for accommodating multiple maxillary or mandibular teeth. The appliance body 110 also has at least one eruption portion 120 for accommodating one or more teeth that have not grown to the predetermined eruption parameters. As the orthodontic plan progresses, the eruption portion 120 on each shell-shaped orthodontic appliance 100 has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion 120 is spaced apart from the outer surface of the teeth that have not grown to the predetermined eruption parameters. The predetermined eruption parameters include the parameters of the teeth after one or more ungrown or incompletely grown teeth have fully erupted.

[0075] This embodiment provides a dental orthodontic system for invisible teeth straightening, suitable for orthodontic treatment of adolescents in the mixed dentition stage. Because orthodontic treatment plans are often lengthy, lasting six months or even longer, patients in the mixed dentition stage require consideration of the impact of tooth eruption on the treatment plan. The system must be designed to accommodate the erupting teeth, ensuring that the erupting teeth are not subjected to forces generated by their interaction with the shell-shaped aligners, thus preventing interference with eruption. Otherwise, the aligner shell would cover the gum line at the eruption site, inhibiting tooth growth.

[0076] Specifically, the shell-shaped orthodontic appliance 100 (also referred to as an appliance) of this embodiment has the effect of correcting dental malocclusion. Simultaneously, the eruption portion 120 provided on the appliance body 110 is used to receive teeth that have not yet grown to the predetermined eruption parameters. The gap between the inner surface of the eruption portion 120 and the teeth that have not yet grown to the predetermined eruption parameters is designed so that, after the appliance body 110 is worn, space is reserved above one or more teeth that have not yet grown to the predetermined eruption parameters for tooth growth. Therefore, the shell-shaped orthodontic appliance 100 does not interfere with the natural growth of teeth when worn. Furthermore, the orthodontic system of this embodiment is suitable for orthodontic plans with multiple treatment stages. As the orthodontic plan progresses, the eruption portion 120 of each appliance body 110 has a constant or substantially constant cylindrical structure, ensuring that throughout the entire orthodontic system, each appliance body 110 never touches the teeth that have not yet grown to the predetermined eruption parameters. In addition, the structure of the eruption part 120 makes the design and use of each orthodontic appliance and the eruption part 120 simpler. It (eruption part 120) can be used as a standard attachment. When using it, the standard attachment can be selected and inserted into the dental model.

[0077] In some embodiments, the eruption predetermined parameters include the size, position, shape, and orientation of the teeth after the one or more ungrown or incompletely grown teeth have fully erupted. This size, position, shape, and orientation can be based on the size, position, shape, and orientation of the incompletely grown teeth obtained from a patient's CBCT scan, or based on the size, position, shape, and orientation of the ungrown or incompletely grown teeth obtained from one or more prosthetic databases, or based on the size, position, shape, and orientation of the ungrown or incompletely grown teeth statistically derived from large datasets.

[0078] In some embodiments, the constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

[0079] Specifically, as the orthodontic plan proceeds, the adjacent teeth of one or more teeth that have not grown to the predetermined eruption parameters are moved for orthodontic treatment, thereby making appropriate adjustments to the cylindrical structure of the eruption portion 120 to ensure a smooth transition and smooth connection between the eruption portion 120 and the rest of the shell-like body.

[0080] In some embodiments, the size of the column structure is 1.02-1.05 times the size of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted; more specifically, based on the size of the teeth after full eruption, which is a fixed size and will not change, the column structure designed by enlarging the fixed size by 1.02-1.05 times is larger than the size of the one or more teeth that have not grown to the predetermined eruption parameters after full eruption, ensuring that the one or more teeth that have not grown to the predetermined eruption parameters always remain in contact with the inner surface of the eruption portion 120 (eruption cavity) during the eruption process.

[0081] The orientation of the column structure is at an angle of 0-5° to the long axis of the one or more teeth that have not grown to the predetermined eruption parameters after they have fully erupted. More specifically, the orientation of the column structure is based on the orientation of the one or more teeth that have not grown to the predetermined eruption parameters after they have fully erupted. This orientation is a fixed orientation. Therefore, the orientation of the column structure designed based on this fixed orientation has a larger angle range than the orientation of the one or more teeth that have not grown to the predetermined eruption parameters after they have fully erupted. That is, the 0-5° angle orientation is expanded based on the long axis of the unerupted or incompletely erupted teeth, ensuring that the unerupted or incompletely erupted teeth do not come into contact with the formed eruption portion 120 (eruption cavity) during the eruption process.

[0082] The position of the columnar structure is determined by an offset of 0-1 mm from the position of the one or more teeth that have not yet reached the predetermined eruption parameter after full eruption in a three-dimensional coordinate system. More specifically, based on the position after full eruption, which is a defined position, the positions of each vertex of the columnar structure are offset outward from the inside of the eruption cavity 120 based on this defined position. It should be noted that the dental orthodontic system design is based on a digital jaw model, which is composed of multiple triangular facets in a unified three-dimensional coordinate system. Each vertex of each triangular facet has its corresponding spatial coordinate value in the three-dimensional coordinate system. The position of the one or more teeth that have not yet reached the predetermined eruption parameter after full eruption is determined based on the spatial coordinate value of each vertex that makes up the facet, that is, by expanding the offset by 0-1 mm based on each vertex of the eruption, ensuring that the eruption tooth does not contact the formed eruption cavity 120 (eruption cavity) during the eruption process.

[0083] The shape of the cylindrical structure is defined as a deviation of 0-1 mm from the shape of the one or more teeth that have fully erupted after reaching the predetermined eruption parameter in a three-dimensional coordinate system. More specifically, based on the shape of the fully erupted teeth that have not reached the predetermined eruption parameter, this shape is a defined shape, and therefore the shape of the cylindrical structure is determined based on this defined shape. It should be noted that the design of the dental orthodontic system is based on a digital dental model, which is composed of multiple triangular facets in a unified three-dimensional coordinate system. Each vertex of each triangular facet has its corresponding spatial coordinate value in the three-dimensional coordinate system. The shape of the fully erupted tooth, which has not yet reached the predetermined eruption parameters, is based on the spatial coordinates of each vertex that makes up the tooth. The shape of the cylindrical structure has a larger offset range than that of the fully erupted tooth, that is, it is expanded by an offset of 0-1mm based on each vertex of the unerupted or incompletely erupted tooth. The eruption portion 120 (eruption cavity) can smoothly transition with its adjacent geometry and remains non-contact with the erupting tooth throughout the eruption process. Within the above-mentioned range of size, position, shape, and orientation, it is the constant or substantially constant cylindrical structure described in this embodiment.

[0084] In some embodiments, the constant or substantially constant cylindrical structure is further defined based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet reached the predetermined eruption parameters, so that the constant or substantially constant cylindrical structure does not affect the setting of the maxillary occlusal relationship. Here, the opposing teeth refer to the teeth that occlude with the one or more teeth that have not yet reached the predetermined eruption parameters. The occlusal surface of the constant or substantially constant cylindrical structure can be designed based on these opposing teeth. The occlusal surface of the constant or substantially constant cylindrical structure can be designed as a plane, a curved surface, or a structure that matches the concave and convex surfaces of the opposing teeth. By designing the occlusal surface of the eruption portion 120 according to the opposing teeth, the eruption portion 120 can be matched with the cusp-fossa of the opposing teeth, or the occlusal surface of the eruption portion 120 can be matched with the concave and convex surfaces of the occlusal surfaces of the opposing teeth.

[0085] In some embodiments, the constant or substantially constant columnar structure is set simultaneously based on a first predetermined parameter of the mesial adjacent teeth and a second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0086] In some specific embodiments, the first predetermined parameters include the following for the adjacent teeth in the mesial direction: the maximum dimension L1 in the buccolingual direction, the maximum dimension D1 in the mesiodistal direction, and the maximum dimension H1 in the long axis direction. The second predetermined parameters include the following for the adjacent teeth in the distal direction: the maximum dimension L2 in the buccolingual direction, the maximum dimension D2 in the mesiodistal direction, and the maximum dimension H2 in the long axis direction. In one embodiment, such as Figure 1 , Figure 2 As shown, the eruption portion 120 on the shell-shaped orthodontic appliance 100 encloses the eruption of the second premolar. At this time, the first predetermined parameters are the maximum dimensions L1 (buctolingual diameter), D1 (mesiodistal diameter), and H1 (long axis height) of the first premolar; the second predetermined parameters are the maximum dimensions L2 (buctolingual diameter), D2 (mesiodistal diameter), and H2 (long axis height) of the first molar. The determination of a constant or substantially constant cylindrical structure based on the first and second predetermined parameters can be achieved by using the arithmetic mean or weighted average between L1 and L2 to determine the dimensions in the buctolingual direction; by using the arithmetic mean or weighted average between D1 and D2 to determine the dimensions in the mesiodistal direction; and by using the arithmetic mean or weighted average between H1 and H2 to determine the dimensions in the long axis direction. This ensures that the erupting portion 120 can best fit the size and shape of one or more teeth that have not yet grown to the predetermined eruption parameters throughout the entire orthodontic plan.

[0087] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial or distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial or distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial or distal adjacent teeth. This configuration allows the shell-shaped orthodontic appliance 100 to have a smoother shell structure that encloses the teeth, resulting in less foreign body sensation in the patient's mouth when wearing it. It should be noted that the constant or substantially constant cylindrical structure refers to the consistent shape, size, position, and orientation of the eruption portion 120. As teeth move during a series of shell-shaped orthodontic treatments, the eruption portion 120 will undergo some spatial adaptive adjustments due to the smooth transition connection with the geometry of adjacent teeth. Of course, in some embodiments, the constant or substantially constant cylindrical structure may only include the labial / buccal surface and the lingual surface, excluding the occlusal surface.

[0088] In some embodiments, the constant or substantially constant columnar structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the constant or substantially constant columnar structure does not affect the setting of the maxillary and mandibular occlusal relationship. The occlusal surface of the eruption portion 120 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concave and convex surfaces of the opposing teeth. By designing the occlusal surface of the eruption portion 120 according to the opposing teeth, the eruption portion 120 can match the cusp and fossa of the opposing teeth, or the occlusal surface of the eruption portion 120 can match the concave and convex surfaces of the occlusal surfaces of the opposing teeth.

[0089] In some embodiments, the constant or substantially constant columnar structure is set based on a third predetermined parameter of the distal adjacent teeth and the mesial adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0090] In some specific embodiments, the third predetermined parameter includes: the maximum buccal-lingual diameter of the distal adjacent tooth, the maximum mesiodistal diameter, and the maximum height of the mesiodistal adjacent tooth along its long axis. In some specific embodiments, such as... Figure 3 , Figure 4 As shown, the eruption portion 120 on the shell-shaped orthodontic appliance encloses the eruption of the second premolar. At this time, the third predetermined parameters are the maximum dimensions L3 in the buccal-lingual direction of the first molar, the maximum dimensions D3 in the mesiodistal direction, and the maximum dimensions H3 in the mesiodistal direction of the adjacent tooth's long axis. These parameters determine the maximum dimensions L3' in the buccal-lingual direction, D3' in the mesiodistal direction, and H3' in the mesiodistal direction of the adjacent tooth's long axis. The cylindrical structure, designed based on the maximum dimensions of the adjacent teeth in the buccal-lingual direction, the mesiodistal direction, and the mesiodistal direction of the adjacent teeth's long axis, is sufficient to accommodate one or more teeth that have not yet reached the predetermined eruption parameters. Furthermore, the size of the designed cylindrical structure is slightly larger than the one or more teeth that have not yet reached the predetermined eruption parameters, ensuring a gap can be provided between the cylindrical structure and the erupting tooth.

[0091] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial and distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial and distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial and distal adjacent teeth. This configuration allows the shell-shaped orthodontic appliance 100 worn by the patient to have a smoother shell structure that encloses the teeth, resulting in less foreign body sensation in the patient's mouth when wearing it.

[0092] In some embodiments, the constant or substantially constant columnar structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the constant or substantially constant columnar structure does not affect the setting of the maxillary and mandibular occlusal relationship. The occlusal surface of the eruption portion 120 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concave and convex surfaces of the opposing teeth. By designing the occlusal surface of the eruption portion 120 according to the opposing teeth, the eruption portion 120 can match the cusp and fossa of the opposing teeth, or the occlusal surface of the eruption portion 120 can match the concave and convex surfaces of the occlusal surfaces of the opposing teeth.

[0093] In some embodiments, the constant or substantially constant column structure is a cylindrical structure, an elliptical cylinder, or a polygonal prism structure with no less than four lateral edges. It can be set according to the number and type of erupting teeth, or it can be adaptively selected according to the eruption gap between adjacent teeth.

[0094] In some embodiments, the geometry of the shell-shaped orthodontic appliance 100, excluding the eruption portion 120, gradually adjusts the teeth (excluding unerupted teeth) from their initial positions to the target orthodontic positions. That is, in this embodiment, the eruption portion 120 is only reserved for the growth of one or more teeth that have not grown to the predetermined eruption parameters, ensuring that the shell-shaped orthodontic appliance 100 as a whole does not interfere with the natural growth of erupting teeth. However, the eruption portion 120 in this embodiment does not have a corrective effect on malformed erupting teeth. That is, if the one or more teeth that have not grown to the predetermined eruption parameters are malformed teeth, the eruption portion 120 in this embodiment is also set according to the erupting teeth without any corrective intervention. The geometry of the shell-shaped orthodontic appliance 100, excluding the eruption portion 120, gradually adjusts the teeth (excluding unerupted teeth) from their initial positions to the target orthodontic positions, meaning that the geometry other than the eruption portion 120 has a corrective effect on the remaining teeth (excluding erupting teeth), thus aligning the teeth without interfering with the eruption process.

[0095] Example 2

[0096] This embodiment provides a design method for a dental orthodontic system, such as Figure 6 The diagram shown illustrates the design method of this embodiment. The orthodontic system is any of the orthodontic systems described in Embodiment 1. The design method includes the following steps:

[0097] S1. Acquisition of a digital dental model: Acquiring a digital dental model, which includes a digital tooth model and a digital gingival model;

[0098] S2. Segmentation and identification of digital dental model: The digital dental model is segmented into independent digital gingival models and single digital crown models; data representing unerupted or incompletely erupted teeth are identified and marked;

[0099] S3. Virtual design of treatment plan: The single digital crown model is virtually designed so that the single digital crown model gradually changes from the initial position to the target treatment position, resulting in a series of intermediate digital dentition models;

[0100] S4. Design of the orthodontic system:

[0101] According to the orthodontic plan, at least one shell-shaped orthodontic appliance 200 is designed to gradually adjust the teeth from their initial position to the target orthodontic position and to simultaneously allow the teeth to erupt. The shell-shaped orthodontic appliance 200 includes an appliance body 210, which includes a geometric structure for accommodating multiple maxillary or mandibular teeth. The appliance body 210 is also provided with at least one eruption portion 220 for accommodating one or more teeth that have not grown to the predetermined eruption parameters.

[0102] As the orthodontic treatment plan progresses, the eruption portion 220 on each shell-shaped orthodontic appliance 200 has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion 220 is spaced apart from the outer surface of the tooth that has not grown to the predetermined eruption parameters.

[0103] Specifically, in the design method described in this embodiment,

[0104] In step S1, the digital maxillary and mandibular dental models can be obtained using any of the following methods: a digital model representing the original tooth layout can be obtained through tomographic X-ray scanning (CAT scan), digital computed tomography (CT) scan, cone-beam computed tomography (CBCT) scan, magnetic resonance imaging (MRI), intraoral optical scanning, etc.; or, a plaster casting of the patient's teeth can be made using conventional methods, and then the plaster casting can be scanned using scanning equipment such as laser scanning equipment or CT scanning equipment to obtain a digital model representing the original tooth layout.

[0105] The cutting of the digital dental model in step S2 can be performed using the following non-limiting embodiments:

[0106] S200: Select the first type of feature points on the digital dental model to be segmented, wherein the digital dental model is a triangular patch model.

[0107] S201: Classify the second type of feature points in the digital dental model according to the first type of feature points, and determine the teeth to which each second type of feature point belongs.

[0108] S202: Merge the second type of feature points belonging to each tooth to obtain the digital tooth region of each individual tooth after the digital dental model is segmented.

[0109] The first type of feature points mentioned above are triangular facet vertices selected based on the digital dental model and used to guide the segmentation of individual teeth in the dental jaw. The second type of feature points are triangular facet vertices selected based on the digital dental model and used to characterize the overall shape of the digital dental model. That is, the first type of feature points are used to guide the segmentation of the dental jaw, while the second type of feature points are the feature points used for the actual segmentation of the dental jaw. Through the segmentation guidance of the first type of feature points, the second type of feature points can be accurately classified to each tooth, thereby improving the segmentation accuracy of the dental jaw.

[0110] By selecting first-class feature points on the entire digital dental model, and then classifying and reassembling second-class feature points on the digital dental model based on the first-class feature points, the segmentation of a single tooth is achieved. Since the two types of feature points are selected based on the entire digital dental model, the classification information of the feature points covers the classification features of the entire digital dental model. Therefore, even if there is noisy data in the model, the noisy data will be evenly distributed into the global data, making the entire segmentation method highly tolerant and allowing for more accurate segmentation of a single tooth, thus ensuring the integrity of each tooth.

[0111] Furthermore, in step S2, the teeth of the cut tooth model are identified and marked. The specific implementation of identifying and marking data representing teeth that have not grown to the predetermined eruption parameters can be to first identify the tooth position, and then compare the volume of the identified teeth with that of standard teeth. When the volume of the identified teeth is less than the volume of the corresponding standard teeth within a certain threshold, it is marked as a tooth that has not grown to the predetermined eruption parameters. The threshold is, for example, half the volume of the standard teeth.

[0112] More specifically, the tooth position identification method can be implemented as follows: Step 1: Establish a first prior model, a second prior model, and a third prior model; wherein, the first prior model includes collecting the distance between every two adjacent teeth in an existing tooth model and the number of missing teeth corresponding to that distance, and calculating the probability distribution function value for the distance between different numbers of missing teeth; the second prior model includes collecting the feature quantity of the representation position of each tooth in an existing tooth model, and calculating the probability distribution function value for the feature quantity of at least the representation position of teeth with the same number; the third prior model includes collecting the tooth position arrangement of every two adjacent teeth in an existing tooth model, whether the teeth are not missing or after different numbers of missing teeth, and calculating the probability distribution function value of the tooth position arrangement; Step 2: Obtain the feature quantity of the representation position of each tooth in the tooth model to be tested and the distance between two adjacent teeth; Step 3: Determine the tooth position of the tooth model to be tested based on a hidden Markov model. The tooth position is identified using the above method. Then, the tooth volume is compared with the tooth position marker and the standard tooth model. For example, the change of feature point coordinate values ​​is compared within a certain threshold range, and it is determined whether the tooth is marked as a tooth that has not grown to the predetermined eruption parameters.

[0113] In step S3, the single digital crown model is virtually designed so that it gradually changes from its initial position to the target orthodontic position, resulting in a series of intermediate digital dentition models. The initial position can be the original tooth layout before orthodontic treatment begins, or any stage in the treatment process. The target orthodontic position is any stage after orthodontic treatment, which can be the next stage or several stages after the original tooth layout. The target orthodontic position can be the position determined by the doctor and medical designers based on the patient's needs and intraoral condition, or it can be recommended based on similar cases using intraoral digital design software, or it can be adjusted to make more targeted adjustments to the patient's treatment based on the recommendation results.

[0114] In step S4, the design of the orthodontic system,

[0115] At least one shell-shaped orthodontic appliance 200 is designed according to the orthodontic plan to gradually adjust teeth from their initial positions to the target orthodontic positions and simultaneously facilitate tooth eruption. This shell-shaped orthodontic appliance 200 can be used at any stage of the orthodontic plan, such as the initial or final stage. The eruption portion 220, with a constant or substantially constant cylindrical structure, can be configured as a standard attachment, allowing clinicians or other users to directly select and insert this standard attachment into the dental model during the design of the shell-shaped orthodontic appliance 200, making it convenient to use.

[0116] In some embodiments, the constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

[0117] Specifically, as the orthodontic plan progresses, the adjacent teeth of one or more teeth that have not grown to the predetermined eruption parameters are moved for orthodontic treatment. This results in a smooth transition and appropriate adjustment of the cylindrical structure of the eruption portion 220, ensuring a smooth connection between the eruption portion 220 and the remaining shell-like body. In some embodiments, the size of the cylindrical structure is 1.02-1.05 times the size of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted. More specifically, based on the aforementioned size of the teeth after the teeth that have not grown to the predetermined eruption parameters have fully erupted, this size is fixed and will not change. Therefore, the cylindrical structure designed based on this fixed size is larger than the size of the teeth after the teeth that have not grown to the predetermined eruption parameters have fully erupted, ensuring that the unerupted or incompletely erupted teeth remain in contact with the formed eruption cavity during the eruption process.

[0118] The orientation of the column structure is at an angle of 0-5° to the long axis of the one or more teeth that have not grown to the predetermined eruption parameter after they have fully erupted. More specifically, based on the orientation of the one or more teeth that have not grown to the predetermined eruption parameter after they have fully erupted, this orientation is a definite orientation. Therefore, the orientation of the column structure is determined based on the definite orientation. This orientation has a larger angle range than the orientation of the teeth that have not grown to the predetermined eruption parameter after they have fully erupted. That is, the 0-5° angle orientation is expanded based on the long axis of the teeth that have not grown to the predetermined eruption parameter, ensuring that the unerupted or incompletely erupted teeth do not contact the formed eruption portion 220 (eruption cavity) during the eruption process.

[0119] The position of the columnar structure is determined by an offset of 0-1 mm from the position of the one or more teeth that have not yet reached the predetermined eruption parameter after full eruption in a three-dimensional coordinate system. More specifically, based on the position of the teeth that have not yet reached the predetermined eruption parameter after full eruption, the position of each vertex of the determined columnar structure is offset outward from the inside of the eruption portion 120 based on the determined position. It should be noted that the dental orthodontic system design is based on a digital dental model, which is composed of multiple triangular facets in a unified three-dimensional coordinate system. Each vertex of each triangular facet has its corresponding spatial coordinate value in the three-dimensional coordinate system. The position of the one or more teeth that have not yet reached the predetermined eruption parameter after full eruption is determined based on the spatial coordinate value of each vertex that makes up the facet, that is, by expanding the offset by 0-1 mm based on each vertex of the eruption, ensuring that the eruption portion 120 (eruption cavity) remains non-contacting during the eruption process.

[0120] The shape of the columnar structure is defined as an offset of 0-1 mm from the shape of the one or more teeth that have not yet reached the predetermined eruption parameter after full eruption, in a three-dimensional coordinate system. More specifically, based on the shape of the teeth that have not yet reached the predetermined eruption parameter after full eruption, this shape is a defined shape, and therefore the shape of the columnar structure is determined based on this defined shape. It should be noted that the design of the dental orthodontic system is based on a digital dental model. This digital dental model is composed of multiple triangular facets in a unified three-dimensional coordinate system. Each vertex of each triangular facet has its corresponding spatial coordinate value in the three-dimensional coordinate system. The shape of the fully erupted tooth that has not grown to the predetermined eruption parameter is based on the spatial coordinate value of each vertex that makes it up. The shape of the cylindrical structure has a larger offset range than the shape of the fully erupted tooth that has not grown to the predetermined eruption parameter. That is, it is expanded by an offset of 0-1mm based on the vertices of the unerupted or incompletely erupted tooth. The eruption part 120 (eruption cavity) can smoothly transition with its adjacent geometric structures and always remain in contact with the erupting tooth during the eruption process. Within the above-mentioned range of size, position, shape, and orientation, it is the constant or substantially constant cylindrical structure described in this embodiment.

[0121] In some embodiments, the constant or substantially constant cylindrical structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the constant or substantially constant cylindrical structure does not affect the setting of the maxillary occlusal relationship. Here, the opposing teeth refer to the teeth that occlude with the one or more teeth that have not yet grown to the predetermined eruption parameters. The occlusal surface of the constant or substantially constant cylindrical structure can be designed based on these opposing teeth. The occlusal surface of the constant or substantially constant cylindrical structure can be designed as a plane, a curved surface, or a structure that matches the concavity and convexity of the opposing teeth. By designing the occlusal surface of the eruption portion 220 according to the opposing teeth, the eruption portion 220 can be matched with the cusp-fossa of the opposing teeth, or the occlusal surface of the eruption portion 220 can be matched with the concavity and convexity of the occlusal surface of the opposing teeth.

[0122] In some embodiments, the constant or substantially constant columnar structure is set simultaneously based on a first predetermined parameter of the mesial adjacent teeth and a second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0123] In some specific embodiments, the first predetermined parameters include the following for the adjacent teeth in the mesial direction: the maximum dimension L1 in the buccolingual direction, the maximum dimension D1 in the mesiodistal direction, and the maximum dimension H1 in the long axis direction. The second predetermined parameters include the following for the adjacent teeth in the distal direction: the maximum dimension L2 in the buccolingual direction, the maximum dimension D2 in the mesiodistal direction, and the maximum dimension H2 in the long axis direction. In one embodiment, such as Figure 7 , Figure 8 As shown, the eruption portion 220 on the shell-shaped orthodontic appliance 200 encloses the eruption of the second premolar. At this time, the first predetermined parameters are the maximum dimensions of the first premolar in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the tooth's long axis height; the second predetermined parameters are the maximum dimensions of the first molar in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the tooth's long axis height. The method for determining a constant or substantially constant cylindrical structure based on the first and second predetermined parameters can be achieved by using the arithmetic mean or weighted average between L1 and L2 to determine the dimensions in the buccal-lingual direction; by using the arithmetic mean or weighted average between D1 and D2 to determine the dimensions in the mesiodistal direction; and by using the arithmetic mean or weighted average between H1 and H2 to determine the dimensions in the long axis direction. This ensures that the erupting portion 220 can best fit the size and shape of one or more teeth that have not yet grown to the predetermined eruption parameters throughout the entire orthodontic plan.

[0124] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of adjacent teeth in the mesial and distal directions. This configuration allows the shell-shaped orthodontic appliance 200 worn by the patient to have a smoother shell structure that encloses the teeth, resulting in less foreign body sensation in the mouth when worn. It should be noted that the constant or substantially constant cylindrical structure refers to the consistent shape, size, position, and orientation of the eruption portion 220. Due to the movement of teeth during the orthodontic treatment process, the smooth transition between the eruption portion 220 and the adjacent tooth cavity requires some spatial adaptation. In some embodiments, the constant or substantially constant cylindrical structure may also include only the labial / buccal surface and the lingual surface, excluding the occlusal surface.

[0125] In some embodiments, the constant or substantially constant columnar structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the constant or substantially constant columnar structure does not affect the setting of the maxillary and mandibular occlusal relationship. The occlusal surface of the eruption portion 220 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concave and convex surfaces of the opposing teeth. By designing the occlusal surface of the eruption portion 220 according to the opposing teeth, the eruption portion 220 can achieve cusp-fossa matching with the opposing teeth, or the occlusal surface of the eruption portion 220 can achieve concave-convex matching with the occlusal surface of the opposing teeth.

[0126] In some embodiments, the constant or substantially constant columnar structure is set based on a third predetermined parameter of the distal adjacent teeth and the mesial adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

[0127] In some specific embodiments, the third predetermined parameter includes: the maximum buccal-lingual diameter of the distal adjacent tooth, the maximum mesiodistal diameter, and the maximum height of the mesiodistal adjacent tooth along its long axis. In some specific embodiments, such as... Figure 9 , Figure 10As shown, the eruption portion 220 on the orthodontic appliance encloses the eruption of the second premolar. At this time, the third predetermined parameters are the maximum dimensions L3 (buctolingual diameter) of the first molar, D3 (mesidistal diameter), and H3 (height of the adjacent tooth in the mesial direction). These parameters determine the maximum dimensions L3' (buctolingual diameter), D3' (mesidistal diameter), and H3' (height of the adjacent tooth in the mesial direction) of the eruption portion 220 of the second premolar. Therefore, the cylindrical structure designed based on the maximum dimensions of the adjacent tooth in the mesial direction (buctolingual diameter), mesidistal direction, and height of the adjacent tooth in the mesial direction is sufficient to accommodate one or more teeth that have not yet reached the predetermined eruption parameters. Furthermore, the size of the designed cylindrical structure is slightly larger than the one or more teeth that have not yet reached the predetermined eruption parameters, ensuring a gap between the cylindrical structure and the erupting tooth.

[0128] In some embodiments, the constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial and distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial and distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial and distal adjacent teeth. This structural arrangement allows the shell-shaped orthodontic appliance 200 worn by the patient to have a smoother shell structure that encloses the teeth, resulting in less foreign body sensation in the patient's mouth when wearing it.

[0129] In some embodiments, the constant or substantially constant columnar structure is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the constant or substantially constant columnar structure does not affect the setting of the maxillary and mandibular occlusal relationship. The occlusal surface of the eruption portion 220 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concave and convex surfaces of the opposing teeth. By designing the occlusal surface of the eruption portion 220 according to the opposing teeth, the eruption portion 220 can achieve cusp-fossa matching with the opposing teeth, or the occlusal surface of the eruption portion 220 can achieve concave-convex matching with the occlusal surface of the opposing teeth.

[0130] In some embodiments, the constant or substantially constant column structure is a cylindrical structure, an elliptical cylinder, or a polygonal prism structure with no less than four lateral edges. It can be set according to the number and type of erupting teeth, or it can be adaptively selected according to the eruption gap between adjacent teeth.

[0131] In some embodiments, the geometry of the shell-shaped orthodontic appliance 200, excluding the eruption portion 220, gradually adjusts the teeth (excluding unerupted teeth) from their initial positions to the target orthodontic positions. That is, in this embodiment, the eruption portion 220 only reserves space for the growth of one or more teeth that have not grown to the predetermined eruption parameters, ensuring that the shell-shaped orthodontic appliance 200 as a whole does not interfere with the natural growth of erupting teeth. However, the eruption portion 220 in this embodiment does not have a corrective effect on malformed erupting teeth. That is, if the one or more teeth that have not grown to the predetermined eruption parameters are malformed teeth, the eruption portion 220 in this embodiment is also set according to the erupting teeth without any corrective intervention. Meanwhile, the geometry of the shell-shaped orthodontic appliance 100, excluding the eruption portion 120, gradually adjusts the teeth (excluding unerupted teeth) from their initial positions to the target orthodontic positions. This means that the geometry, excluding the eruption portion 120, has a corrective effect on the remaining teeth (excluding erupting teeth), allowing for tooth alignment without interfering with the eruption of buds.

[0132] Example 3

[0133] This embodiment also provides a method for preparing a dental orthodontic system, wherein the shell-shaped dental appliance in the dental orthodontic appliance system obtained according to any of the design methods described in Embodiment 2 is manufactured by hot pressing or additive manufacturing process to obtain the series of shell-shaped dental appliances.

[0134] For example, when using the hot-press molding process, the specific preparation method includes: 3D printing based on the digital dental model and a series of intermediate digital dental models to produce a physical dental model; then hot-press molding on the physical dental model to obtain a shell-shaped dental instrument containing the shape of teeth; and then cutting along the gingival line or adjacent to the gingival line on the shell-shaped dental instrument containing the shape of teeth to obtain a shell-shaped orthodontic appliance that can accommodate teeth.

[0135] For example, when using additive manufacturing, the specific manufacturing process involves using 3D printing to print the digital model of the designed shell-shaped orthodontic appliance.

[0136] Example 4

[0137] A method for predicting the eruption cavity of a shell-shaped orthodontic appliance, comprising at least one shell-shaped orthodontic appliance 400 designed according to a treatment plan to gradually adjust teeth from an initial position to a target treatment position and simultaneously allow tooth eruption; one shell-shaped orthodontic appliance 400 includes an appliance body 410 with a geometric structure for accommodating multiple maxillary or mandibular teeth and at least one eruption cavity 420 for accommodating one or more teeth that have not grown to predetermined eruption parameters; the eruption cavity 420 is predicted based on a first predetermined parameter of the mesial adjacent teeth and a second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to predetermined eruption parameters, such that the inner surface of the eruption cavity 420 and the outer surface of the teeth that have not grown to predetermined eruption parameters are spaced apart; the predetermined eruption parameters are designed to include tooth parameters after the one or more ungrown or incompletely grown teeth have fully erupted.

[0138] In some embodiments, the eruption predetermined parameters include the size, position, shape, and orientation of the teeth after the one or more ungrown or incompletely grown teeth have fully erupted. This size, position, shape, and orientation can be based on the size, position, shape, and orientation of the incompletely grown teeth obtained from a patient's CBCT scan, or based on the size, position, shape, and orientation of the ungrown or incompletely grown teeth obtained from one or more prosthetic databases, or based on the size, position, shape, and orientation of the ungrown or incompletely grown teeth statistically derived from large datasets.

[0139] In some embodiments, the first predetermined parameter includes the maximum dimensions of the adjacent teeth in the mesial direction in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the tooth height in the long axis direction; the second predetermined parameter includes the maximum dimensions of the adjacent teeth in the distal direction in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of the tooth height in the long axis direction.

[0140] In some specific embodiments, the first predetermined parameters include the following for the adjacent teeth in the mesial direction: the maximum dimension L1 in the buccolingual direction, the maximum dimension D1 in the mesiodistal direction, and the maximum dimension H1 in the long axis direction. The second predetermined parameters include the following for the adjacent teeth in the distal direction: the maximum dimension L2 in the buccolingual direction, the maximum dimension D2 in the mesiodistal direction, and the maximum dimension H2 in the long axis direction. In one embodiment, such as Figure 11 , Figure 12As shown, the eruption cavity 420 on the shell-shaped orthodontic appliance 400 is designed to enclose the eruption of the second premolar. The first predetermined parameters are the maximum dimensions of the first premolar in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of its height along the long axis. The second predetermined parameters are also the maximum dimensions of the first premolar in the buccal-lingual direction, the maximum dimensions in the mesiodistal direction, and the maximum dimensions of its height along the long axis. The eruption cavity 420 can be determined based on these first and second predetermined parameters. This can be achieved by using the arithmetic mean or weighted average between L1 and L2 to determine the buccal-lingual dimension; by using the arithmetic mean or weighted average between D1 and D2 to determine the mesiodistal dimension; and by using the arithmetic mean or weighted average between H1 and H2 to determine the long axis dimension. To ensure that the eruption cavity 420 can best fit the size and shape of one or more teeth that have not yet grown to the predetermined eruption parameters throughout the entire orthodontic program.

[0141] In some embodiments, the eruption cavity 420 includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial or distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial or distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial or distal adjacent teeth. This structural arrangement provides a smoother shell structure that encloses the teeth when the patient wears the shell-shaped orthodontic appliance 400, resulting in less of a foreign body sensation in the mouth.

[0142] In some embodiments, the eruption cavity 420 is further configured based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the structure of the eruption cavity 420 does not affect the setting of the maxillary occlusal relationship. The occlusal surface of the eruption cavity 420 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concavity and convexity of the opposing teeth. By designing the occlusal surface of the eruption cavity 420 according to the opposing teeth, the eruption cavity 420 can achieve cusp-fossa matching with the opposing teeth, or the occlusal surface of the eruption cavity 420 can achieve concavity-convexity matching with the occlusal surface of the opposing teeth.

[0143] Example 5

[0144] A method for predicting the eruption cavity of a shell-shaped orthodontic appliance, comprising at least one shell-shaped orthodontic appliance 500 designed according to a treatment plan to gradually adjust teeth from an initial position to a target treatment position and simultaneously allow tooth eruption; one shell-shaped orthodontic appliance 500 includes an appliance body 510 with a geometric structure for accommodating multiple maxillary or mandibular teeth and at least one eruption cavity 520 for accommodating one or more teeth that have not grown to the predetermined eruption parameters; the eruption cavity 520 is predicted based on a third predetermined parameter of the distal and mesial adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameters, such that the inner surface of the eruption cavity 520 is spaced from the outer surface of the teeth that have not grown to the predetermined eruption parameters; the predetermined eruption parameters are designed to include tooth parameters after the one or more ungrown or incompletely grown teeth have fully erupted.

[0145] In some embodiments, the third predetermined parameter includes: the maximum buccal-lingual diameter of the distal adjacent tooth, the maximum size in the mesiodistal direction, and the maximum height of the mesiodistal adjacent tooth along its long axis. In some specific embodiments, such as Figure 13 , Figure 14 As shown, the eruption cavity 520 on the shell-shaped orthodontic appliance 500 is designed to enclose the eruption of the second premolar. The third predetermined parameters are the maximum dimensions L3 (buctolingual diameter) of the first molar, D3 (mesidistal diameter), and H3 (height along the long axis of the adjacent tooth in the mesial direction). These parameters determine the maximum dimensions L3' (buctolingual diameter), D3' (mesidistal diameter), and H3' (height along the long axis of the adjacent tooth in the mesial direction) of the eruption cavity 520 for the second premolar. The eruption cavity 520, designed based on the maximum dimensions of the adjacent teeth in the buctolingual, mesidistal, and long axis directions, is sufficient to accommodate one or more teeth that have not yet reached the predetermined eruption parameters. Furthermore, the size of the designed eruption cavity 520 is slightly larger than the one or more teeth that have not yet reached the predetermined eruption parameters, ensuring a gap between the eruption cavity 520 and the erupting tooth.

[0146] In some embodiments, the eruption cavity 520 includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of its mesial or distal adjacent teeth. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of its mesial or distal adjacent teeth. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of its mesial or distal adjacent teeth. This structural arrangement allows the shell-shaped orthodontic appliance 500 worn by the patient to have a smoother shell structure that encloses the teeth, resulting in less of a foreign body sensation in the mouth.

[0147] In some embodiments, the eruption cavity 520 is further set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not yet grown to the predetermined eruption parameters, so that the structure of the eruption cavity 520 does not affect the setting of the maxillary occlusal relationship. The occlusal surface of the eruption cavity 520 in this embodiment can be designed as a plane, a curved surface, or a structure that matches the concavity and convexity of the opposing teeth. By designing the occlusal surface of the eruption cavity 520 according to the opposing teeth, the eruption cavity 520 can achieve cusp-fossa matching with the opposing teeth, or the occlusal surface of the eruption cavity 520 can achieve concavity-convexity matching with the occlusal surface of the opposing teeth.

[0148] In some embodiments, the eruption cavity 520 is a cylindrical structure, an elliptical cylinder, or a multi-faceted prism structure with no less than four lateral edges. It can be set according to the number and type of missing teeth, or it can be adaptively selected according to the eruption gap between adjacent teeth.

[0149] The above-disclosed embodiments are merely preferred embodiments of the present invention. These preferred embodiments do not exhaustively describe all details. It should be understood that these embodiments are only used to illustrate the present invention and are not intended to limit the scope of protection of the present invention. The present invention is limited only by the claims and their full scope and equivalents.

[0150] This specification selects and specifically describes these embodiments to better explain the principles and practical applications of the present invention, thereby enabling those skilled in the art to make good use of the present invention. The technical features in the different embodiments above can be arbitrarily combined without conflict. Improvements and adjustments made by those skilled in the art in practical applications based on the present invention still fall within the protection scope of the present invention.

Claims

1. A dental orthodontic system comprising at least one shell-shaped dental appliance that gradually adjusts teeth from an initial position to a target orthodontic position according to a treatment plan while simultaneously allowing the teeth to erupt naturally, characterized in that, The shell-shaped orthodontic appliance includes an appliance body, which has a geometric structure for accommodating multiple maxillary or mandibular teeth. The appliance body also has at least one eruption portion for accommodating one or more teeth that have not yet grown to the predetermined eruption parameters. As the treatment plan progresses, each eruption portion on the shell-shaped orthodontic appliance has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion is spaced apart from the outer surface of the tooth that has not grown to the predetermined eruption parameters. The predetermined eruption parameters include the tooth parameters after one or more ungrown or incompletely grown teeth have fully erupted.

2. The orthodontic system according to claim 1, characterized in that, The eruption parameters include the size, position, shape, and orientation of the teeth after the one or more ungrown or incompletely grown teeth have fully erupted.

3. The orthodontic system according to claim 1 or 2, characterized in that, The constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

4. The orthodontic system according to claim 3, characterized in that, The dimensions of the cylindrical structure are 1.02-1.05 times the dimensions of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted; the orientation of the cylindrical structure is at an angle of 0-5° to the long axis of the one or more teeth that have not grown to the predetermined eruption parameters; the position of the cylindrical structure is 0-1mm off from the position of the one or more teeth that have not grown to the predetermined eruption parameters in the three-dimensional coordinate system at each vertex; the shape of the cylindrical structure... The shape is defined as the offset of the coordinate values ​​of each vertex in the three-dimensional coordinate system from the shape of the one or more teeth that have not grown to the predetermined eruption parameters after they have fully erupted, which is 0-1mm.

5. The orthodontic system according to claim 3, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

6. The orthodontic system according to claim 1 or 2, characterized in that, The constant or substantially constant columnar structure is set based simultaneously on the first predetermined parameter of the mesial adjacent teeth and the second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

7. The orthodontic system according to claim 6, characterized in that, The first predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the mesial direction; the second predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the distal direction.

8. The orthodontic system according to claim 7, characterized in that, The constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

9. The orthodontic system according to claim 6, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

10. The orthodontic system according to claim 1 or 2, characterized in that, The constant or substantially constant columnar structure is set based on a third predetermined parameter of the distal adjacent teeth and the mesial adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameter.

11. The orthodontic system according to claim 10, characterized in that, The third predetermined parameter includes: the maximum buccal-lingual diameter of the distal adjacent tooth, the maximum mesiodistal diameter, and the maximum height of the mesiodistal adjacent tooth along its long axis.

12. The orthodontic system according to claim 10, characterized in that, The constant or substantially constant cylindrical structure includes a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

13. The orthodontic system according to claim 10, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

14. The orthodontic system according to claim 1, characterized in that, The constant or substantially constant column structure is a cylindrical structure, an elliptical column structure, or a polygonal column structure with no less than four lateral edges.

15. The orthodontic system according to claim 1, characterized in that, The geometry of the shell-shaped orthodontic appliance, excluding the erupting portion, allows the teeth, excluding unerupted teeth, to be gradually adjusted from their initial positions to the target orthodontic positions.

16. A design method for a dental orthodontic system, characterized in that, The design method includes the following steps: S1. Acquisition of a digital dental model: Acquiring a digital dental model, which includes a digital tooth model and a digital gingival model; S2. Segmentation and identification of digital dental model: The digital dental model is segmented into independent digital gingival models and single digital crown models; data representing unerupted or incompletely erupted teeth are identified and marked; S3. Virtual design of treatment plan: The single digital crown model is virtually designed so that the single digital crown model gradually changes from the initial position to the target treatment position, resulting in a series of intermediate digital dentition models; S4. Design of the orthodontic system: According to the orthodontic plan, at least one shell-shaped orthodontic appliance is designed to gradually adjust the teeth from their initial position to the target orthodontic position and to simultaneously allow the teeth to erupt. The shell-shaped orthodontic appliance includes an appliance body, which includes a geometric structure for accommodating multiple maxillary or mandibular teeth. The appliance body is also provided with at least one eruption portion for accommodating one or more teeth that have not grown to the predetermined eruption parameters. As the orthodontic treatment plan progresses, the eruption portion of each shell-shaped orthodontic appliance has a constant or substantially constant cylindrical structure, and the inner surface of the eruption portion is spaced apart from the outer surface of the tooth that has not grown to the predetermined eruption parameters; the predetermined eruption parameters are designed to include the tooth parameters after the one or more ungrown or incompletely grown teeth have fully erupted.

17. The design method of the orthodontic system according to claim 16, characterized in that, The eruption parameters include the size, position, shape, and orientation of the teeth after the one or more ungrown or incompletely grown teeth have fully erupted.

18. The design method of the orthodontic system according to claim 16 or 17, characterized in that, The constant or substantially constant columnar structure is set based on the size, position, shape, and orientation of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted.

19. The design method of the orthodontic system according to claim 18, characterized in that, The size of the cylindrical structure is 1.02-1.05 times the size of the teeth after the one or more teeth that have not grown to the predetermined eruption parameters have fully erupted; the orientation of the cylindrical structure is at an angle of 0-5° to the long axis orientation of the one or more teeth that have not grown to the predetermined eruption parameters; the position of the cylindrical structure is offset from the position of the one or more teeth that have not grown to the predetermined eruption parameters by 0-1mm in the coordinate values ​​of each vertex in the three-dimensional coordinate system; the shape of the cylindrical structure is offset from the shape of the one or more teeth that have not grown to the predetermined eruption parameters by 0-1mm in the coordinate values ​​of each vertex in the three-dimensional coordinate system.

20. The design method of the orthodontic system according to claim 18, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

21. The design method of the orthodontic system according to claim 16 or 17, characterized in that, The constant or substantially constant columnar structure is set based simultaneously on the first predetermined parameter of the mesial adjacent teeth and the second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the eruption predetermined parameter.

22. The design method of the orthodontic system according to claim 21, characterized in that, The first predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the mesial direction; the second predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the distal direction.

23. The design method of the orthodontic system according to claim 22, characterized in that, The constant or substantially constant columnar structure is designed to include a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

24. The design method of the orthodontic system according to claim 22, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

25. The design method of the orthodontic system according to claim 16 or 17, characterized in that, The constant or substantially constant columnar structure is set based on a third predetermined parameter of the distal adjacent teeth and the mesial adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameter.

26. The design method of the orthodontic system according to claim 25, characterized in that, The third predetermined parameters include: the maximum buccal-lingual diameter of the adjacent teeth in the distal direction, the maximum size in the mesiodistal direction, and the maximum height of the long axis of the adjacent teeth in the mesiodistal direction.

27. The design method of the orthodontic system according to claim 25, characterized in that, The constant or substantially constant columnar structure is designed to include a labial / buccal surface, a lingual surface, and an occlusal surface. The labial / buccal surface is a plane or a curved surface that smoothly transitions to the labial / buccal surface of the adjacent teeth in the mesial and distal directions. The lingual surface is a plane or a curved surface that smoothly transitions to the lingual surface of the adjacent teeth in the mesial and distal directions. The occlusal surface is a plane or a curved surface that smoothly transitions to the occlusal surface of the adjacent teeth in the mesial and distal directions.

28. The design method of the orthodontic system according to claim 25, characterized in that, The constant or substantially constant column structure is also set based on the size, position, shape and orientation of the teeth corresponding to the one or more teeth that have not grown to the eruption predetermined parameters, so that the constant or substantially constant column structure does not affect the setting of the maxillary and mandibular occlusal relationship.

29. The design method of the orthodontic system according to claim 16, characterized in that, The constant or substantially constant column structure is designed as a cylindrical structure, an elliptical column structure, or a polygonal column structure with no less than four lateral edges.

30. The design method of the orthodontic system according to claim 16, characterized in that, The geometry of the shell-shaped orthodontic appliance, excluding the erupting portion, is designed to gradually adjust the teeth (excluding unerupted teeth) from their initial position to the target orthodontic position.

31. A method for preparing a dental orthodontic system, characterized in that, The shell-shaped dental appliance in the dental appliance system obtained by any of the design methods described in claims 16-30 is manufactured by hot pressing or additive manufacturing processes to obtain the series of shell-shaped dental appliances.

32. A method for predicting the eruption cavity of a shell-shaped orthodontic appliance, characterized in that, According to the orthodontic plan, at least one shell-shaped orthodontic appliance is designed to gradually adjust the teeth from their initial position to the target orthodontic position and to simultaneously facilitate tooth eruption. in One of the shell-shaped orthodontic appliances includes an appliance body with a geometry that accommodates multiple maxillary or mandibular teeth and at least one eruption cavity that accommodates one or more teeth that have not grown to the predetermined eruption parameters. The eruption cavity is predicted based on the first predetermined parameter of the mesial adjacent teeth and the second predetermined parameter of the distal adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameter, such that the inner surface of the eruption cavity is spaced apart from the outer surface of the one or more teeth that have not grown to the predetermined eruption parameter, wherein the eruption cavity is a cylindrical structure with a constant or substantially constant shape. The eruption pre-defined parameters are designed to include the parameters of teeth after one or more ungrown or incompletely grown teeth have fully erupted.

33. The method for predicting the eruption cavity of a shell-shaped orthodontic appliance according to claim 32, characterized in that, The first predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the mesial direction; the second predetermined parameter includes the maximum dimensions of the buccal-lingual diameter, the maximum dimensions of the mesiodistal diameter, and the maximum dimensions of the height of the tooth in the long axis direction for the adjacent teeth in the distal direction.

34. The method for predicting the eruption cavity of a shell-shaped orthodontic appliance according to claim 32, characterized in that, The eruption cavity is also set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to the predetermined eruption parameters, so that the structure of the eruption cavity does not affect the setting of the occlusal relationship between the upper and lower jaws.

35. A method for predicting the eruption cavity of a shell-shaped orthodontic appliance, characterized in that, According to the orthodontic plan, at least one shell-shaped orthodontic appliance is designed to gradually adjust the teeth from their initial position to the target orthodontic position and to simultaneously facilitate tooth eruption. in One of the shell-shaped orthodontic appliances includes an appliance body with a geometry that accommodates multiple maxillary or mandibular teeth and at least one eruption cavity that accommodates one or more teeth that have not grown to the predetermined eruption parameters. The eruption cavity is predicted based on third predetermined parameters of the distal and mesial adjacent teeth of the one or more teeth that have not grown to the predetermined eruption parameters, such that the inner surface of the eruption cavity is spaced apart from the outer surface of the one or more teeth that have not grown to the predetermined eruption parameters. The eruption cavity is a cylindrical structure with a constant or substantially constant shape; the predetermined eruption parameters are designed to include the parameters of one or more teeth after they have fully erupted, whether they are undisturbed or incompletely grown.

36. The method for predicting the eruption cavity of a shell-shaped orthodontic appliance according to claim 35, characterized in that, The third predetermined parameter includes: the maximum buccal-lingual diameter of the adjacent tooth in the distal direction, the maximum size in the mesiodistal direction, and the maximum height of the adjacent tooth in the mesiodistal direction along its long axis.

37. The method for predicting the eruption cavity of a shell-shaped orthodontic appliance according to claim 35, characterized in that, The eruption cavity is also set based on the size, position, shape, and orientation of the opposing teeth corresponding to the one or more teeth that have not grown to the predetermined eruption parameters, so that the structure of the eruption cavity does not affect the setting of the occlusal relationship between the upper and lower jaws.

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