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WO2022086052A1 - Dental interlocking simulation method and system - Google Patents

Dental interlocking simulation method and system Download PDF

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Publication number
WO2022086052A1
WO2022086052A1 PCT/KR2021/014235 KR2021014235W WO2022086052A1 WO 2022086052 A1 WO2022086052 A1 WO 2022086052A1 KR 2021014235 W KR2021014235 W KR 2021014235W WO 2022086052 A1 WO2022086052 A1 WO 2022086052A1
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WIPO (PCT)
Prior art keywords
occlusion
tooth
feature point
point
simulation method
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Ceased
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PCT/KR2021/014235
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French (fr)
Korean (ko)
Inventor
안재명
정승혜
팽준영
홍재성
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Samsung Life Public Welfare Foundation
Daegu Gyeongbuk Institute of Science and Technology
Original Assignee
Samsung Life Public Welfare Foundation
Daegu Gyeongbuk Institute of Science and Technology
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Publication of WO2022086052A1 publication Critical patent/WO2022086052A1/en
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    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61C—DENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C7/00—Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
    • A61C7/002—Orthodontic computer assisted systems
    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B34/00—Computer-aided surgery; Manipulators or robots specially adapted for use in surgery
    • A61B34/10—Computer-aided planning, simulation or modelling of surgical operations
    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61C—DENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C19/00—Dental auxiliary appliances
    • A61C19/04—Measuring instruments specially adapted for dentistry
    • A61C19/05—Measuring instruments specially adapted for dentistry for determining occlusion
    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61C—DENTISTRY; APPARATUS OR METHODS FOR ORAL OR DENTAL HYGIENE
    • A61C7/00—Orthodontics, i.e. obtaining or maintaining the desired position of teeth, e.g. by straightening, evening, regulating, separating, or by correcting malocclusions
    • A—HUMAN NECESSITIES
    • A61—MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B34/00—Computer-aided surgery; Manipulators or robots specially adapted for use in surgery
    • A61B34/10—Computer-aided planning, simulation or modelling of surgical operations
    • A61B2034/101—Computer-aided simulation of surgical operations
    • A61B2034/105—Modelling of the patient, e.g. for ligaments or bones

Definitions

  • the present invention relates to a dental occlusion simulation method and system for providing optimal occlusion, and more particularly, in bimaxillary surgery, to provide the amount and number of tooth preparations for optimal occlusion and optimal occlusion using a three-dimensional tooth model. It relates to a dental occlusion simulation method and system that can be
  • Orthodontic treatment more suitable for the patient's condition can be performed by establishing a specific treatment plan by simulating changes in facial expression due to overtreatment.
  • the orthodontic support software traces the anatomical structures required for analysis from images of hard tissues such as X-ray images. ) to support the function of aligning the tracing line generated by the soft tissue to the photographed image. Based on the image in which the tracing lines are aligned in this way, the appearance after orthodontic treatment is predicted or various intraoral surgery simulations are performed.
  • Patent Document 1 (KR101769334) is disclosed as a prior art for solving this problem.
  • the present invention is to solve the above problems, and by using the anatomical features of teeth in a three-dimensional dental model and providing an optimal occlusion that does not cause premature contact, the accuracy of occlusion and application to actual surgery can be improved.
  • An object of the present invention is to provide a method and system for simulating tooth occlusion setting.
  • a dental occlusion simulation method is provided.
  • the dental occlusion simulation method includes an input step of receiving a three-dimensional model of teeth and gums of the upper and lower jaws, the gap between teeth in the three-dimensional model (Embrasure), cusp or Fossa
  • the feature point detection step is to extract a plurality of convex points present in the teeth from a three-dimensional model, and express the points in the form of a quaternary polynomial to detect the shape of the dental arch.
  • Dental arch shape detection step local minima extraction step of extracting multiple local minima by detecting the width and height of each tooth from the three-dimensional model, and applying a Fourier transform and filter to the sum of the width and height, three-dimensional Applied to the model, tooth area separation step of separating teeth based on a plurality of baselines passing a plurality of local minima It may further include the step of detecting the gap between the teeth to define.
  • the feature point detection step is a molar region division step of dividing the molar into four regions using a Cartesian coordinate system with the center of the molar as the origin in the three-dimensional model.
  • Molar occlusal surface detection step of extracting a plurality of cusp candidate points with high height and designing a plane in which the plurality of cusp candidate points are all on top.
  • the method may further include a cusp detection step of detecting a point as a cusp, and an orbit detection step of detecting a point having a maximum linear distance from the plane to the outer surface of the molar in the gum direction as the fossa.
  • the tooth occlusion simulation method may be characterized in that in the initial alignment step of the upper and lower jaws, the feature point pair is selected based on the molar relationship and the canine position in the normal occlusion state of the maxilla and the mandible.
  • the tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the distance between the pair of feature points is minimized through the point registration method.
  • the normal range corresponds to -1.5 to 1.5
  • the center line corresponds to -1.5 to 1.5
  • the horizontal overlay corresponds to 2.0 to 4.0
  • the vertical overlay corresponds to -1.0 to -3.0 It may be characterized as corresponding to between.
  • the tooth occlusion simulation method includes an early contact determination step of determining whether or not there is an early contact in the optimal occlusion, and if there is an early contact, delete the area in which the early contact occurs in the optimal occlusion and re-optimize the occlusion. It may further include an early contact deletion step to obtain .
  • the early contact deletion step includes a tooth preparation step determining step of determining a tooth to be deleted according to the order of contact of the teeth, extracting point coordinates from a point where early contact occurs, and It may further include a planar design step of designing a plane passing through the tooth with a minimum vertical distance, and an orthographic projection step of orthographically projecting the point coordinates onto the plane in the three-dimensional model.
  • a computer-readable recording medium in which a program for implementing the above-described method is recorded may be provided.
  • a dental occlusion simulation system is provided.
  • the dental occlusion simulation system receives a three-dimensional model of teeth and gums of the maxilla and mandible as input, and a feature point for detecting an Embrasure, Cusp, or Fossa as a feature point.
  • the detection unit determines the pair of key points by matching the key points in the upper jaw to the key points in the mandible, and the upper and lower initial alignment unit that initially aligns the maxilla and the mandible so that the distance between the pair of key points is minimized, the center line indicating the relationship between the maxilla and the mandible;
  • the optimal occlusion acquisition unit that obtains the optimal occlusion by adjusting the position of the maxilla so that the vertical and horizontal overlays are within the normal range and the contact area between the maxilla and the mandible is maximized, and whether there is an early contact in the optimal occlusion If there is early contact, an early contact deletion unit may be included to delete the area where the early contact occurred in the optimal occlusion and to obtain the optimal occlusion again.
  • FIG. 1 is a block diagram of a dental occlusion simulation system according to an embodiment of the present invention.
  • FIG. 2 is a flowchart of a dental occlusion simulation method according to an embodiment of the present invention.
  • FIG. 3 is a flowchart of a feature point detection step of a tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 4 is a view for explaining a dental arch shape detection step of the dental occlusion simulation method according to an embodiment of the present invention.
  • FIG. 5 is a view for explaining the step of extracting the local minimum value of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 6 is a view for explaining the step of extracting the local minimum value of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 7 is a view for explaining a tooth region separation step of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 8 is a view for explaining the step of detecting a gap between teeth of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 9 is a flowchart of a feature point detection step of a tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 10 is a view for explaining the molar region division step, the occlusal surface detection step, and the cusp detection step of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 11 is a view for explaining the and detection step of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 12 is a view for explaining a molar relationship and a canine position in a dental occlusion simulation method according to an embodiment of the present invention.
  • FIG. 13 is a view for explaining a pair of feature points in a tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 14 is a view for explaining a point registration method of a tooth occlusion simulation method according to an embodiment of the present invention.
  • 15 is a view for explaining a center line, a horizontal covering, and a vertical covering of the tooth occlusion simulation method according to an embodiment of the present invention.
  • 16 is a flowchart of an early contact determination step and an early contact deletion step of the tooth occlusion simulation method according to an embodiment of the present invention.
  • 17 is a view for explaining an early contact in the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 18 is a view for explaining the step of determining the preparation tooth of the tooth occlusion simulation method according to an embodiment of the present invention.
  • 19 is a view for explaining the orthographic projection step of the tooth occlusion simulation method according to an embodiment of the present invention.
  • 20 is a view for explaining the optimal occlusion provided by the dental occlusion simulation method and system according to an embodiment of the present invention.
  • a dental occlusion simulation method is provided.
  • the dental occlusion simulation method includes an input step of receiving a three-dimensional model of teeth and gums of the upper and lower jaws, the gap between teeth in the three-dimensional model (Embrasure), cusp or Fossa
  • the feature point detection step is to extract a plurality of convex points present in the teeth from a three-dimensional model, and express the points in the form of a quaternary polynomial to detect the shape of the dental arch.
  • Dental arch shape detection step local minima extraction step of extracting multiple local minima by detecting the width and height of each tooth from the three-dimensional model, and applying a Fourier transform and filter to the sum of the width and height, three-dimensional Applied to the model, tooth area separation step of separating teeth based on a plurality of baselines passing a plurality of local minima It may further include the step of detecting the gap between the teeth to define.
  • the feature point detection step is a molar region division step of dividing the molar into four regions using a Cartesian coordinate system with the center of the molar as the origin in the three-dimensional model.
  • Molar occlusal surface detection step of extracting a plurality of cusp candidate points with high height and designing a plane in which the plurality of cusp candidate points are all on top.
  • the method may further include a cusp detection step of detecting a point as a cusp, and an orbit detection step of detecting a point having a maximum linear distance from the plane to the outer surface of the molar in the gum direction as the fossa.
  • the tooth occlusion simulation method may be characterized in that in the initial alignment step of the upper and lower jaws, the feature point pair is selected based on the molar relationship and the canine position in the normal occlusion state of the maxilla and the mandible.
  • the tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the distance between the pair of feature points is minimized through the point registration method.
  • the normal range corresponds to -1.5 to 1.5
  • the center line corresponds to -1.5 to 1.5
  • the horizontal overlay corresponds to 2.0 to 4.0
  • the vertical overlay corresponds to -1.0 to -3.0 It may be characterized as corresponding to between.
  • the tooth occlusion simulation method includes an early contact determination step of determining whether or not there is an early contact in the optimal occlusion, and if there is an early contact, delete the area in which the early contact occurs in the optimal occlusion and re-optimize the occlusion. It may further include an early contact deletion step to obtain .
  • the early contact deletion step includes a tooth preparation step determining step of determining a tooth to be deleted according to the order of contact of the teeth, extracting point coordinates from a point where early contact occurs, and It may further include a planar design step of designing a plane passing through the tooth with a minimum vertical distance, and an orthographic projection step of orthographically projecting the point coordinates onto the plane in the three-dimensional model.
  • a computer-readable recording medium in which a program for implementing the above-described method is recorded may be provided.
  • a dental occlusion simulation system is provided.
  • the dental occlusion simulation system receives a three-dimensional model of teeth and gums of the maxilla and mandible as input, and a feature point for detecting an Embrasure, Cusp, or Fossa as a feature point.
  • the detection unit determines the pair of key points by matching the key points in the upper jaw to the key points in the mandible, and the upper and lower initial alignment unit that initially aligns the maxilla and the mandible so that the distance between the pair of key points is minimized, the center line indicating the relationship between the maxilla and the mandible;
  • the optimal occlusion acquisition unit that obtains the optimal occlusion by adjusting the position of the maxilla so that the vertical and horizontal overlays are within the normal range and the contact area between the maxilla and the mandible is maximized, and whether there is an early contact in the optimal occlusion If there is early contact, an early contact deletion unit may be included to delete the area where the early contact occurred in the optimal occlusion and to obtain the optimal occlusion again.
  • FIG. 1 is a block diagram of a dental occlusion simulation system according to an embodiment of the present invention.
  • the dental occlusion simulation system receives 3D models of upper and lower teeth and gums, and includes an Embrasure, Cusp or Fossa.
  • the feature point detection unit 100 for detecting determines a feature point pair by matching the feature point on the upper jaw with the feature point on the mandible, and an initial upper and lower jaw initial aligning unit ( 200), the optimal occlusion obtaining unit ( 300), it may include an early contact deletion unit 400 that determines whether or not there is early contact in the optimal occlusion, and if there is early contact, deletes the area where the early contact occurs in the optimal occlusion and again obtains the optimal occlusion.
  • the 3D model may be composed of a 3D modeling file obtained from an intraoral scanner or a dental plaster model, and represents the shape of teeth and gums present in the maxilla and mandible.
  • the control unit 500 may control the feature point detection unit 100 , the upper and lower jaw initial alignment unit 200 , the optimal occlusion obtaining unit 300 , and the early contact deletion unit 400 .
  • the 3D model may be received and transmitted to the feature point detector 100 , or the feature points detected by the feature point detector 100 may be transmitted to the upper and lower jaw initial alignment unit 200 or early contact deletion unit 400 .
  • FIG. 2 is a flowchart of a dental occlusion simulation method according to an embodiment of the present invention.
  • the tooth occlusion simulation method includes an input step (S100) of receiving a three-dimensional model of upper and lower teeth and gums, a gap between teeth in the three-dimensional model (Embrasure), A feature point detection step (S200) of detecting a cusp or a fossa as a feature point, a feature point pair is determined by matching a feature point in the upper jaw to a feature point in the mandible, and the distance between the feature point pairs is minimized to minimize the maxillary and
  • the upper and lower jaw initial alignment step (S300) of initial alignment of the mandible, the center line indicating the relationship between the mandible and the mandible, the vertical and horizontal overlays are within the normal range, and the position of the maxilla is adjusted so that the contact area between the maxilla and the mandible is maximized. to obtain an optimal occlusion step (S400) of obtaining the optimal occlusion may be included.
  • the 3D model is received through the control unit 500 .
  • the 3D model is a 3D modeling file obtained from an intraoral scanner or a dental plaster model, and the maxilla and the mandible may be separated.
  • FIG. 3 is a flowchart of the feature point detection step (S200) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the feature point detection step ( S200 ) in the tooth occlusion simulation method extracts a plurality of convex points present in the teeth from the three-dimensional model, and sets the points in the form of a quaternary polynomial.
  • the method may further include a gap detection step (S214) of detecting a point on the uppermost gum in the tooth direction and defining it as a gap between the teeth (S214).
  • FIG. 4 is a view for explaining the dental arch shape detection step (S211) of the dental occlusion simulation method according to an embodiment of the present invention.
  • convex points are extracted from the 3D dental model and the shape of the dental arch is detected using a fourth-order polynomial.
  • Figure 4 (a) shows the convex points extracted from the three-dimensional tooth model
  • Figure 4 (b) shows the representation of the convex points in a four-dimensional equation.
  • the dental arch is a curve drawn by the teeth, precisely the curve that passes through the insulation of the incisors, the peak of the canine teeth, and the peak of the buccal cusp of the molars.
  • the shape of the dental arch can be detected by extracting convex points from the three-dimensional tooth model and expressing them as a fourth-order polynomial.
  • a quadratic polynomial, a beta function, a cubic spline, etc. can all be applied as a method for detecting the shape of the dental arch, but expressing it as a quadratic equation would be the most reasonable method for analyzing the shape of the dental arch.
  • 5 and 6 are diagrams for explaining the local minima extraction step (S212) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • a method of detecting the width and height of a tooth in a 3D model can be seen.
  • the width and height of the teeth can be detected while moving from the left end to the right end of the 3D model of the maxilla or mandible.
  • Fig. 6 (a) shows a graph of the width of the tooth detected through the above method
  • Fig. 6 (b) shows a graph of the height of the tooth detected through the above method.
  • the local minimum may mean between the teeth and the teeth may be separated based on the local minimum.
  • the local minimum may be formed in a number that is one less than the number of teeth.
  • FIG. 7 is a view for explaining the tooth region separation step (S213) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the tooth region is separated in the 3D model based on the reference line passing through the local minimum.
  • FIG 8 is a view for explaining the interdental gap detection step (S214) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the gap between teeth detected through the tooth occlusion simulation method according to an embodiment of the present invention is shown.
  • the gap between teeth means a space created by the contour and position of adjacent teeth.
  • a point on the uppermost gum in the tooth direction in a plane extending a reference line through a 3D model vertically is defined as a gap between teeth.
  • FIG. 9 is a flowchart of the feature point detection step (S200) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the feature point detection step S200 in the tooth occlusion simulation method divides the molars into four regions using a Cartesian coordinate system with the center of the molars as the origin in the three-dimensional model.
  • the cusp detection step (S223) of detecting the point where the straight-line distance from the plane to the outer surface of the molar is the maximum as the cusp, and the point where the straight-line distance from the plane to the outer surface of the molar in the direction of the gum is the maximum the cochlea is detected and may further include a detection step (S224).
  • FIG. 10 is a view for explaining the molar region division step (S221), the occlusal surface detection step (S222) and the cusp detection step (S223) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the molar region is divided according to an embodiment of the present invention.
  • the molars may be divided into four regions based on an orthogonal coordinate system having the central point of the molar as the origin.
  • the four regions may be divided into anatomical regions of the molars.
  • the anatomical region of the molars consists of the distobuccal, mesiobuccaal, mesiolingula, and distolingual.
  • the cusps detected according to an embodiment of the present invention can be seen.
  • green dots indicate candidate cusps
  • blue lines indicate planes used to detect cusps.
  • the cusps are indicated by red dots, and a total of 5 cusps were detected.
  • the occlusal surface refers to the surface of the molars that collide with when chewing food. At this time, the cusp and coccyx exist on the occlusal surface. Cusp is a convex point on the occlusal surface, and Fossa is defined as a concave point. The average number of cusps in a molar is between 4 and 6 cusps. The plane closest to the occlusal surface is defined as the occlusal plane.
  • the portions with a higher tooth height than the surrounding areas are extracted and defined as cusp candidate points, and a plane is designed in which all cusp candidate points are on top.
  • the plane at this time corresponds to the occlusal plane.
  • the cusp can be detected by extracting the point with the maximum linear distance from the plane to the outer surface of the molar in the direction opposite the gum from among the points included in the candidate cusp point.
  • FIG. 11 is a view for explaining the and detection step (S224) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • a wah is detected according to an embodiment of the present invention.
  • a blue rectangle indicates a redesigned plane based on the cusp
  • a red dot indicates a cusp detected according to an embodiment of the present invention
  • a black dot indicates a wa.
  • the most concave point on the occlusal surface corresponds to the cav, it can be detected by extracting the point with the largest linear distance in the direction of the gum from the occlusal plane, which is the plane used to detect the cusp.
  • the plane may be used to detect the fossa after redesigning the plane closest to the detected cusps.
  • FIG. 12 is a view for explaining a molar relationship and a canine position in a dental occlusion simulation method according to an embodiment of the present invention.
  • a pair of feature points is selected based on the molar relationship and canine position in the normal occlusion state of the maxilla and mandible. It can be characterized as being.
  • the molar relationship refers to the relationship between the cusps or cusps and cusps of the lower molars and between the cusps and cusps of the maxilla or between the cusps.
  • the pair of feature points may be selected such that the cusp of the mandible and the cusp of the mandible engage the cusp of the maxilla.
  • Canine means a tooth located between the incisors and molars, next to the incisors, and in the present invention, the canine position means between which teeth the canine existing in the upper jaw should exist in the mandible.
  • the pair of characteristic points of the maxilla and the mandible may be selected in consideration of the position of the canine so that the canine is located between the first premolar and the canine of the mandible.
  • FIG. 13 is a view for explaining a pair of feature points in a tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 13 a total of 15 pairs of feature points were determined.
  • the figure on the left shows the mandible and the figure on the right shows the maxilla.
  • No. 1 and No. 2 on the left correspond to the cusp
  • No. 1 and No. 2 on the right form a feature point pair.
  • number 1 on the right corresponds to the cavity
  • number 2 corresponds to the gap between the teeth. That is, as for the cusp, the pair of key points is not determined between the cusps and between the cusps, but the pair of key points is determined in consideration of the molar relationship and the position of the canine teeth.
  • FIG. 14 is a view for explaining a point registration method of a tooth occlusion simulation method according to an embodiment of the present invention.
  • the distance between the pair of feature points is minimized through paired point registration. there is.
  • the point matching method is to mark the feature points on the 3D model, determine the feature point pair by matching the feature points of the maxilla and the mandible, extract the distance between each feature point pair, and align the upper and lower jaw so that the distance between the feature point pairs is minimized. do.
  • 15 is a view for explaining a center line, a horizontal covering, and a vertical covering of the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 15 the meaning of the center line, horizontal covering and vertical covering can be seen.
  • Fig. 15 (a) shows a center line
  • Fig. 15 (b) shows a horizontal covering
  • Fig. 15 (c) shows a vertical covering, respectively.
  • the center line refers to the line between the incisors, and the degree of inclination (unit [mm]) of the center line can be a criterion for determining tooth occlusion.
  • Overjet refers to the distance formed horizontally between the tip of the maxillary tooth and the tip of the mandibular tooth.
  • the unit of horizontal covering is [mm], and normal horizontal covering corresponds to 2-3 mm.
  • Overbite refers to the extent to which the maxillary teeth cover the mandibular teeth.
  • the vertical cover is mainly expressed as a percentage, and the normal vertical cover is about 10-20%.
  • the normal range corresponds to -1.5 to 1.5 for the center line, 2.0 to 4.0 for horizontal overcover, and -1.0 to -3.0 for vertical overcover. It may be characterized as corresponding to between.
  • the normal range may be set differently for each patient's characteristics or condition, and may be modified if necessary according to the judgment of the medical staff.
  • FIG. 16 is a flowchart of an early contact determination step (S510) and an early contact deletion step (S520) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the method may further include an early contact deletion step (S520) of deleting the generated region and obtaining an optimal occlusion again.
  • the early contact deletion step (S520) includes the tooth to be deleted determining step (S521) for determining the tooth to be deleted according to the order of contact of the teeth, and point coordinates at the point where the early contact occurs It may further include a planar design step (S522) of extracting the point coordinates and designing a plane passing through the teeth with a minimum vertical distance from the point coordinates, and orthographic projection step (S523) of orthographically projecting the point coordinates onto the plane in the three-dimensional model.
  • 17 is a view for explaining an early contact in the tooth occlusion simulation method according to an embodiment of the present invention.
  • FIG. 17 it can be known about early contact.
  • a portion (A) marked with a red circle indicates early contact.
  • Early contact means contact before 90% of maxilla and mandible are engaged.
  • FIG. 18 is a view for explaining the step of determining the preparation tooth (S521) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • the order in which the contact occurs can be seen.
  • the contact occurs in the order from red to blue.
  • red points are points at which contact occurs first, and correspond to early contact.
  • the tooth to be deleted is determined according to the contact sequence. For example, it may be determined to delete a tooth including the contact point from the earliest to the 10th contact.
  • 19 is a view for explaining the orthographic projection step (S523) of the tooth occlusion simulation method according to an embodiment of the present invention.
  • X denotes a three-dimensional model after orthographic projection
  • Y denotes a three-dimensional model before orthographic projection
  • the point where the early contact occurred is extracted as point coordinates, the vertical distance from the point coordinates is the minimum, and a plane passing through the teeth can be designed. Coordinates can be projected orthogonally onto a plane.
  • the early contact is caused by the part between X and Y in the 3D model, the early contact can be eliminated by deleting the part between X and Y.
  • the amount of tooth removal varies depending on the height at which the plane is located, and is basically the average height of the point coordinates, and can be adjusted by the user as needed.
  • 20 is a view for explaining the optimal occlusion provided by the dental occlusion simulation method and system according to an embodiment of the present invention.
  • the optimal occlusion model is designed and provided through the dental occlusion simulation method and system according to the present invention.

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Abstract

The present invention relates to a dental interlocking simulation method and system, and comprises: an input step for receiving an input of a 3-dimensional model of teeth and gums of an upper jaw and a lower jaw; a feature point detection step for detecting, from the 3-dimensional model, an embrasure between teeth, a cusp or a fossa, as a feature point; an upper and lower jaws initial alignment step for determining a pair of feature points by matching a feature point of the upper jaw with a feature point of a lower jaw, and initially aligning the upper jaw and the lower jaw so that the distance between the pair of feature points is minimized; and an optimal occlusion acquisition step for acquiring optimal occlusion by adjusting the position of the upper jaw so that a central line, a vertical overlap, and a horizontal overlap, which indicate a relationship between the upper jaw and the lower jaw, correspond to a normal range, and a contact area between the upper jaw and the lower jaw is maximized. Also, according to the present invention, effective optimal occlusion suitable for a patent can be provided with respect to teeth-related surgery.

Description

치아교합시뮬레이션 방법 및 시스템Dental occlusion simulation method and system

본 발명은 최적교합을 제공하기 위한 치아교합시뮬레이션 방법 및 시스템에 관한 것으로, 더욱 상세하게는 양악 수술에 있어서, 3차원 치아모델을 이용하여 최적교합 및 최적교합을 위한 치아 삭제 양 및 개수를 제공할 수 있는 치아교합 시뮬레이션 방법 및 시스템에 관한 것이다.The present invention relates to a dental occlusion simulation method and system for providing optimal occlusion, and more particularly, in bimaxillary surgery, to provide the amount and number of tooth preparations for optimal occlusion and optimal occlusion using a three-dimensional tooth model. It relates to a dental occlusion simulation method and system that can be

종래에는 치아 교정시 의사가 육안으로 부정교합 정도를 판단하고, 이에 따라 교정 치료계획을 수립하였으나, 최근에는 교정 지원 소프트웨어를 통해 환자의 구강 구조와 골격, 치열 상태 등을 파악하고, 환자의 일반적인 성장과 치료에 의한 안모의 변화를 시뮬레이션하여 구체적인 치료계획을 수립함으로써 환자 상태에 더욱 적합한 교정치료를 수행할 수 있다.In the past, a doctor visually determines the degree of malocclusion during orthodontic treatment and establishes an orthodontic treatment plan accordingly. Orthodontic treatment more suitable for the patient's condition can be performed by establishing a specific treatment plan by simulating changes in facial expression due to overtreatment.

치아 교정은 치아, 턱 등 경조직의 위치 변화에 따른 안면 피부의 연조직 변화도 함께 고려해야 하기 때문에, 교정 지원 소프트웨어는 X-ray 이미지와 같이 경조직이 촬영된 이미지에서 분석에 필요한 해부학적 구조물을 트레이싱(tracing)하여 생성된 트레이싱 라인을 연조직이 촬영된 이미지에 정렬하는 기능을 지원한다. 이와 같이 트레이싱 라인이 정렬된 이미지를 기초로 교정치료 후 모습을 예측하거나 다양한 구강 내 수술에 대한 시뮬레이션이 수행된다.Because orthodontic treatment must also consider changes in the soft tissues of the facial skin due to changes in the position of hard tissues such as teeth and jaws, the orthodontic support software traces the anatomical structures required for analysis from images of hard tissues such as X-ray images. ) to support the function of aligning the tracing line generated by the soft tissue to the photographed image. Based on the image in which the tracing lines are aligned in this way, the appearance after orthodontic treatment is predicted or various intraoral surgery simulations are performed.

그러나, 종래기술에 따르면 트레이싱 라인을 디지털 사진에 정렬하기 위한 작업이 수동으로 이루어져 매우 번거롭고, 시간이 많이 소모되는 문제점이 있다. 또한, 트레이싱 라인은 랜드마크들을 연결하여 생성되는 것으로, 몇 개의 점을 기반으로 곡선이 정의되기 때문에 실제 조직의 윤곽라인과 곡률적인 측면에서 오차가 존재하는데, 위 오차와 두 이미지의 크기, 틸팅에 따른 기울기 차이가 복합적으로 작용하여 수동으로 정렬 처리할 때 그 정확도가 더욱 떨어진다는 문제점이 있다.However, according to the prior art, there is a problem in that the operation for aligning the tracing line to the digital photo is manually performed, which is very cumbersome and time-consuming. In addition, the tracing line is created by connecting landmarks, and since the curve is defined based on a few points, there is an error in the contour line and curvature of the actual tissue. There is a problem in that the accuracy of the alignment process is lowered when manually aligning due to the complex action of the gradient difference.

이를 해결하기 위한 선행기술로서 특허문헌1(KR101769334)이 개시되어 있다.Patent Document 1 (KR101769334) is disclosed as a prior art for solving this problem.

그러나, 여전히 상악과 하악의 최종교합을 설정할 때 의사의 경험에 의존하는 점 및 치아를 삭제하는 방법에 대하여 시뮬레이션 하는 기술이 개시되어 있지 않은 점에 따라, 실제 수술에서의 적용이 높지 않다는 문제점이 있다. 이에 최종 교합의 정확성 및 실제 수술상황에서의 적용을 향상시키기 위해 개별 치아의 특징들을 고려하여 교합을 시뮬레이션 하는 기술의 개발이 요구되고 있다.However, there is still a problem in that the application in actual surgery is not high due to the fact that it depends on the experience of the doctor when setting the final occlusion of the maxilla and the mandible and the technique for simulating the method of removing the teeth is not disclosed. . Accordingly, in order to improve the accuracy of the final occlusion and its application in actual surgical situations, it is required to develop a technology for simulating occlusion by considering the characteristics of individual teeth.

본 발명은 전술한 문제점을 해결하기 위한 것으로서, 3차원 치아모델에서 치아의 해부학적 특징을 이용하고, 조기접촉이 발생하지 않는 최적교합을 제공함으로써, 교합의 정확성 및 실제 수술에 적용을 향상시킬 수 있는 치아교합설정시뮬레이션 방법 및 시스템을 제공하는 것을 목적으로 한다.The present invention is to solve the above problems, and by using the anatomical features of teeth in a three-dimensional dental model and providing an optimal occlusion that does not cause premature contact, the accuracy of occlusion and application to actual surgery can be improved. An object of the present invention is to provide a method and system for simulating tooth occlusion setting.

본 발명의 일 실시 예로써, 치아교합 시뮬레이션 방법이 제공된다.As an embodiment of the present invention, a dental occlusion simulation method is provided.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받는 입력단계, 3차원 모델에서 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출단계, 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍간의 거리가 최소가 되도록 하여 상악 및 하악을 초기 정렬하는 상하악 초기 정렬단계, 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 하악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득단계를 포함할 수 있다.The dental occlusion simulation method according to an embodiment of the present invention includes an input step of receiving a three-dimensional model of teeth and gums of the upper and lower jaws, the gap between teeth in the three-dimensional model (Embrasure), cusp or Fossa The feature point detection step of detecting and obtaining an optimal occlusion step of obtaining an optimal occlusion by adjusting the position of the mandible so that the center line, vertical and horizontal overlays indicating the relationship between the mandibles fall within the normal range, and the contact area between the maxilla and the mandible is maximized. .

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계는, 3차원 모델에서 치아에 존재하는 복수의 볼록한 점들을 추출하고, 점들을 4차 다항식의 형태로 표현하여 치열궁의 형태를 검출하는 치열궁 형태 검출단계, 3차원 모델에서 치아의 넓이와 높이를 각각 검출하고, 넓이와 높이를 더한 값에 푸리에 변환 및 필터를 적용하여 복수의 극솟값을 추출하는 극솟값 추출 단계, 복수의 극솟값을 3차원 모델에 적용하고, 복수의 극솟값을 지나는 복수의 기준선을 기준으로 치아를 분리하는 치아 영역 분리단계, 기준선을 지나고, 3차원 모델에서 치아방향으로 가장 위에 있는 잇몸 위의 지점을 검출하여 치아사이 틈으로 정의하는 치아사이 틈 검출단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the feature point detection step is to extract a plurality of convex points present in the teeth from a three-dimensional model, and express the points in the form of a quaternary polynomial to detect the shape of the dental arch. Dental arch shape detection step, local minima extraction step of extracting multiple local minima by detecting the width and height of each tooth from the three-dimensional model, and applying a Fourier transform and filter to the sum of the width and height, three-dimensional Applied to the model, tooth area separation step of separating teeth based on a plurality of baselines passing a plurality of local minima It may further include the step of detecting the gap between the teeth to define.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계는, 3차원 모델에서 어금니의 중심을 원점으로 하는 직교 좌표계를 이용하여 어금니를 4개의 영역으로 나누는 어금니 영역 분할단계, 영역에서 주변보다 높이가 높은 복수의 교두 후보점들을 추출하고, 복수의 교두 후보점들이 모두 위에 존재하는 평면을 설계하는 어금니 교합표면 검출단계, 교두 후보점 내에서, 평면에서 어금니의 외부 표면까지의 직선거리가 최대인 점을 교두로 검출하는 교두 검출단계, 및 평면에서 잇몸 방향으로 어금니의 외부 표면까지의 직선거리가 최대인 점을 와로 검출하는 와 검출단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the feature point detection step is a molar region division step of dividing the molar into four regions using a Cartesian coordinate system with the center of the molar as the origin in the three-dimensional model. Molar occlusal surface detection step of extracting a plurality of cusp candidate points with high height and designing a plane in which the plurality of cusp candidate points are all on top. The method may further include a cusp detection step of detecting a point as a cusp, and an orbit detection step of detecting a point having a maximum linear distance from the plane to the outer surface of the molar in the gum direction as the fossa.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계에서, 특징점 쌍은 상악 및 하악의 정상교합 상태에서의 어금니 관계와 송곳니 위치를 기준으로 선택되는 것을 특징으로 할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the feature point pair is selected based on the molar relationship and the canine position in the normal occlusion state of the maxilla and the mandible.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계에서, 특징점 쌍간의 거리는 점정합 방법을 통해 최소화되는 것을 특징으로 할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the distance between the pair of feature points is minimized through the point registration method.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 최적교합 획득단계에서, 정상범위는 중심선이 -1.5 내지 1.5에 해당하고, 수평피개가 2.0 내지 4.0에 해당하고, 수직피개가 -1.0 내지 -3.0 사이에 해당하는 것을 특징으로 할 수 있다.In the dental occlusion simulation method according to an embodiment of the present invention, in the optimal occlusion acquisition step, the normal range corresponds to -1.5 to 1.5, the center line corresponds to -1.5 to 1.5, the horizontal overlay corresponds to 2.0 to 4.0, and the vertical overlay corresponds to -1.0 to -3.0 It may be characterized as corresponding to between.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 최적교합에 조기접촉이 있는지 여부를 판단하는 조기접촉 판단단계, 조기접촉이 있는 경우, 최적교합에서 조기접촉이 발생한 영역을 삭제하고, 다시 최적교합을 구하는 조기접촉 삭제단계를 더 포함할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention includes an early contact determination step of determining whether or not there is an early contact in the optimal occlusion, and if there is an early contact, delete the area in which the early contact occurs in the optimal occlusion and re-optimize the occlusion. It may further include an early contact deletion step to obtain .

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 조기접촉 삭제단계는, 치아의 접촉 순서에 따라 삭제할 치아를 결정하는 삭제치아 결정단계, 조기접촉이 발생한 지점을 점좌표를 추출하고, 점좌표와의 수직거리가 최소이고 치아를 지나는 평면을 설계하는 평면설계단계, 3차원 모델에서 점좌표를 평면 위로 정사영시키는 정사영 단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the early contact deletion step includes a tooth preparation step determining step of determining a tooth to be deleted according to the order of contact of the teeth, extracting point coordinates from a point where early contact occurs, and It may further include a planar design step of designing a plane passing through the tooth with a minimum vertical distance, and an orthographic projection step of orthographically projecting the point coordinates onto the plane in the three-dimensional model.

본 발명의 일 실시 예로써, 전술한 방법을 구현하기 위한 프로그램이 기록된 컴퓨터로 읽을 수 있는 기록매체가 제공될 수 있다.As an embodiment of the present invention, a computer-readable recording medium in which a program for implementing the above-described method is recorded may be provided.

본 발명의 일 실시 예로써, 치아교합 시뮬레이션 시스템이 제공된다.As an embodiment of the present invention, a dental occlusion simulation system is provided.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템은 상악 및 하악의 치아와 잇몸의3차원 모델을 입력 받고, 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출부, 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍 간의 거리가 최소가 되도록 상악 및 하악을 초기 정렬하는 상하악 초기 정렬부, 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득부, 최적교합에 조기접촉이 있는지 여부를 판단하고, 조기접촉이 있는 경우 최적교합에서 조기접촉이 발생한 영역을 삭제하고 다시 최적교합을 구하는 조기접촉 삭제부를 포함할 수 있다.The dental occlusion simulation system according to an embodiment of the present invention receives a three-dimensional model of teeth and gums of the maxilla and mandible as input, and a feature point for detecting an Embrasure, Cusp, or Fossa as a feature point. The detection unit determines the pair of key points by matching the key points in the upper jaw to the key points in the mandible, and the upper and lower initial alignment unit that initially aligns the maxilla and the mandible so that the distance between the pair of key points is minimized, the center line indicating the relationship between the maxilla and the mandible; The optimal occlusion acquisition unit that obtains the optimal occlusion by adjusting the position of the maxilla so that the vertical and horizontal overlays are within the normal range and the contact area between the maxilla and the mandible is maximized, and whether there is an early contact in the optimal occlusion If there is early contact, an early contact deletion unit may be included to delete the area where the early contact occurred in the optimal occlusion and to obtain the optimal occlusion again.

본 발명에 따르면 치아관련 수술에 있어서, 환자에게 맞는 효과적인 최적교합을 제공할 수 있다.According to the present invention, it is possible to provide an effective optimal occlusion suitable for a patient in dental surgery.

또한, 본 발명에 따르면, 3차원 치아 모델을 이용하여 최적교합을 획득할 수 있어 치아모형 획득 시에 발생하는 불편함을 제거하고, 구강암 수술환자 또는 중환자실 환자와 같은 개구 제한 환자의 경우에의 적용이 가능하다.In addition, according to the present invention, it is possible to obtain an optimal occlusion using a three-dimensional tooth model, thereby eliminating the inconvenience that occurs when acquiring a dental model, and for patients with limited opening such as oral cancer surgery patients or intensive care unit patients. applicable.

도 1은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템의 블록도이다.1 is a block diagram of a dental occlusion simulation system according to an embodiment of the present invention.

도 2는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 순서도이다.2 is a flowchart of a dental occlusion simulation method according to an embodiment of the present invention.

도 3은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 검출단계의 순서도이다.3 is a flowchart of a feature point detection step of a tooth occlusion simulation method according to an embodiment of the present invention.

도 4는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치열궁 형태 검출단계를 설명하기 위한 도면이다.4 is a view for explaining a dental arch shape detection step of the dental occlusion simulation method according to an embodiment of the present invention.

도 5는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 극솟값 추출 단계를 설명하기 위한 도면이다.5 is a view for explaining the step of extracting the local minimum value of the tooth occlusion simulation method according to an embodiment of the present invention.

도 6은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 극솟값 추출 단계를 설명하기 위한 도면이다.6 is a view for explaining the step of extracting the local minimum value of the tooth occlusion simulation method according to an embodiment of the present invention.

도 7은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치아 영역 분리단계를 설명하기 위한 도면이다.7 is a view for explaining a tooth region separation step of the tooth occlusion simulation method according to an embodiment of the present invention.

도 8은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치아사이 틈 검출단계를 설명하기 위한 도면이다.8 is a view for explaining the step of detecting a gap between teeth of the tooth occlusion simulation method according to an embodiment of the present invention.

도 9는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 검출단계의 순서도이다.9 is a flowchart of a feature point detection step of a tooth occlusion simulation method according to an embodiment of the present invention.

도 10은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 어금니 영역 분할단계, 교합표면 검출단계 및 교두 검출단계를 설명하기 위한 도면이다.10 is a view for explaining the molar region division step, the occlusal surface detection step, and the cusp detection step of the tooth occlusion simulation method according to an embodiment of the present invention.

도 11은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 와 검출단계를 설명하기 위한 도면이다.11 is a view for explaining the and detection step of the tooth occlusion simulation method according to an embodiment of the present invention.

도 12는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 어금니 관계와 송곳니 위치를 설명하기 위한 도면이다.12 is a view for explaining a molar relationship and a canine position in a dental occlusion simulation method according to an embodiment of the present invention.

도 13은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 쌍을 설명하기 위한 도면이다.13 is a view for explaining a pair of feature points in a tooth occlusion simulation method according to an embodiment of the present invention.

도 14는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 점정합 방법을 설명하기 위한 도면이다.14 is a view for explaining a point registration method of a tooth occlusion simulation method according to an embodiment of the present invention.

도 15는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 중심선, 수평피개 및 수직피개를 설명하기 위한 도면이다.15 is a view for explaining a center line, a horizontal covering, and a vertical covering of the tooth occlusion simulation method according to an embodiment of the present invention.

도 16은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 조기접촉 판단단계 및 조기접촉 삭제단계의 순서도이다.16 is a flowchart of an early contact determination step and an early contact deletion step of the tooth occlusion simulation method according to an embodiment of the present invention.

도 17은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 조기접촉을 설명하기 위한 도면이다.17 is a view for explaining an early contact in the tooth occlusion simulation method according to an embodiment of the present invention.

도 18은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 삭제치아 결정단계를 설명하기 위한 도면이다.18 is a view for explaining the step of determining the preparation tooth of the tooth occlusion simulation method according to an embodiment of the present invention.

도 19는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 정사영 단계를 설명하기 위한 도면이다.19 is a view for explaining the orthographic projection step of the tooth occlusion simulation method according to an embodiment of the present invention.

도 20은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법 및 시스템에 의해 제공되는 최적교합을 설명하기 위한 도면이다.20 is a view for explaining the optimal occlusion provided by the dental occlusion simulation method and system according to an embodiment of the present invention.

본 발명의 일 실시 예로써, 치아교합 시뮬레이션 방법이 제공된다.As an embodiment of the present invention, a dental occlusion simulation method is provided.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받는 입력단계, 3차원 모델에서 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출단계, 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍간의 거리가 최소가 되도록 하여 상악 및 하악을 초기 정렬하는 상하악 초기 정렬단계, 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 하악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득단계를 포함할 수 있다.The dental occlusion simulation method according to an embodiment of the present invention includes an input step of receiving a three-dimensional model of teeth and gums of the upper and lower jaws, the gap between teeth in the three-dimensional model (Embrasure), cusp or Fossa The feature point detection step of detecting and obtaining an optimal occlusion step of obtaining an optimal occlusion by adjusting the position of the mandible so that the center line, vertical and horizontal overlays indicating the relationship between the mandibles fall within the normal range, and the contact area between the maxilla and the mandible is maximized. .

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계는, 3차원 모델에서 치아에 존재하는 복수의 볼록한 점들을 추출하고, 점들을 4차 다항식의 형태로 표현하여 치열궁의 형태를 검출하는 치열궁 형태 검출단계, 3차원 모델에서 치아의 넓이와 높이를 각각 검출하고, 넓이와 높이를 더한 값에 푸리에 변환 및 필터를 적용하여 복수의 극솟값을 추출하는 극솟값 추출 단계, 복수의 극솟값을 3차원 모델에 적용하고, 복수의 극솟값을 지나는 복수의 기준선을 기준으로 치아를 분리하는 치아 영역 분리단계, 기준선을 지나고, 3차원 모델에서 치아방향으로 가장 위에 있는 잇몸 위의 지점을 검출하여 치아사이 틈으로 정의하는 치아사이 틈 검출단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the feature point detection step is to extract a plurality of convex points present in the teeth from a three-dimensional model, and express the points in the form of a quaternary polynomial to detect the shape of the dental arch. Dental arch shape detection step, local minima extraction step of extracting multiple local minima by detecting the width and height of each tooth from the three-dimensional model, and applying a Fourier transform and filter to the sum of the width and height, three-dimensional Applied to the model, tooth area separation step of separating teeth based on a plurality of baselines passing a plurality of local minima It may further include the step of detecting the gap between the teeth to define.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계는, 3차원 모델에서 어금니의 중심을 원점으로 하는 직교 좌표계를 이용하여 어금니를 4개의 영역으로 나누는 어금니 영역 분할단계, 영역에서 주변보다 높이가 높은 복수의 교두 후보점들을 추출하고, 복수의 교두 후보점들이 모두 위에 존재하는 평면을 설계하는 어금니 교합표면 검출단계, 교두 후보점 내에서, 평면에서 어금니의 외부 표면까지의 직선거리가 최대인 점을 교두로 검출하는 교두 검출단계, 및 평면에서 잇몸 방향으로 어금니의 외부 표면까지의 직선거리가 최대인 점을 와로 검출하는 와 검출단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the feature point detection step is a molar region division step of dividing the molar into four regions using a Cartesian coordinate system with the center of the molar as the origin in the three-dimensional model. Molar occlusal surface detection step of extracting a plurality of cusp candidate points with high height and designing a plane in which the plurality of cusp candidate points are all on top. The method may further include a cusp detection step of detecting a point as a cusp, and an orbit detection step of detecting a point having a maximum linear distance from the plane to the outer surface of the molar in the gum direction as the fossa.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계에서, 특징점 쌍은 상악 및 하악의 정상교합 상태에서의 어금니 관계와 송곳니 위치를 기준으로 선택되는 것을 특징으로 할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the feature point pair is selected based on the molar relationship and the canine position in the normal occlusion state of the maxilla and the mandible.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계에서, 특징점 쌍간의 거리는 점정합 방법을 통해 최소화되는 것을 특징으로 할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention may be characterized in that in the initial alignment step of the upper and lower jaws, the distance between the pair of feature points is minimized through the point registration method.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 최적교합 획득단계에서, 정상범위는 중심선이 -1.5 내지 1.5에 해당하고, 수평피개가 2.0 내지 4.0에 해당하고, 수직피개가 -1.0 내지 -3.0 사이에 해당하는 것을 특징으로 할 수 있다.In the dental occlusion simulation method according to an embodiment of the present invention, in the optimal occlusion acquisition step, the normal range corresponds to -1.5 to 1.5, the center line corresponds to -1.5 to 1.5, the horizontal overlay corresponds to 2.0 to 4.0, and the vertical overlay corresponds to -1.0 to -3.0 It may be characterized as corresponding to between.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 최적교합에 조기접촉이 있는지 여부를 판단하는 조기접촉 판단단계, 조기접촉이 있는 경우, 최적교합에서 조기접촉이 발생한 영역을 삭제하고, 다시 최적교합을 구하는 조기접촉 삭제단계를 더 포함할 수 있다.The tooth occlusion simulation method according to an embodiment of the present invention includes an early contact determination step of determining whether or not there is an early contact in the optimal occlusion, and if there is an early contact, delete the area in which the early contact occurs in the optimal occlusion and re-optimize the occlusion. It may further include an early contact deletion step to obtain .

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 조기접촉 삭제단계는, 치아의 접촉 순서에 따라 삭제할 치아를 결정하는 삭제치아 결정단계, 조기접촉이 발생한 지점을 점좌표를 추출하고, 점좌표와의 수직거리가 최소이고 치아를 지나는 평면을 설계하는 평면설계단계, 3차원 모델에서 점좌표를 평면 위로 정사영시키는 정사영 단계를 더 포함할 수 있다.In the tooth occlusion simulation method according to an embodiment of the present invention, the early contact deletion step includes a tooth preparation step determining step of determining a tooth to be deleted according to the order of contact of the teeth, extracting point coordinates from a point where early contact occurs, and It may further include a planar design step of designing a plane passing through the tooth with a minimum vertical distance, and an orthographic projection step of orthographically projecting the point coordinates onto the plane in the three-dimensional model.

본 발명의 일 실시 예로써, 전술한 방법을 구현하기 위한 프로그램이 기록된 컴퓨터로 읽을 수 있는 기록매체가 제공될 수 있다.As an embodiment of the present invention, a computer-readable recording medium in which a program for implementing the above-described method is recorded may be provided.

본 발명의 일 실시 예로써, 치아교합 시뮬레이션 시스템이 제공된다.As an embodiment of the present invention, a dental occlusion simulation system is provided.

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템은 상악 및 하악의 치아와 잇몸의3차원 모델을 입력 받고, 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출부, 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍 간의 거리가 최소가 되도록 상악 및 하악을 초기 정렬하는 상하악 초기 정렬부, 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득부, 최적교합에 조기접촉이 있는지 여부를 판단하고, 조기접촉이 있는 경우 최적교합에서 조기접촉이 발생한 영역을 삭제하고 다시 최적교합을 구하는 조기접촉 삭제부를 포함할 수 있다.The dental occlusion simulation system according to an embodiment of the present invention receives a three-dimensional model of teeth and gums of the maxilla and mandible as input, and a feature point for detecting an Embrasure, Cusp, or Fossa as a feature point. The detection unit determines the pair of key points by matching the key points in the upper jaw to the key points in the mandible, and the upper and lower initial alignment unit that initially aligns the maxilla and the mandible so that the distance between the pair of key points is minimized, the center line indicating the relationship between the maxilla and the mandible; The optimal occlusion acquisition unit that obtains the optimal occlusion by adjusting the position of the maxilla so that the vertical and horizontal overlays are within the normal range and the contact area between the maxilla and the mandible is maximized, and whether there is an early contact in the optimal occlusion If there is early contact, an early contact deletion unit may be included to delete the area where the early contact occurred in the optimal occlusion and to obtain the optimal occlusion again.

아래에서는 첨부한 도면을 참조하여 본 발명이 속하는 기술 분야에서 통상의 지식을 가진 자가 용이하게 실시할 수 있도록 본 발명의 실시 예를 상세히 설명한다. 그러나 본 발명은 여러 가지 상이한 형태로 구현될 수 있으며 여기에서 설명하는 실시 예에 한정되지 않는다. 그리고 도면에서 본 발명을 명확하게 설명하기 위해서 설명과 관계없는 부분은 생략하였으며, 명세서 전체를 통하여 유사한 부분에 대해서는 유사한 도면 부호를 붙였다.Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings so that those of ordinary skill in the art can easily carry out the present invention. However, the present invention may be implemented in several different forms and is not limited to the embodiments described herein. And in order to clearly explain the present invention in the drawings, parts irrelevant to the description are omitted, and similar reference numerals are attached to similar parts throughout the specification.

본 명세서에서 사용되는 용어에 대해 간략히 설명하고, 본 발명에 대해 구체적으로 설명하기로 한다.Terms used in this specification will be briefly described, and the present invention will be described in detail.

본 발명에서 사용되는 용어는 본 발명에서의 기능을 고려하면서 가능한 현재 널리 사용되는 일반적인 용어들을 선택하였으나, 이는 당 분야에 종사하는 기술자의 의도 또는 판례, 새로운 기술의 출현 등에 따라 달라질 수 있다. 또한, 특정한 경우는 출원인이 임의로 선정한 용어도 있으며, 이 경우 해당되는 발명의 설명 부분에서 상세히 그 의미를 기재할 것이다. 따라서 본 발명에서 사용되는 용어는 단순한 용어의 명칭이 아닌, 그 용어가 가지는 의미와 본 발명의 전반에 걸친 내용을 토대로 정의되어야 한다.The terms used in the present invention have been selected as currently widely used general terms as possible while considering the functions in the present invention, but these may vary depending on the intention or precedent of a person skilled in the art, the emergence of new technology, and the like. In addition, in a specific case, there is a term arbitrarily selected by the applicant, and in this case, the meaning will be described in detail in the description of the corresponding invention. Therefore, the term used in the present invention should be defined based on the meaning of the term and the overall content of the present invention, rather than the name of a simple term.

명세서 전체에서 어떤 부분이 어떤 구성요소를 "포함"한다고 할 때, 이는 특별히 반대되는 기재가 없는 한 다른 구성요소를 제외하는 것이 아니라 다른 구성요소를 더 포함할 수 있음을 의미한다. 또한, 명세서에 기재된 "쪋부", "모듈" 등의 용어는 적어도 하나의 기능이나 동작을 처리하는 단위를 의미하며, 이는 하드웨어 또는 소프트웨어로 구현되거나 하드웨어와 소프트웨어의 결합으로 구현될 수 있다. 또한, 명세서 전체에서 어떤 부분이 다른 부분과 "연결"되어 있다고 할 때, 이는 "직접적으로 연결"되어 있는 경우뿐 아니라, "그 중간에 다른 소자를 사이에 두고"연결되어 있는 경우도 포함한다.In the entire specification, when a part "includes" a certain element, this means that other elements may be further included, rather than excluding other elements, unless otherwise stated. In addition, terms such as "a unit" and "module" described in the specification mean a unit that processes at least one function or operation, which may be implemented as hardware or software, or may be implemented as a combination of hardware and software. In addition, throughout the specification, when a part is "connected" with another part, this includes not only the case of "directly connected" but also the case of "connecting with another element in the middle".

이하 첨부된 도면을 참고하여 본 발명을 상세히 설명하기로 한다.Hereinafter, the present invention will be described in detail with reference to the accompanying drawings.

도 1은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템의 블록도이다.1 is a block diagram of a dental occlusion simulation system according to an embodiment of the present invention.

도 1을 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템은 상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받고, 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출부(100), 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍 간의 거리가 최소가 되도록 상악 및 하악을 초기 정렬하는 상하악 초기 정렬부(200), 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득부(300), 최적교합에 조기접촉이 있는지 여부를 판단하고, 조기접촉이 있는 경우 최적교합에서 조기접촉이 발생한 영역을 삭제하고 다시 최적교합을 구하는 조기접촉 삭제부(400)를 포함할 수 있다.Referring to FIG. 1 , the dental occlusion simulation system according to an embodiment of the present invention receives 3D models of upper and lower teeth and gums, and includes an Embrasure, Cusp or Fossa. The feature point detection unit 100 for detecting , as a feature point, determines a feature point pair by matching the feature point on the upper jaw with the feature point on the mandible, and an initial upper and lower jaw initial aligning unit ( 200), the optimal occlusion obtaining unit ( 300), it may include an early contact deletion unit 400 that determines whether or not there is early contact in the optimal occlusion, and if there is early contact, deletes the area where the early contact occurs in the optimal occlusion and again obtains the optimal occlusion.

3차원 모델은 구강 내 스캐너 또는 치아 석고모델로부터 획득한 3차원 모델링 파일로 구성될 수 있으며, 상악 및 하악에 존재하는 치아 및 잇몸의 형태를 나타낸다.The 3D model may be composed of a 3D modeling file obtained from an intraoral scanner or a dental plaster model, and represents the shape of teeth and gums present in the maxilla and mandible.

제어부(500)는 특징점 검출부(100), 상하악 초기 정렬부(200), 최적교합 획득부(300) 및 조기접촉 삭제부(400)를 제어할 수 있다. 3차원 모델을 입력 받아 특징점 검출부(100)로 전송하거나, 특징점 검출부(100)에서 검출된 특징점들을 상하악 초기 정렬부(200) 또는 조기접촉 삭제부(400)로 전송할 수 있다. The control unit 500 may control the feature point detection unit 100 , the upper and lower jaw initial alignment unit 200 , the optimal occlusion obtaining unit 300 , and the early contact deletion unit 400 . The 3D model may be received and transmitted to the feature point detector 100 , or the feature points detected by the feature point detector 100 may be transmitted to the upper and lower jaw initial alignment unit 200 or early contact deletion unit 400 .

본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 시스템의 동작은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법과 동일하므로 이하 도 2 내지 도 20을 참조하여 설명한다.Since the operation of the dental occlusion simulation system according to an embodiment of the present invention is the same as the dental occlusion simulation method according to an embodiment of the present invention, it will be described below with reference to FIGS. 2 to 20 .

도 2는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 순서도이다.2 is a flowchart of a dental occlusion simulation method according to an embodiment of the present invention.

도 2를 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받는 입력단계(S100), 3차원 모델에서 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출단계(S200), 상악에서의 특징점을 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 특징점 쌍간의 거리가 최소가 되도록 하여 상악 및 하악을 초기 정렬하는 상하악 초기 정렬단계(S300), 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상악 및 하악의 접촉면적이 최대가 되도록 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득단계(S400)를 포함할 수 있다.2, the tooth occlusion simulation method according to an embodiment of the present invention includes an input step (S100) of receiving a three-dimensional model of upper and lower teeth and gums, a gap between teeth in the three-dimensional model (Embrasure), A feature point detection step (S200) of detecting a cusp or a fossa as a feature point, a feature point pair is determined by matching a feature point in the upper jaw to a feature point in the mandible, and the distance between the feature point pairs is minimized to minimize the maxillary and The upper and lower jaw initial alignment step (S300) of initial alignment of the mandible, the center line indicating the relationship between the mandible and the mandible, the vertical and horizontal overlays are within the normal range, and the position of the maxilla is adjusted so that the contact area between the maxilla and the mandible is maximized. to obtain an optimal occlusion step (S400) of obtaining the optimal occlusion may be included.

입력단계(S100)는 제어부(500)를 통해 3차원 모델을 입력 받는다. 3차원 모델은 구강 내 스캐너 또는 치아 석고모델로부터 획득된 3차원 모델링 파일로써, 상악 및 하악이 분리될 수 있다.In the input step ( S100 ), the 3D model is received through the control unit 500 . The 3D model is a 3D modeling file obtained from an intraoral scanner or a dental plaster model, and the maxilla and the mandible may be separated.

이하 도 3 내지 도 11을 참조하여 특징점 검출단계(S200)에 대하여 상세히 설명하고, 이하 도 12 내지 도 14를 참조하여 상하악 초기 정렬단계(S300)에 상세히 대하여 설명하고, 이하 도 15를 참조하여 최적교합 획득단계(S400)에 대하여 상세히 설명한다.Hereinafter, the feature point detection step (S200) will be described in detail with reference to FIGS. 3 to 11, and the upper and lower jaw initial alignment step (S300) will be described in detail with reference to FIGS. 12 to 14 below, and below with reference to FIG. 15 The optimal occlusion obtaining step (S400) will be described in detail.

도 3은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 검출단계(S200)의 순서도이다.3 is a flowchart of the feature point detection step (S200) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 3을 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계(S200)는, 3차원 모델에서 치아에 존재하는 복수의 볼록한 점들을 추출하고, 점들을 4차 다항식의 형태로 표현하여 치열궁의 형태를 검출하는 치열궁 형태 검출단계(S211), 3차원 모델에서 치아의 넓이와 높이를 각각 검출하고, 넓이와 높이를 더한 값에 푸리에 변환 및 필터를 적용하여 복수의 극솟값을 추출하는 극솟값 추출 단계(S212), 복수의 극솟값을 3차원 모델에 적용하고, 복수의 극솟값을 지나는 복수의 기준선을 기준으로 치아를 분리하는 치아 영역 분리단계(S213), 기준선을 지나고, 3차원 모델에서 치아방향으로 가장 위에 있는 잇몸 위의 지점을 검출하여 치아사이 틈으로 정의하는 치아사이 틈 검출단계(S214)를 더 포함할 수 있다.Referring to FIG. 3 , the feature point detection step ( S200 ) in the tooth occlusion simulation method according to an embodiment of the present invention extracts a plurality of convex points present in the teeth from the three-dimensional model, and sets the points in the form of a quaternary polynomial. In the dental arch shape detection step (S211) of detecting the shape of the dental arch by expressing as Extracting the local minima (S212), applying a plurality of local minima to the three-dimensional model, and separating the tooth based on a plurality of reference lines passing the plurality of local minima (S213), passing the reference line, the three-dimensional model The method may further include a gap detection step (S214) of detecting a point on the uppermost gum in the tooth direction and defining it as a gap between the teeth (S214).

도 4는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치열궁 형태 검출단계(S211)를 설명하기 위한 도면이다.4 is a view for explaining the dental arch shape detection step (S211) of the dental occlusion simulation method according to an embodiment of the present invention.

도 4를 참조하면, 치열궁 형태 검출단계(S211)는 3차원 치아모델에서 볼록한 점들을 추출하고 4차 다항식을 이용하여 치열궁의 형태를 검출한다. 도 4(a)는 3차원 치아모델에서 추출한 볼록한 점들을 나타내고, 도 4(b)는 볼록한 점들을 4차원 방정식으로 표현한 것을 나타낸다.Referring to FIG. 4 , in the dental arch shape detection step S211, convex points are extracted from the 3D dental model and the shape of the dental arch is detected using a fourth-order polynomial. Figure 4 (a) shows the convex points extracted from the three-dimensional tooth model, Figure 4 (b) shows the representation of the convex points in a four-dimensional equation.

치열궁이란 치열이 그리는 곡선으로 정확하게는 앞니의 절연, 송곳니의 첨두, 어금니의 협측 교두의 첨두를 지나는 곡선을 말한다.The dental arch is a curve drawn by the teeth, precisely the curve that passes through the insulation of the incisors, the peak of the canine teeth, and the peak of the buccal cusp of the molars.

치열궁의 기준이 되는 치아의 특징들은 모두 주변보다 볼록한 형상을 가지므로, 3차원 치아모델에서 볼록한 점들을 추출하여 이를 4차 다항식으로 표현하면 치열궁의 형태를 검출할 수 있다.Since the characteristics of the teeth, which are the standards of the dental arch, all have a more convex shape than the surrounding ones, the shape of the dental arch can be detected by extracting convex points from the three-dimensional tooth model and expressing them as a fourth-order polynomial.

치열궁 형태를 검출하기 위한 방법으로 2차 다항식, 베타 함수, 입방 스플라인(cubic spline) 등이 모두 적용될 수 있으나, 4차 방정식으로 표현하는 것이 치열궁의 형태 분석에 있어 가장 합리적인 방식일 것이다.A quadratic polynomial, a beta function, a cubic spline, etc. can all be applied as a method for detecting the shape of the dental arch, but expressing it as a quadratic equation would be the most reasonable method for analyzing the shape of the dental arch.

도 5 및 도 6은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 극솟값 추출 단계(S212)를 설명하기 위한 도면이다.5 and 6 are diagrams for explaining the local minima extraction step (S212) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 5를 참조하면, 3차원 모델에서 치아의 넓이와 높이를 검출하는 방법을 알 수 있다. 상악 또는 하악의 3차원 모델의 왼쪽 끝에서 오른쪽 끝으로 이동하면서 치아의 넓이와 높이를 검출할 수 있다. Referring to FIG. 5 , a method of detecting the width and height of a tooth in a 3D model can be seen. The width and height of the teeth can be detected while moving from the left end to the right end of the 3D model of the maxilla or mandible.

도 6(a)은 위 방식을 통해 검출한 치아의 넓이 그래프를 나타내고, 도 6(b)는 위 방식을 통해 검출한 치아의 높이 그래프를 나타낸다.Fig. 6 (a) shows a graph of the width of the tooth detected through the above method, and Fig. 6 (b) shows a graph of the height of the tooth detected through the above method.

도 6(a)에서 검출한 치아의 넓이 그래프와 도 6(b)에서 검출한 치아의 높이 그래프의 합을 구하고 여기에 푸리에 변환을 적용하여 입력신호를 sin, cos의 주기함수들의 합으로 분해한다.Find the sum of the tooth width graph detected in Fig. 6(a) and the tooth height graph detected in Fig. 6(b), and apply Fourier transform to it to decompose the input signal into the sum of the periodic functions of sin and cos .

푸리에 변환을 적용한 치아의 넓이 및 높이의 합에 필터를 적용하여 잡음과 같이 급격하게 변하는 값을 제거하여 변화를 매끄럽게 하고 경향을 알기 쉽게 한다.By applying a filter to the sum of the width and height of the tooth to which the Fourier transform is applied, a value that changes rapidly such as noise is removed to smooth the change and make it easier to understand the trend.

이때, 일반적으로 치아와 치아 사이는 다른 곳에 비해 넓이와 높이가 낮으므로 극솟값이 치아와 치아 사이를 의미할 수 있으며, 극솟값을 기준으로 치아와 치아를 분리할 수 있다. 이때 극솟값은 치아의 개수보다 하나 적은 수로 형성될 수 있다.In this case, since the width and height are generally lower between the teeth and the other places, the local minimum may mean between the teeth and the teeth may be separated based on the local minimum. In this case, the local minimum may be formed in a number that is one less than the number of teeth.

도 7은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치아 영역 분리단계(S213)를 설명하기 위한 도면이다.7 is a view for explaining the tooth region separation step (S213) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 7을 참조하면, 극솟값을 지나는 기준선을 기준으로 3차원 모델에서 치아영역이 분리된 것을 알 수 있다.Referring to FIG. 7 , it can be seen that the tooth region is separated in the 3D model based on the reference line passing through the local minimum.

도 8은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 치아사이 틈 검출단계(S214)를 설명하기 위한 도면이다.8 is a view for explaining the interdental gap detection step (S214) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 8을 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법을 통해 검출한 치아사이 틈을 나타낸다. 치아사이 틈이란 인접한 이의 윤곽과 위치에 따라 생기는 공간을 의미한다.Referring to FIG. 8 , the gap between teeth detected through the tooth occlusion simulation method according to an embodiment of the present invention is shown. The gap between teeth means a space created by the contour and position of adjacent teeth.

실시 예에 따라, 본 발명에서는 3차원 모델을 수직으로 지나고 기준선을 연장한 평면에서 치아방향으로 가장 위에 있는 잇몸 위의 지점을 치아사이 틈으로 정의한다.According to an embodiment, in the present invention, a point on the uppermost gum in the tooth direction in a plane extending a reference line through a 3D model vertically is defined as a gap between teeth.

도 9는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 검출단계(S200)의 순서도이다.9 is a flowchart of the feature point detection step (S200) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 9를 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법에서 특징점 검출단계(S200)는, 3차원 모델에서 어금니의 중심을 원점으로 하는 직교 좌표계를 이용하여 어금니를 4개의 영역으로 나누는 어금니 영역 분할단계(S221), 영역에서 주변보다 높이가 높은 복수의 교두 후보점들을 추출하고, 복수의 교두 후보점들이 모두 위에 존재하는 평면을 설계하는 어금니 교합표면 검출단계(S222), 교두 후보점 내에서, 평면에서 어금니의 외부 표면까지의 직선거리가 최대인 점을 교두로 검출하는 교두 검출단계(S223), 및 평면에서 잇몸 방향으로 어금니의 외부 표면까지의 직선거리가 최대인 점을 와로 검출하는 와 검출단계(S224)를 더 포함할 수 있다.Referring to FIG. 9 , the feature point detection step S200 in the tooth occlusion simulation method according to an embodiment of the present invention divides the molars into four regions using a Cartesian coordinate system with the center of the molars as the origin in the three-dimensional model. Molar region segmentation step (S221), molar occlusal surface detection step (S222) of extracting a plurality of cusp candidate points higher than the surrounding area from the region, and designing a plane in which a plurality of cusp candidate points exist all above (S222), cusp candidate points In the cusp detection step (S223) of detecting the point where the straight-line distance from the plane to the outer surface of the molar is the maximum as the cusp, and the point where the straight-line distance from the plane to the outer surface of the molar in the direction of the gum is the maximum, the cochlea is detected and may further include a detection step (S224).

도 10은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 어금니 영역 분할단계(S221), 교합표면 검출단계(S222) 및 교두 검출단계(S223)를 설명하기 위한 도면이다.10 is a view for explaining the molar region division step (S221), the occlusal surface detection step (S222) and the cusp detection step (S223) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 10(a)를 참조하면, 본 발명의 일 실시 예에 따라 어금니의 영역을 분할한 것을 알 수 있다. 실시 예에 따라 어금니는 어금니의 중심점을 원점으로 하는 직교 좌표계를 기준으로 하여 4개의 영역으로 분할할 수 있다.Referring to FIG. 10( a ), it can be seen that the molar region is divided according to an embodiment of the present invention. According to an embodiment, the molars may be divided into four regions based on an orthogonal coordinate system having the central point of the molar as the origin.

실시 예에 따라 4개의 영역은 어금니의 해부학적 영역으로 분할될 수 있다. 어금니의 해부학적 영역은 원심협측부(Distobuccal), 근심협측부(Mesiobuccaal), 근심설측부(Mesiolingula), 원심설측부(Distolingual)로 구성된다.According to an embodiment, the four regions may be divided into anatomical regions of the molars. The anatomical region of the molars consists of the distobuccal, mesiobuccaal, mesiolingula, and distolingual.

도 10(b)를 참조하면, 본 발명의 일 실시 예에 따라 검출한 교두를 알 수 있다. 도 10(b)에서 초록색 점은 교두 후보점을 나타내며, 파란색 선은 교두를 검출하기 위해 사용된 평면을 나타낸다. 도 10(b)에서 교두는 빨간색 점으로 나타냈으며, 총 5개의 교두가 검출되었다.Referring to FIG. 10(b) , the cusps detected according to an embodiment of the present invention can be seen. In Fig. 10(b), green dots indicate candidate cusps, and blue lines indicate planes used to detect cusps. In Fig. 10(b), the cusps are indicated by red dots, and a total of 5 cusps were detected.

교합표면이란 음식을 씹을 때 충돌이 일어나는 어금니의 표면을 의미한다. 이때, 교두와 와는 교합표면 위에 존재한다. 교두(Cusp)는 교합표면에서 볼록한 점들이고, 와(Fossa)는 오목한 점으로 정의된다. 하나의 어금니에서 평균 교두의 개수는 4개에서 6개 사이이다. 교합표면에 가장 가까운 평면을 교합 평면으로 정의한다.The occlusal surface refers to the surface of the molars that collide with when chewing food. At this time, the cusp and coccyx exist on the occlusal surface. Cusp is a convex point on the occlusal surface, and Fossa is defined as a concave point. The average number of cusps in a molar is between 4 and 6 cusps. The plane closest to the occlusal surface is defined as the occlusal plane.

어금니의 4개의 영역에서 주변보다 치아의 높이가 높은 부분들을 추출하여 교두 후보점으로 정의하고, 교두 후보점들이 모두 위에 있는 평면을 설계한다. 이때의 평면이 교합평면에 해당한다.From the four areas of the molars, the portions with a higher tooth height than the surrounding areas are extracted and defined as cusp candidate points, and a plane is designed in which all cusp candidate points are on top. The plane at this time corresponds to the occlusal plane.

교합표면에서 볼록한 지점이 교두에 해당하므로, 교두 후보점에 포함된 지점들 중에서, 상기 평면에서 잇몸 반대 방향으로 어금니의 외부 표면까지의 직선거리가 최대인 지점을 추출하면 교두를 검출할 수 있다.Since the convex point on the occlusal surface corresponds to the cusp, the cusp can be detected by extracting the point with the maximum linear distance from the plane to the outer surface of the molar in the direction opposite the gum from among the points included in the candidate cusp point.

도 11은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 와 검출단계(S224)를 설명하기 위한 도면이다.11 is a view for explaining the and detection step (S224) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 11을 참조하면, 본 발명의 일 실시 예에 따라 검출한 와를 알 수 있다. 도 11에서 파란색 사각형은 교두를 기준으로 재설계한 평면을, 빨간색 점은 본 발명의 일 실시 예에 따라 검출한 교두를, 검은색 점은 와를 나타낸다.Referring to FIG. 11 , it can be seen that a wah is detected according to an embodiment of the present invention. In FIG. 11 , a blue rectangle indicates a redesigned plane based on the cusp, a red dot indicates a cusp detected according to an embodiment of the present invention, and a black dot indicates a wa.

교합표면에서 가장 오목한 지점이 와에 해당하므로 교두를 검출하는데 사용한 평면인 교합평면에서 잇몸방향으로 직선 거리가 최대인 점을 추출하면 와를 검출할 수 있다.Since the most concave point on the occlusal surface corresponds to the cav, it can be detected by extracting the point with the largest linear distance in the direction of the gum from the occlusal plane, which is the plane used to detect the cusp.

실시 예에 따라, 상기 평면은 검출된 교두들에 가장 가까운 평면을 재설계한 뒤 와를 검출하는 데에 사용될 수 있다.According to an embodiment, the plane may be used to detect the fossa after redesigning the plane closest to the detected cusps.

도 12는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 어금니 관계와 송곳니 위치를 설명하기 위한 도면이다.12 is a view for explaining a molar relationship and a canine position in a dental occlusion simulation method according to an embodiment of the present invention.

도 12를 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계(S300)에서, 특징점 쌍은 상악 및 하악의 정상교합 상태에서의 어금니 관계와 송곳니 위치를 기준으로 선택되는 것을 특징으로 할 수 있다.12, in the dental occlusion simulation method according to an embodiment of the present invention, in the initial alignment step (S300) of the upper and lower jaws, a pair of feature points is selected based on the molar relationship and canine position in the normal occlusion state of the maxilla and mandible. It can be characterized as being.

어금니 관계란 하악의 어금니의 교두 또는 교두와 교두 사이와 상악의 교두와 교두 사이 또는 교두 간의 관계를 의미한다. 예를 들어, 하악의 교두와 교두 사이가 상악의 교두와 맞물리도록 특징점 쌍을 선택할 수 있다.The molar relationship refers to the relationship between the cusps or cusps and cusps of the lower molars and between the cusps and cusps of the maxilla or between the cusps. For example, the pair of feature points may be selected such that the cusp of the mandible and the cusp of the mandible engage the cusp of the maxilla.

송곳니란 앞니와 어금니 사이에, 앞니 옆에 위치한 치아를 의미하며, 본 발명에서 송곳니 위치란 상악에 존재하는 송곳니가 하악에 존재하는 어떤 치아들 사이에 존재해야 하는지를 의미한다. 예를 들어, 송곳니가 하악의 제1소구치와 견치 사이에 위치하도록 송곳니 위치를 고려하여 상악과 하악의 특징점 쌍을 선택할 수 있다. Canine means a tooth located between the incisors and molars, next to the incisors, and in the present invention, the canine position means between which teeth the canine existing in the upper jaw should exist in the mandible. For example, the pair of characteristic points of the maxilla and the mandible may be selected in consideration of the position of the canine so that the canine is located between the first premolar and the canine of the mandible.

도 13은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 특징점 쌍을 설명하기 위한 도면이다.13 is a view for explaining a pair of feature points in a tooth occlusion simulation method according to an embodiment of the present invention.

도 13에서는 총 15쌍의 특징점 쌍을 결정하였으며, 도 13에서 왼쪽에 있는 도면이 하악, 오른쪽에 있는 도면이 상악을 나타낸다.In FIG. 13 , a total of 15 pairs of feature points were determined. In FIG. 13 , the figure on the left shows the mandible and the figure on the right shows the maxilla.

왼쪽의 1번 및 2번은 교두에 해당하고, 오른쪽의 1번 및 2번과 특징점 쌍을 이룬다. 이때, 오른쪽의 1번은 와에 해당하고, 2번은 치아사이 틈에 해당한다. 즉 교두는 교두끼리 와는 와끼리 특징점 쌍이 결정되는 것이 아니라 어금니 관계 및 송곳니 위치를 고려하여 특징점 쌍이 결정된다.No. 1 and No. 2 on the left correspond to the cusp, and No. 1 and No. 2 on the right form a feature point pair. At this time, number 1 on the right corresponds to the cavity, and number 2 corresponds to the gap between the teeth. That is, as for the cusp, the pair of key points is not determined between the cusps and between the cusps, but the pair of key points is determined in consideration of the molar relationship and the position of the canine teeth.

도 14는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 점정합 방법을 설명하기 위한 도면이다.14 is a view for explaining a point registration method of a tooth occlusion simulation method according to an embodiment of the present invention.

도 14를 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 상하악 초기 정렬단계(S300)에서, 특징점 쌍간의 거리는 점정합 방법(Paired point registration)을 통해 최소화되는 것을 특징으로 할 수 있다.Referring to FIG. 14 , in the dental occlusion simulation method according to an embodiment of the present invention, in the initial alignment step ( S300 ), the distance between the pair of feature points is minimized through paired point registration. there is.

점정합 방법이란, 3차원 모델에 특징점들을 표시하고 상악 및 하악의 특징점들을 대응시켜 특징점 쌍을 결정하고, 각 특징점 쌍간의 거리를 추출하여 특징점 쌍간의 거리가 최소가 되도록 상하악을 정렬하는 것을 의미한다.The point matching method is to mark the feature points on the 3D model, determine the feature point pair by matching the feature points of the maxilla and the mandible, extract the distance between each feature point pair, and align the upper and lower jaw so that the distance between the feature point pairs is minimized. do.

도 15는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 중심선, 수평피개 및 수직피개를 설명하기 위한 도면이다.15 is a view for explaining a center line, a horizontal covering, and a vertical covering of the tooth occlusion simulation method according to an embodiment of the present invention.

도 15를 참조하면, 중심선, 수평피개 및 수직피개의 의미를 알 수 있다. 도 15(a)는 중심선을 도 15(b)는 수평피개를, 도 15(c)는 수직피개를 각각 나타낸다.Referring to FIG. 15 , the meaning of the center line, horizontal covering and vertical covering can be seen. Fig. 15 (a) shows a center line, Fig. 15 (b) shows a horizontal covering, and Fig. 15 (c) shows a vertical covering, respectively.

중심선이란 앞니 사이의 라인을 의미하며, 중심선의 기울어진 정도(단위[mm])가 치아의 교합을 결정하는 기준이 될 수 있다.The center line refers to the line between the incisors, and the degree of inclination (unit [mm]) of the center line can be a criterion for determining tooth occlusion.

수평피개(Overjet)란 상악 치아의 끝과 하악 치아의 끝 사이에서 수평적으로 형성되는 거리를 의미한다. 수평피개의 단위는 [mm]이며, 정상적인 수평피개는 2-3mm에 해당한다.Overjet refers to the distance formed horizontally between the tip of the maxillary tooth and the tip of the mandibular tooth. The unit of horizontal covering is [mm], and normal horizontal covering corresponds to 2-3 mm.

수직피개(Overbite)란 상악 치아가 하악 치아를 덮고 있는 정도를 의미한다. 수직피개는 주로 %로 표현되며, 정상적인 수직피개는 10-20% 정도이다.Overbite refers to the extent to which the maxillary teeth cover the mandibular teeth. The vertical cover is mainly expressed as a percentage, and the normal vertical cover is about 10-20%.

실시 예에 따라, 치아교합 시뮬레이션 방법은 최적교합 획득단계(S400)에서, 정상범위는 중심선은 -1.5 내지 1.5에 해당하고, 수평피개는 2.0 내지 4.0에 해당하고, 수직피개는 -1.0 내지 -3.0 사이에 해당하는 것을 특징으로 할 수 있다.According to an embodiment, in the dental occlusion simulation method, in the optimal occlusion obtaining step (S400), the normal range corresponds to -1.5 to 1.5 for the center line, 2.0 to 4.0 for horizontal overcover, and -1.0 to -3.0 for vertical overcover. It may be characterized as corresponding to between.

정상범위는 환자의 특징 또는 상태 별로 상이하게 설정될 수 있으며, 의료진의 판단에 따라 필요 시 수정이 가능하다.The normal range may be set differently for each patient's characteristics or condition, and may be modified if necessary according to the judgment of the medical staff.

도 16은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 조기접촉 판단단계(S510) 및 조기접촉 삭제단계(S520)의 순서도이다.16 is a flowchart of an early contact determination step (S510) and an early contact deletion step (S520) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 16을 참조하면, 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 최적교합에 조기접촉이 있는지 여부를 판단하는 조기접촉 판단단계(S510), 조기접촉이 있는 경우, 최적교합에서 조기접촉이 발생한 영역을 삭제하고, 다시 최적교합을 구하는 조기접촉 삭제단계(S520)를 더 포함할 수 있다.Referring to FIG. 16 , in the tooth occlusion simulation method according to an embodiment of the present invention, an early contact determination step (S510) for determining whether there is an early contact in the optimal occlusion, and if there is an early contact, the early contact in the optimal occlusion The method may further include an early contact deletion step (S520) of deleting the generated region and obtaining an optimal occlusion again.

또한 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법은 조기접촉 삭제단계(S520)는, 치아의 접촉 순서에 따라 삭제할 치아를 결정하는 삭제치아 결정단계(S521), 조기접촉이 발생한 지점을 점좌표를 추출하고, 점좌표와의 수직거리가 최소이고 치아를 지나는 평면을 설계하는 평면설계단계(S522), 3차원 모델에서 점좌표를 평면 위로 정사영시키는 정사영 단계(S523)를 더 포함할 수 있다.In addition, in the tooth occlusion simulation method according to an embodiment of the present invention, the early contact deletion step (S520) includes the tooth to be deleted determining step (S521) for determining the tooth to be deleted according to the order of contact of the teeth, and point coordinates at the point where the early contact occurs It may further include a planar design step (S522) of extracting the point coordinates and designing a plane passing through the teeth with a minimum vertical distance from the point coordinates, and orthographic projection step (S523) of orthographically projecting the point coordinates onto the plane in the three-dimensional model.

도 17은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 조기접촉을 설명하기 위한 도면이다.17 is a view for explaining an early contact in the tooth occlusion simulation method according to an embodiment of the present invention.

도 17을 참조하면, 조기접촉에 대하여 알 수 있다. 도 17에서 빨간색 동그라미로 표시된 부분(A)이 조기접촉을 나타낸다. 조기접촉이란 상악과 하악의 90%가 맞물리기 이전에 접촉하는 것을 의미한다.Referring to FIG. 17 , it can be known about early contact. In FIG. 17, a portion (A) marked with a red circle indicates early contact. Early contact means contact before 90% of maxilla and mandible are engaged.

조기접촉이 있는 경우, 조기 접촉점으로 인해 상악 또는 하악이 미끌려 비대칭을 유발시킬 수 있으며, 조기 접촉점이 축을 형성하고, 지렛대 작용을 통해 하악을 회전시켜 턱관절의 불안정을 유발할 수 있다. 따라서, 조기접촉이 있는 환자의 경우 이를 삭제한 뒤 다시 최적교합을 설계해야 할 것이다.If there is early contact, the maxilla or mandible may slide due to the early contact point, causing asymmetry. Therefore, in the case of a patient with early contact, it will be necessary to design the optimal occlusion again after removing it.

도 18은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 삭제치아 결정단계(S521)를 설명하기 위한 도면이다.18 is a view for explaining the step of determining the preparation tooth (S521) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 18을 참조하면, 접촉이 일어나는 순서를 알 수 있다. 도 18에서 빨강에서 파랑 순으로 접촉이 일어난다. 도 18에서 빨간 지점들이 가장 먼저 접촉이 일어나는 지점으로, 조기접촉에 해당한다.Referring to FIG. 18 , the order in which the contact occurs can be seen. In FIG. 18 , the contact occurs in the order from red to blue. In FIG. 18 , red points are points at which contact occurs first, and correspond to early contact.

삭제치아 결정단계(S521)에서는 접촉 순서에 따라 삭제할 치아를 결정한다. 예를 들어, 접촉 순서가 가장 빠른 것부터 10번째로 접촉한 지점이 포함된 치아를 삭제하도록 결정할 수 있다.In the tooth to be deleted determination step (S521), the tooth to be deleted is determined according to the contact sequence. For example, it may be determined to delete a tooth including the contact point from the earliest to the 10th contact.

도 19는 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법의 정사영 단계(S523)를 설명하기 위한 도면이다.19 is a view for explaining the orthographic projection step (S523) of the tooth occlusion simulation method according to an embodiment of the present invention.

도 19에서 X는 정사영 시킨 후 3차원 모델을, Y는 정사영 시키기 전 3차원 모델을 나타낸다.In FIG. 19, X denotes a three-dimensional model after orthographic projection, and Y denotes a three-dimensional model before orthographic projection.

평면설계단계(S522)에서는 조기접촉이 발생한 지점을 점좌표로 추출하고, 점좌표와의 수직거리가 최소이고, 치아를 지나는 평면을 설계할 수 있으며, 정사영 단계(S523)에서는 3차원 모델에서 점좌표를 평면 위로 정사영 시킬 수 있다.In the planar design step (S522), the point where the early contact occurred is extracted as point coordinates, the vertical distance from the point coordinates is the minimum, and a plane passing through the teeth can be designed. Coordinates can be projected orthogonally onto a plane.

3차원 모델에서 X와 Y 사이에 해당하는 부분에 의해 조기접촉이 발생한 것이므로 X와 Y 사이에 해당하는 부분을 삭제하면 조기접촉을 제거할 수 있다. 이때, 치아의 삭제량은 평면이 위치하는 높이에 따라 달라지며, 기본적으로는 점좌표들의 평균 높이로 하고, 필요에 의해 사용자가 조절할 수 있다.Since the early contact is caused by the part between X and Y in the 3D model, the early contact can be eliminated by deleting the part between X and Y. At this time, the amount of tooth removal varies depending on the height at which the plane is located, and is basically the average height of the point coordinates, and can be adjusted by the user as needed.

도 20은 본 발명의 일 실시 예에 따른 치아교합 시뮬레이션 방법 및 시스템에 의해 제공되는 최적교합을 설명하기 위한 도면 이다.20 is a view for explaining the optimal occlusion provided by the dental occlusion simulation method and system according to an embodiment of the present invention.

도 20을 참조하면 본 발명에 따른 치아교합 시뮬레이션 방법 및 시스템을 통해 설계되어 제공되는 최적교합 모델을 알 수 있다.Referring to FIG. 20, it can be seen that the optimal occlusion model is designed and provided through the dental occlusion simulation method and system according to the present invention.

전술한 본 발명의 설명은 예시를 위한 것이며, 본 발명이 속하는 기술분야의 통상의 지식을 가진 자는 본 발명의 기술적 사상이나 필수적인 특징을 변경하지 않고서 다른 구체적인 형태로 쉽게 변형이 가능하다는 것을 이해할 수 있을 것이다. 그러므로, 이상에서 기술한 실시 예들은 모든 면에서 예시적인 것이며, 한정적이 아닌 것으로 이해해야만 한다. 예를 들어, 단일형으로 설명되어 있는 각 구성요소는 분산되어 실시될 수도 있으며, 마찬가지로 분산된 것으로 설명되어 있는 구성 요소들도 결합된 형태로 실시될 수 있다.The description of the present invention described above is for illustration, and those of ordinary skill in the art to which the present invention pertains can understand that it can be easily modified into other specific forms without changing the technical spirit or essential features of the present invention. will be. Therefore, it should be understood that the embodiments described above are illustrative in all respects and not restrictive. For example, each component described as a single type may be implemented in a distributed manner, and likewise components described as distributed may be implemented in a combined form.

본 발명의 범위는 상기 상세한 설명보다는 후술하는 특허청구범위게 의하여 나타내어지며, 특허청구범위의 의미 및 범위 그리고 그 균등 개념으로부터 도출되는 모든 변경 또는 변형된 형태가 본 발명의 범위에 포함되는 것으로 해석되어야 한다.The scope of the present invention is indicated by the following claims rather than the above detailed description, and all changes or modifications derived from the meaning and scope of the claims and their equivalent concepts should be interpreted as being included in the scope of the present invention. do.

Claims (10)

상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받는 입력단계;an input step of receiving a three-dimensional model of teeth and gums of the upper and lower jaws; 상기 3차원 모델에서 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출단계;a feature point detection step of detecting a gap between teeth (Embrasure), a cusp (Cusp), or a fossa (Fossa) as a feature point in the three-dimensional model; 상기 상악에서의 특징점을 상기 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 상기 특징점 쌍간의 거리가 최소가 되도록 하여 상기 상악 및 하악을 초기 정렬하는 상하악 초기 정렬단계;a maxillary and mandibular initial alignment step of determining a feature point pair by matching the feature point in the upper jaw to the feature point in the mandible, and initially aligning the maxilla and the mandible so that the distance between the pair of feature points is minimized; 상기 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상기 상악 및 하악의 접촉면적이 최대가 되도록 상기 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득단계를 포함하는 치아교합 시뮬레이션 방법.The optimal occlusion obtaining step of obtaining the optimal occlusion by adjusting the position of the maxilla so that the center line, vertical overgear, and horizontal overcover, indicating the relationship between the maxilla and the mandible, fall within the normal range, and the contact area between the maxilla and the mandible is maximized. Dental occlusion simulation method including. 제 1 항에 있어서,The method of claim 1, 상기 특징점 검출단계는,The feature point detection step is 상기 3차원 모델에서 상기 치아에 존재하는 복수의 볼록한 점들을 추출하고, 상기 점들을 4차 다항식의 형태로 표현하여 치열궁의 형태를 검출하는 치열궁 형태 검출단계;a dental arch shape detection step of extracting a plurality of convex points present in the tooth from the three-dimensional model, and expressing the points in the form of a fourth-order polynomial to detect the shape of the dental arch; 상기 3차원 모델에서 상기 치아의 넓이와 높이를 각각 검출하고, 상기 넓이와 상기 높이를 더한 값에 푸리에 변환 및 필터를 적용하여 복수의 극솟값을 추출하는 극솟값 추출 단계;a local minima extraction step of extracting a plurality of local minima by detecting an area and a height of the tooth in the three-dimensional model, respectively, and applying a Fourier transform and a filter to a value obtained by adding the area and the height; 상기 복수의 극솟값을 상기 3차원 모델에 적용하고, 상기 복수의 극솟값을 지나는 복수의 기준선을 기준으로 상기 치아를 분리하는 치아 영역 분리단계;a tooth region separation step of applying the plurality of local minima to the three-dimensional model, and separating the teeth based on a plurality of reference lines passing through the plurality of local minima; 상기 기준선을 지나고, 상기 3차원 모델에서 치아방향으로 가장 위에 있는 상기 잇몸 위의 지점을 검출하여 상기 치아사이 틈으로 정의하는 치아사이 틈 검출단계를 더 포함하는 치아교합 시뮬레이션 방법.The tooth occlusion simulation method further comprising a tooth gap detection step of passing the reference line, detecting a point on the gum, which is the uppermost point in the tooth direction in the three-dimensional model, and defining it as the gap between the teeth. 제 1 항에 있어서,The method of claim 1, 상기 특징점 검출단계는,The feature point detection step is 상기 3차원 모델에서 어금니의 중심을 원점으로 하는 직교 좌표계를 이용하여 상기 어금니를 4개의 영역으로 나누는 어금니 영역 분할단계;a molar region dividing step of dividing the molar into four regions using a Cartesian coordinate system having the center of the molar as an origin in the three-dimensional model; 상기 영역에서 주변보다 높이가 높은 복수의 교두 후보점들을 추출하고, 상기 복수의 교두 후보점들이 모두 위에 존재하는 평면을 설계하는 어금니 교합표면 검출단계;a molar occlusal surface detection step of extracting a plurality of cusp candidate points having a height higher than that of the periphery in the region, and designing a plane on which all of the plurality of cusp candidate points exist; 상기 교두 후보점 내에서, 상기 평면에서 상기 어금니의 외부 표면까지의 직선거리가 최대인 점을 상기 교두로 검출하는 교두 검출단계; 및a cusp detection step of detecting, as the cusp, a point in which a straight-line distance from the plane to the outer surface of the molar is maximum within the cusp candidate point; and 상기 평면에서 상기 잇몸 방향으로 상기 어금니의 외부 표면까지의 직선거리가 최대인 점을 와로 검출하는 와 검출단계를 더 포함하는 치아교합 시뮬레이션 방법.The occlusion simulation method further comprising an orbit detection step of detecting a point where the straight-line distance from the plane to the outer surface of the molar in the direction of the gum is the maximum. 제 1 항에 있어서,The method of claim 1, 상기 상하악 초기 정렬단계에서,In the initial alignment of the upper and lower jaw, 상기 특징점 쌍은 상기 상악 및 하악의 정상교합 상태에서의 어금니 관계와 송곳니 위치를 기준으로 선택되는 것을 특징으로 하는 치아교합 시뮬레이션 방법.The pair of feature points is a dental occlusion simulation method, characterized in that it is selected based on a molar relationship and a canine position in the normal occlusion state of the maxilla and mandible. 제 1 항에 있어서,The method of claim 1, 상기 상하악 초기 정렬단계에서,In the initial alignment of the upper and lower jaw, 상기 특징점 쌍간의 거리는 점정합 방법을 통해 최소화되는 것을 특징으로 하는 치아교합 시뮬레이션 방법.Dental occlusion simulation method, characterized in that the distance between the pair of feature points is minimized through the point registration method. 제 1 항에 있어서,The method of claim 1, 상기 최적교합 획득단계에서,In the step of obtaining the optimal occlusion, 상기 정상범위는 상기 중심선이 -1.5 내지 1.5에 해당하고, 상기 수평피개가 2.0 내지 4.0에 해당하고, 상기 수직피개가 -1.0 내지 -3.0 사이에 해당하는 것을 특징으로 하는 치아교합 시뮬레이션 방법.The normal range is a dental occlusion simulation method, characterized in that the center line corresponds to -1.5 to 1.5, the horizontal overlay corresponds to 2.0 to 4.0, and the vertical overlay corresponds to -1.0 to -3.0. 제 1 항에 있어서,The method of claim 1, 상기 최적교합에 조기접촉이 있는지 여부를 판단하는 조기접촉 판단단계;an early contact determination step of determining whether there is an early contact in the optimal occlusion; 상기 조기접촉이 있는 경우, 상기 최적교합에서 상기 조기접촉이 발생한 영역을 삭제하고, 다시 최적교합을 구하는 조기접촉 삭제단계를 더 포함하는 치아교합 시뮬레이션 방법.and, when there is the early contact, deleting the region where the early contact occurred in the optimal occlusion and further comprising the early contact deletion step of obtaining the optimal occlusion again. 제 7 항에 있어서,8. The method of claim 7, 상기 조기접촉 삭제단계는,The early contact deletion step includes: 상기 치아의 접촉 순서에 따라 삭제할 치아를 결정하는 삭제치아 결정단계;a tooth to be deleted determining step of determining a tooth to be removed according to the contact order of the teeth; 상기 조기접촉이 발생한 지점을 점좌표를 추출하고, 상기 점좌표와의 수직거리가 최소이고 상기 치아를 지나는 평면을 설계하는 평면설계단계;a planar design step of extracting point coordinates from the point where the early contact occurred, and designing a plane having a minimum vertical distance from the point coordinates and passing through the tooth; 상기 3차원 모델에서 상기 점좌표를 상기 평면 위로 정사영시키는 정사영 단계를 더 포함하는 치아교합 시뮬레이션 방법.Orthogonal projection step of orthographically projecting the point coordinates on the plane in the three-dimensional model, tooth occlusion simulation method further comprising. 제 1 항 내지 제 8 항 중 어느 한 항의 방법을 구현하기 위한 프로그램이 기록된 컴퓨터로 읽을 수 있는 기록매체.A computer-readable recording medium in which a program for implementing the method of any one of claims 1 to 8 is recorded. 상악 및 하악의 치아와 잇몸의 3차원 모델을 입력 받고, 치아사이 틈(Embrasure), 교두(Cusp) 또는 와(Fossa)를 특징점으로 검출하는 특징점 검출부;a feature point detector that receives a three-dimensional model of upper and lower teeth and gums, and detects an Embrasure, a Cusp, or a Fossa as a feature point; 상기 상악에서의 특징점을 상기 하악에서의 특징점에 대응시켜 특징점 쌍을 결정하고, 상기 특징점 쌍 간의 거리가 최소가 되도록 상기 상악 및 하악을 초기 정렬하는 상하악 초기 정렬부;a maxillary and mandibular initial alignment unit that determines a feature point pair by matching the feature point in the upper jaw to the feature point in the mandible, and initially aligns the maxilla and the mandible so that the distance between the pair of feature points is minimized; 상기 상악 및 하악의 관계를 나타내는 중심선, 수직피개 및 수평피개가 정상범위에 해당하고, 상기 상악 및 하악의 접촉면적이 최대가 되도록 상기 상악의 위치를 조절하여 최적교합을 획득하는 최적교합 획득부;an optimal occlusion obtaining unit for obtaining an optimal occlusion by adjusting the position of the maxilla so that the center line, the vertical overgear, and the horizontal overcover, indicating the relationship between the maxilla and the mandible, fall within the normal range, and the contact area between the maxilla and the mandible is maximized; 상기 최적교합에 조기접촉이 있는지 여부를 판단하고, 상기 조기접촉이 있는 경우 상기 최적교합에서 상기 조기접촉이 발생한 영역을 삭제하고 다시 최적교합을 구하는 조기접촉 삭제부를 포함하는 치아교합 시뮬레이션 시스템.and an early contact deletion unit that determines whether there is early contact in the optimal occlusion, and deletes the region in which the early contact occurs in the optimal occlusion if there is early contact and obtains the optimal occlusion again.
PCT/KR2021/014235 2020-10-23 2021-10-14 Dental interlocking simulation method and system Ceased WO2022086052A1 (en)

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