CN102456089B - Manufacture the method for the dental appliance for adjusting tooth position - Google Patents
Manufacture the method for the dental appliance for adjusting tooth position Download PDFInfo
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Abstract
The present invention discloses a kind of manufacture for adjusting the method for the dental appliance of tooth position, i.e. a kind of method producing the digital data sets representing dental phenomenon, and wherein, the method comprises: obtain the first digital data sets representing tooth first state; There is provided at least one operational character, for revising the digital data sets representing dental phenomenon; And with state space search method, utilize described operational character, carry out state space search based on described first digital data sets, obtain the second digital data sets of expression second dental phenomenon; The rest may be inferred, obtains the N digital data sets of expression N dental phenomenon, wherein, N be greater than 2 integer; And N digital data sets and rectification achievement data are contrasted, to judge whether described N dental phenomenon meets described rectification index.
Description
Technical field
The application is Oral correction field, and especially relevant computer assists the method for the dental appliance manufactured for adjusting tooth position.
Background technology
Traditional dental orthodontic treatment is by devices such as band bonding on tooth, brackets, utilizes the orthotics such as utility arch, spring, apron to carry out orthodontic.This method has following shortcoming: aesthetics, comfort level are poor; Oral hygiene is difficult to safeguard; Clinician needs the training of long period could progressively grasp this technology; Each further consultation doctor will spend the plenty of time to regulate appliance, rescues process complexity.For traditional bracket rectifier, invisalign technology does not need bracket and arch wire, employing be a series of invisible orthotic devices.This kind of invisible orthotic device is made up of the elasticity transparent polymer material of safety, process of rescuing almost is completed other people in discovering, does not affect daily life and social activity.Meanwhile, without bonding bracket, adjustment arch wire loaded down with trivial details, clinical manipulation simplifies greatly, and whole process of rescuing saves time and laborsaving.Therefore at present without bracket invisalign method by increasing people is adopted.
The product that invisible orthotic device is Computer-aided Design Technology, rapid shaping technique and new material combine.It is a kind of transparent, the appliance worn can be plucked voluntarily.The same with traditional appliance, invisible orthotic device also makes Tooth Movement by applying suitable, controllable power on tooth.Execute doctor by computer simulation correcting process, and with medical elastic transparent polymer material for each process makes an appliance.Whole process of rescuing uses this series of appliance exactly instead, and wearing the used time, tooth all can have stressed sensation at every turn, and moves to the position of this appliance design.Often cross one-period (such as two weeks) and change next secondary appliance, tooth will move to normal alignment state gradually from initial deformities, thus reaches rectifying effect.
The making of invisible orthotic device has at present by suppressing one by one after manual row's tooth generation model, or by generating digital model after computer simulation row tooth, is made by rapid laser-shaping technique.Manual row's tooth is obtaining patient's tooth jaw die and after making plaster cast, to needing the tooth rescued to carry out moving and arranging, and suppressing invisible orthotic device according to the model that the teeth arrangement after displacement is made.Its shortcoming is that Tooth Movement precision is inadequate, and production efficiency is low, is difficult to realize mass customized.Current computer simulation row tooth method first obtains last or target tooth state, then according to original dental phenomenon and last dental phenomenon, obtains multiple intermediate teeth state by method of interpolation.Its shortcoming is once determine last dental phenomenon, and intermediate teeth state is just determined, therefore is difficult to avoid tooth to collide in orthodontic process, and the different operating being difficult to same tooth arranges step-length individually.Therefore, a kind of row's tooth method of combining efficient and flexible feature is needed.
Summary of the invention
The one side of the application provides a kind of method producing the digital data sets representing dental phenomenon, and it comprises: obtain the first digital data sets representing tooth first state; There is provided at least one operational character, for revising the digital data sets representing dental phenomenon; And utilization state space search method and operational character, based on the first digital data sets, produce the second digital data sets of expression second dental phenomenon.
In some embodiments, dental phenomenon can be the state of the upper jaw or lower jaw.In some embodiments, dental phenomenon can be the state of the part of the upper jaw or lower jaw.In some embodiments, dental phenomenon can be the state of the upper jaw and lower jaw.In some embodiments, dental phenomenon can be the state of the part of the upper jaw and lower jaw.In some embodiments, dental phenomenon can only include single tooth tooth.In some embodiments, dental phenomenon can comprise many teeth.
State space search method is converted to problem solving process the process in the path found from original state to dbjective state.State space search method tlv triple can be represented: [S, O, G], wherein, S is the set of original state, and O is operational character set, and G is the set of dbjective state.To current state application single job symbol, will the change of state be caused, thus reach a new state.
The set of all states can represent with constitutional diagram.In constitutional diagram, some states are dbjective states, if we have found the path being arrived dbjective state by initial state, problem just obtains answer.Answer is exactly the sequence of operations symbol used to carry out State Transferring by initial state arrival dbjective state.If path is the shortest, we can this paths optimum solution.
Conventional state space search has depth-first and breadth First.Breadth First in layer looks for downwards from original state, until find target.A branch has first been searched in depth-first in a certain order, then searches another branch.The breadth and depth first search said above is all blind search.State space search method also comprises heuristic search.
Heuristic search is that the search in state space is assessed the node that each is searched for, and obtains best node, then carries out searching for until target from this node.Search efficiency can be improved like this.
Represent with evaluation function the appraisal of node in heuristic search, evaluation function can represent in order to lower equation:
F (n)=g (n)+h (n) equation ()
Wherein f (n) is the evaluation function of node n, and g (n) is from start node to the actual cost of n node in state space, and h (n) is the estimate cost from n to destination node optimal path.Here mainly h (n) embodies the heuristic information of search, and g (n) is known.G (n) represents the preferential trend of the range of search.But as h (n) > > g (n), can g (n) be omitted, and raise the efficiency.In practical application, to newly-generated a collection of node calculate evaluation function, compare result of calculation, get the minimum node of assessment values and continue search, until reach destination node as new starting point.
Orthodontic treatment plan can be formulated by state space search method.Wherein, original state is the original dental phenomenon of patient; Operational character set can comprise blank operation, exodontia, proximal surface go glaze, translation, rotation etc.; Dbjective state set is the set of the dental phenomenon that the rectification meeting clinician's formulation requires.
In this application, in most cases, node, state and digital data sets can exchange use.
Operational character is a kind of discrete calculation machine arithmetic operation.When applying an operational character on a tooth, computing machine represents the digital data sets of current dental state by revising accordingly, obtains and represents that this tooth is by the digital data sets of the dental phenomenon after corresponding operating.Such as, when the operational character selecting to apply on the first tooth along X-axis forward translation 1mm, amendment is represented the digital data sets of current dental state by computing machine, the dental phenomenon after amended numerical data set representations first tooth on the basis of current dental state is shifted 1mm along X-axis forward.
In some embodiments, operational character comprises following at least one: along the translation of X-axis forward, along the translation of X-axis negative sense, along the translation of Y-axis forward, along the translation of Y-axis negative sense, along the translation of Z axis forward, along the translation of Z axis negative sense, turn clockwise, be rotated counterclockwise around X-axis, turn clockwise around Y-axis, be rotated counterclockwise around Y-axis, turn clockwise around Z axis, be rotated counterclockwise and their combination in any around Z axis around X-axis.
In some embodiments, operational character can also comprise and faces face and remove glaze.In some embodiments, proximal surface stripping amount can be set as follows.For premanillary teeth: 0.05 ~ 0.50mm/ enamel face; For upper jaw backteeth: 0.05 ~ 0.80mm/ enamel face; For mandibular anterior teeth: 0.05 ~ 0.50mm/ enamel face; For mandible posterior: 0.05 ~ 0.80mm/ enamel face.Industry those skilled in the art are appreciated that proximal surface stripping amount suitably can adjust according to patient's concrete condition.
In some embodiments, above-mentioned method it can also comprise: orthodontic achievement data is provided; And judge whether the second digital data sets mates with rectification achievement data, to judge whether the second dental phenomenon meets the rectification requirement of correcting representated by achievement data.
In some embodiments, correct achievement data and can comprise the preset range of at least one in following parameter or predetermined value: dental arch curve, crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
When correcting achievement data and comprising the preset range of an above-mentioned parameter, as long as the value of this parameter of dental phenomenon is positioned at this preset range, just think that this dental phenomenon has met the requirement of correcting and requiring for this parameter.
When correcting achievement data and comprising the predetermined value of an above-mentioned parameter, as long as the value of this parameter of dental phenomenon equals this predetermined value, just think that this dental phenomenon has met the requirement of correcting and requiring for this parameter.
1, crowding a
n: the difference of the length of the summation of corona width and the existing radian of dental arch.If this value is just, illustrate that dental arch exists crowded; If this value is negative, illustrate that dental arch exists gap.If this value is 0, illustrates that dental arch does not exist crowded, also there is not gap.Corona width refers to the nearly middle maximum diameter far away of corona.The existing arc length of dental arch and the integral curved length of dental arch.The existing dental arch arc length of lower jaw be from mandibular first molar is near contact point along mandibular premolar cheek point, stomach teeth cusp through the lower incisor incisal border of tooth of normal alignment to the nearly middle contact point of offside mandibular first molar do the length of camber line.When labiad side as equal in whole lower incisor or linguoclination, camber line should be measured along lower incisor dental shelf jacking row; The upper jaw existing dental arch arc length is also same acquisition.The crowding of normal denture should be 0, but also can arrange a scope according to the concrete condition of patient, meets the requirements as long as the crowding of this patient's denture is just thought within this scope.
2, Anterior overjet b
n: upper incisor incisxal edge is to the horizontal range of lower incisor labial surface.Normal Anterior overjet is generally 2 ~ 4mm.
3, the laminating c of labial teeth
n: lower incisor incisxal edge point to upper incisor incisxal edge point to lower incisor labial surface do vertical line intersection point between distance.Generally speaking, labial teeth is laminating is less than cutting of mandibular anterior teeth labial surface and 1/3 belongs to normal.
4, Spee curve curvature d
n: it is defined as, and connects the continuous recessed vertical curve of occlusion upwards that lower incisor cuts ridge and other sound of baby talk point formation, also known as Spee curve.The method measuring bilateral mandibular dental arch Spee curve curvature is, measures dental arch and closes face minimum point is formed plane distance to the cusp cutting end with lower incisor and grind one's teeth in sleep under last.Generally speaking, normal Spee curve curvature is 2mm.Leveling Spee curve curvature needs to consume gap, and the computing method consuming gap value are: measure left side and right side Spee curve curvature respectively, and institute's total is added divided by 2, is leveling dental arch or corrects the gap of closing Curves and needing.
5, Bolton exponent e
n: the proportionate relationship of upper and lower anterior teeth crown width summation and the whole sound of baby talk of upperdental arch are preced with the proportionate relationship of width summation.Can diagnose in patient's upperdental arch whether there is the inharmonic problem of corona width with Bolton index.Method measures the width of upper lower jaw corona, draws following ratio:
Labial teeth ratio=lower jaw 6 anterior teeth crown width summation/upper jaws 6 anterior teeth crown width summation * 100%
Full tooth ratio=lower jaw 12 anterior teeth crown width summation/upper jaws 12 anterior teeth crown width summation * 100%
The positive ordinary index of Bolton (Bolton, 1958) is:
Labial teeth ratio is 77.2 ± 0.22%
Full tooth ratio is 91.3 ± 0.26%
The Bolton index of Normal Chinese:
Labial teeth ratio is 78.8% ± 1.72%
Full tooth ratio is 91.5% ± 1.51%.
Can judge that the uncomfortable of upperdental arch occurs in the upper jaw or lower jaw according to above ratio, for the width of labial teeth or whole tooth is abnormal.
6, dental arch symmetry f
n: first on upper gnathode along Palatal suture determination center line, measure bilateral Homonym teeth to the width of center line, then whether symmetrically can understand dental arch left and right sides, each Homonym teeth forward and backward of bilateral whether at grade, if then do not shown that side tooth has reach at same plane.
7, shaft rake g
n: the angle that tooth clinical crown major axis forms with conjunction plane vertical line is axial rake.The gum end of clinical crown major axis to shaft rake during medium dip far away be on the occasion of, be negative value to shaft rake during mesial inclination.The shaft rake of normal occlusion be mostly on the occasion of.In some embodiments, the normal axis inclination of each tooth as shown in the following chart.
| The upper jaw | Lower jaw | ||
| 11、21 | 5° | 31、41 | 2° |
| 12、22 | 9° | 32、42 | 2° |
| 13、33 | 11° | 33、43 | 5° |
| 14、24 | 2° | 34、44 | 2° |
| 15、25 | 2° | 35、45 | 2° |
| 16、26 | 0° | 36、46 | 0° |
| 17、27 | 0° | 37、47 | 0° |
8, torque h
n: the angle that tooth clinical crown tangent line forms with conjunction plane vertical line is called torque.Clinical crown tangent line gum end at the rear of closing plane vertical line be on the occasion of, otherwise be negative value.In some embodiments, the normal torque of each tooth as shown in the following chart.
| The upper jaw | Lower jaw | ||
| 11、21 | 7° | 31、41 | -1° |
| 12、22 | 3° | 32、42 | -1° |
| 13、33 | -7° | 33、43 | -11° |
| 14、24 | -7° | 34、44 | -17° |
| 15、25 | -7° | 35、45 | -22° |
| 16、26 | -9° | 36、46 | -25° |
| 17、27 | -9° | 37、47 | -25° |
9, denture center line i
n: through an imaginary line two upper jaws or infradentale.If upper and lower two straight line overlaps, illustrate that upper and lower dentition center line is consistent; If upper and lower two straight lines are not overlapping, its difference is exactly upper and lower dentition Midline deviation amount.
10, dental arch bulging j
n: generally represent dental arch bulging with lower incisor position.Obtain by x-ray cephalometry.Reduce dental arch bulging and can take gap, otherwise can gap be produced.Chinese lower incisor bulging average is generally 96.5 ° ± 7.1.
11, arch width k
n: the measurement of arch width is generally divided into three sections to carry out, and is width between intercanine width, bicuspid respectively, intermolar width.
(1) intercanine width: reflection dental arch leading portion width.Measure the width between the canine tooth cusp of both sides.
(2) width between bicuspid: reflection dental arch stage casing width.Measure the width between the first bicuspid central fovea of both sides.
(3) intermolar width: reflection buccal segment width.Measure the width between the sixth-year molar central fovea of both sides.
In some embodiments, said method also comprises: utilization state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produces the N digital data sets of expression N dental phenomenon, wherein, N be greater than 2 integer; And judge whether N digital data sets mates with rectification achievement data, to judge whether N dental phenomenon meets rectification requirement.In some embodiments, each digital data sets produces based on last digit data set.
In some embodiments, said method also comprises: if N dental phenomenon meets rectification requirement, so N dental phenomenon is the dental phenomenon expected, thus obtains the first digital data sets sequence from the second digital data sets to N digital data sets, represents orthodontic plan.In some embodiments, the dental phenomenon expected refer to meet clinician according to patient's concrete condition the dental phenomenon that requires of the rectification of formulating.
In some embodiments, N can be the arbitrary integer of 3 ~ 50, such as 3,4,5,6,7,8,9,10,15,20,25,30,35,40 etc.In some embodiments, N is greater than 50 integers being less than 100, and such as 50,60,70,80 and 90.The concrete numerical value of N can be determined according to the concrete condition of patient.
In some embodiments, said method can also comprise: select the tooth that needs are corrected.Like this, just can not operate unchecked tooth, with deflated state space, improve search efficiency.
In some embodiments, said method can also comprise: at least one tooth selects at least one operational character.Like this, the operation that can only select this tooth, does not carry out other operations, with deflated state space, improves search efficiency.In some embodiments, can be that a tooth selects more than one operational character.Such as, be that tooth is selected along the operational character of X-axis forward translation and the operational character that turns clockwise along Y-axis.In certain embodiments, can arrange and this two or more operational characters are applied to this tooth simultaneously, also can arrange each and an operational character is applied to this tooth.
In some embodiments, said method can also comprise: at least one operational character of at least one tooth arranges moving range.Such as, first tooth is set to 2mm along the scope of X-axis forward movement, and namely first tooth must not move more than 2mm along X-axis forward.Like this can deflated state space, improve search efficiency.
In some embodiments, said method can also comprise: specify orthodontic order.Such as, specify and first correct first and the 12 tooth simultaneously, then correct the 3rd and the 8th tooth simultaneously.Like this can deflated state space, improve search efficiency.
In some embodiments, said method can also comprise: at least one operational character of at least one tooth arranges step value.Such as, the step value that translation accords with can be set to value, such as 0.05mm, 0.1mm, 0.2mm, 0.3mm, 0.4mm, 0.5mm, 1mm, 1.5mm, 2mm etc. between 0.05 ~ 2mm.More preferably, the step value that translation accords with can be set to value, such as 0.2mm, 0.25mm, 0.3mm etc. between 0.2 ~ 0.3mm.Such as, the step value that rotating operation accords with can be set to a value between 0.05 ~ 5 °, such as 0.05 °, 0.1 °, 0.15 °, 0.2 °, 0.3 °, 0.4 °, 0.5 °, 1 °, 1.5 °, 2 °, 2.5 °, 3 °, 3.5 °, 4 °, 4.5 °, 5 ° etc.More preferably, the step value that rotating operation accords with can be set to a value between 1 ~ 3 °, such as 1 °, 1.5 °, 2 °, 2.5 °, 3 ° etc.In some embodiments, to the same operation symbol of different dental, can different step values be set respectively.
In some embodiments, state space search method is heuristic search method, and said method can also comprise: provide evaluation function, and this heuristic search method is based on this evaluation function.
In some embodiments, evaluation function can comprise at least one in following parameter: crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
In some embodiments, said method can be implemented for a tooth, namely only has a tooth to need adjustment, also can implement for some teeth in denture, can also implement for whole denture.
The another aspect of the application provides a kind of manufacture for adjusting the method for the dental appliance of tooth position, and it comprises: utilize a digital data sets in the first digital data sets sequence to produce corresponding positive tooth models type; And in this positive tooth models type, form corresponding negative norm type, as the dental appliance of adjustment tooth position.In some embodiments, negative norm type can make of polymer flake, such as elastomeric propylene acid resin.
The another aspect of the application provides a kind of manufacture for adjusting the method for the dental appliance of tooth position, and it comprises: utilize the first digital data sets sequence to produce corresponding a series of positive tooth models types successively; And in this series of positive tooth models type successively, form corresponding a series of negative norm types successively, as the dental appliance of adjustment tooth position.
The another aspect of the application provides a kind of manufacture for adjusting the method for the dental appliance of tooth position, and it comprises: utilize several digital data sets in the first digital data sets sequence to produce the positive model of several corresponding teeth; And in the positive model of these several teeth, form several corresponding negative norm types, as the dental appliance of adjustment tooth position.
In some embodiments, a digital data sets can be utilized on digital machine directly to produce a corresponding tooth negative norm type as dental appliance.
In some embodiments, the generation of digital data sets can be guided with rectification achievement data.Such as, after applying an operational character to a tooth, if dental phenomenon is closer to rectification requirement, so can continue to apply this operational character to this tooth at next step, otherwise, this operational character can not be applied to this tooth when producing next digital data sets.
In some embodiments, the process of orthodontic can be carried out in segmentation.Such as, the first digital data sets sequence represented from the correct dental phenomenon of the first dental phenomenon to the first is first produced.The orthodontic apparatus successively of respective amount is made according to several digital data sets successively above.Then, the concrete condition of the dental appliance made according to these digital data sets is worn, the correlation parameter of adjustment state space search method, such as according to user, the tooth needing adjustment can be reselected, again such as, the step value of operational character can be adjusted, again such as, rectification achievement data can be adjusted, again such as, rectification order can be adjusted, etc.Again based on the up-to-date dental phenomenon of user, produce the second digital data sets sequence represented from the correct dental phenomenon of this up-to-date dental phenomenon to the second.The orthodontic apparatus making respective amount according to the second digital data sets sequence is worn for user.Customized object can be realized like this, more suitably to treat.
The another aspect of the application provides a computer-readable medium, this computer-readable medium is loaded with a computer program, this computer program makes computing machine perform the method producing the digital data sets representing dental phenomenon after being performed by computing machine, the method comprises: obtain the first digital data sets representing tooth first state; There is provided at least one operational character, for revising the digital data sets representing dental phenomenon; And utilization state space search method and operational character, based on the first digital data sets, produce the second digital data sets of expression second dental phenomenon.
In some embodiments, above-mentioned method it can also comprise: orthodontic achievement data is provided; And judge whether the second digital data sets mates with rectification achievement data, to judge whether the second dental phenomenon meets the rectification requirement of correcting representated by achievement data.
In some embodiments, said method also comprises: utilization state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produces the N digital data sets of expression N dental phenomenon, wherein, N be greater than 2 integer; And judge whether N digital data sets mates with rectification achievement data, to judge whether N dental phenomenon meets rectification requirement.In some embodiments, each digital data sets produces based on last digit data set.
In some embodiments, said method also comprises: if N dental phenomenon meets rectification requirement, so N dental phenomenon is the dental phenomenon expected, thus obtains the first digital data sets sequence from the second digital data sets to N digital data sets, represents orthodontic plan.
The another aspect of the application provides a kind of computer system of the digital data sets for generation of expression dental phenomenon, it comprises a central processing unit and a memory storage, wherein, this memory storage is loaded with computer program, this computer program makes computer system implement to produce the method for the digital data sets representing dental phenomenon after being performed by central processing unit, the method comprises: obtain the first digital data sets representing tooth first state; There is provided at least one operational character, for revising the digital data sets representing dental phenomenon; And utilization state space search method and operational character, based on the first digital data sets, produce the second digital data sets of expression second dental phenomenon.
In some embodiments, above-mentioned method it can also comprise: orthodontic achievement data is provided; And judge whether the second digital data sets mates with rectification achievement data, to judge whether the second dental phenomenon meets the rectification requirement of correcting representated by achievement data.
In some embodiments, said method also comprises: utilization state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produces the N digital data sets of expression N dental phenomenon, wherein, N be greater than 2 integer; And judge whether N digital data sets mates with rectification achievement data, to judge whether N dental phenomenon meets rectification requirement.In some embodiments, each digital data sets produces based on last digit data set.
In some embodiments, said method also comprises: if N dental phenomenon meets rectification requirement, so N dental phenomenon is the dental phenomenon expected, thus obtains the first digital data sets sequence from the second digital data sets to N digital data sets, represents orthodontic plan.
In some embodiments, if there is tooth collision in a dental phenomenon, so represent that the digital data sets of this dental phenomenon can not be used to produce other digital data sets, collide to avoid the tooth in orthodontic therapeutic process.
The method of the application is more flexible compared with traditional method, can realize customized better, more can adapt to the various different situation of patient, and then realize better treatment.
Accompanying drawing explanation
Be described in detail below in conjunction with the specific embodiment of accompanying drawing to the application, wherein:
Fig. 1 utilizes heuristic search method manufacture for adjusting the process flow diagram of the method for the dental appliance of tooth position in the application's embodiment.
Fig. 2 produces with state space search method the process flow diagram representing the method for the digital data sets of dental phenomenon in the application's embodiment.
Fig. 3 be case 1 on cut jaw schematic diagram.
Fig. 4 a is the upper jaw jaw face view of case 2.
Fig. 4 b is the upper jaw front view of case 2.
Fig. 4 c is the lower jaw jaw face view of case 2.
Fig. 4 d is the lower jaw front view of case 2.
Fig. 5 is the schematic diagram for generation of the computer system of the digital data sets of expression dental phenomenon in the application's embodiment.
Embodiment
In some embodiments, heuristic search method can be adopted.The evaluation function of heuristic search can include but not limited at least one of following parameter: crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
In some embodiments, in heuristic search method, can to the corresponding weighted value w of above each variable set up
a, w
b, w
c, w
d, w
e, w
f, w
g, w
h, w
i.Therefore have:
f(n)＝{a
n*w
a，b
n*w
b，c
n*w
c，d
n*w
d，e
n*w
e，f
n*w
f，g
n*w
g，h
n*w
h，i
n*w
i}
In some embodiments, a threshold value G can be preset, for comparing the result of calculation of f (n), whether enough good with decision node n.
In one embodiment, first scanning modeling is carried out to patient's tooth jaw, and need the tooth corrected to determine its coordinate figure (x, y, z) to every.The step value of translation symbol is set to 0.2mm, the step value of rotation process symbol is set to 1 °.For a tooth, based on above-mentioned mentioned operational character, 729 permutation and combination can be formed:
(x11, y11, z11)---wherein x11 represents X-direction and to shuffle δ (δ=0.2), and rotates forward ω (ω=1 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x12, y11, z11)---wherein x12 represents X-direction and to shuffle δ (δ=0.2), and does not turn (ω=0 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x13, y11, z11)---wherein x3 represents X-direction and to shuffle δ (δ=0.2), and turns (ω=-1 °) around X-direction is negative; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x21, y11, z11)---wherein x21 represents X-direction and does not move (δ=0), and rotates forward ω (ω=1 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x22, y11, z11)---wherein x22 represents X-direction and does not move (δ=0), and does not turn (ω=0 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x23, y11, z11)---wherein x23 represents X-direction and does not move (δ=0), and turns ω (ω=-1 °) around X-direction is negative; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x31, y11, z11)---wherein x31 represents that X-direction is negative moves δ (δ=-0.2), and rotates forward ω (ω=1 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x32, y11, z11)---wherein x32 represents that X-direction is negative moves δ (δ=-0.2), and does not turn (ω=0 °) around X-direction; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x33, y11, z11)---wherein x33 represents that X-direction is negative moves δ (δ=-0.2), and turns ω (ω=-1 °) around X-direction is negative; Y11 represents Y direction and to shuffle δ, and rotates forward ω (ω=1 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x11, y12, z11)---wherein x11 represents X-direction and to shuffle δ (δ=0.2), and rotates forward ω (ω=1 °) around X-direction; Y12 represents Y direction and to shuffle δ, and does not turn (ω=0 °) around Y direction; Z11 represents Z-direction and to shuffle δ, and rotates forward ω (ω=1 °) around Z-direction;
(x33, y33, z33)---wherein x33 represents that X-direction is negative moves δ (δ=-0.2), and turns ω (ω=-1 °) around X-direction is negative; Y33 represents that Y direction is negative moves δ (δ=-0.2), and turns ω (ω=-1 °) around Y direction is negative; Z33 represents that Z-direction is negative moves δ (δ=-0.2), and turns ω (ω=-1 °) around Z-direction is negative.
For all teeth that need correct, the permutation and combination of operation forms an array as shown in table 1 below:
| Group | Tooth 1 | Tooth 2 | Tooth 3 | ...... | Tooth m |
| 1 | (x11，y11，z11) | (x11，y11，z11) | (x11，y11，z11) | ...... | (x11，y11，z11) |
| ...... | ...... | ...... | ...... | ...... | ...... |
| 729 | (x33，y33，z33) | ...... | ...... | ...... | ...... |
| ...... | (x11，y11，z11) | (x12，y11，z11) | (x11，y11，z11) | ...... | (x11，y11，z11) |
| ...... | ...... | ...... | ...... | ...... | ...... |
| 729 m | (x33，y33，z33) | (x33，y33，z33) | (x33，y33，z33) | ...... | (x33，y33，z33) |
Table 1
In some embodiments, an available six-vector represents global function operational character:
O＝{[dx，dy，dz，dα，dβ，dγ]|dx∈{0，+1，-1}...}
Wherein, dx, dy, dz represent that tooth is in the axial translation of x, y, z respectively, and d α, d β, d γ represent the rotation of tooth around x, y, z axle respectively.
Can transform matrix M be obtained:
After applying an operational character to a tooth, on this tooth, certain any coordinate is transformed to by [x, y, z, 1] before moving:
[x ', y ', z ', 1] and=[x, y, z, 1] * M equation (two)
In addition, for reducing calculated amount, the tooth of rectification can be needed according to the condition selecting of tooth, for needing the tooth corrected to select corresponding operational character, being the setting of this tooth and making correction for direction, for needing the tooth setting levelling thickness range corrected, and specify rectification order, with deflated state space.
In one embodiment, can for the step value of the independent setting operation symbol of tooth.Such as, the step value of the operational character along the movement of X-axis forward of tooth 1 is set to 0.2mm, the step value of the operational character along the movement of X-axis forward of tooth 3 is set to 0.1mm.
In one embodiment, to choosing the opereating specification of the operational character of tooth to set separately.Such as, the range set along the movement of X-axis forward of tooth 1 for being no more than 2mm, the range set along the movement of X-axis forward of tooth 3 for being no more than 1mm.
Please refer to the drawing 1, illustrates in the application's embodiment and utilizes the manufacture of heuristic search method for adjusting the process flow diagram of the method 100 of the dental appliance of tooth position.In 101, obtain the first digital data sets representing tooth first state.Wherein, represent that the digital data sets of dental phenomenon is the digitized representations of this dental phenomenon three-dimensional structure.In some embodiments, a digital data sets can comprise multiple digital data sets, and each these digital data sets can represent the information such as profile, position, angle of a corresponding tooth.Known to industry those skilled in the art, the data structure of digital data sets can have the setting that many kinds are different, repeats no more herein.
In 103, provide at least one operational character.Wherein, each operational character represents an operation, such as moves, rotates, proximal surface removes glaze etc.When an operation acts on the digital data sets of a corresponding tooth, change current digital data collection is obtained new digital data sets, the dental phenomenon that this new numerical data set representations carries out corresponding operation to this tooth and obtains on the basis of current dental state.
In 105, provide evaluation function.Wherein, this evaluation function can comprise at least one following parameter: crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
In 107, provide rectification achievement data, as judging whether dental phenomenon meets the foundation of correcting and requiring.In some embodiments, rectification achievement data can comprise the scope to choosing setting parameter, and such as Anterior overjet is 2 ~ 4mm.
In 109, select the tooth needing adjustment, with deflated state space.User or doctor can determine that by the 3D rendering or model observing current dental state which tooth needs adjustment.
In 111, for each tooth chosen selects at least one operational character, with deflated state space.The tooth that user or doctor can determine to need which operational character to adjust each by the 3D rendering or model observing current dental state and choose.
In 113, for the tooth that each is chosen, it is the operational character setting range that each is chosen.User or doctor can determine these scopes by the 3D rendering or model observing current dental state.
In 115, based on the scope of the first digital data sets, the tooth chosen, the operational character chosen and setting, utilize the heuristic search method based on evaluation function and operational character, produce the first digital data sets sequence from the second digital data sets to N digital data sets successively.Wherein, N digital data sets represents the N dental phenomenon meeting and correct and require.First digital data sets sequence represents a rectification plan.In some embodiments, determined to correct order before search starts, with deflated state space, reduce calculated load.
In some embodiments, each amended digital data sets and last digit data set can be compared, to judge that it is close to target or wide.If close to target, then continue identical operation, if wide, then stop this operation.
In some embodiments, each digital data sets carries out state space search based on last digit data set and produces.
In 117, select one of the digital data sets sequence produced in 115 as the plan of correcting.In some embodiments, digital data sets sequence can be selected according to the concrete condition of patient.
In 119, produce a series of positive tooth model successively according to the digital data sets sequence selected.In some embodiments, the method for available laser rapid shaping makes positive tooth model.
In 121, a series of positive tooth models successively obtained by 119 form a series of negative tooth model successively, as the dental appliance of adjustment tooth position.Wherein, the method positive tooth model forming negative tooth model can join the paper " THEVACUUMFORMEDDENTALCONTOURAPPLIANCE " etc. delivered by HenryINahoum.
In one embodiment, two table: OPEN can be arranged show and CLOSED table.The node (state) waiting to expand and investigate is deposited, the node (state) deposited expansion or investigated in CLOSED table in OPEN table.In one embodiment, the structure of OPEN table is as shown in table 2, and the structure of CLOSED table is as shown in table 3.
Table 2
Table 3
Fig. 2 illustrates the process flow diagram representing the method 300 of the digital data sets of dental phenomenon in the application's embodiment.Method 300 comprises:
In 301, obtain the first digital data sets representing tooth first state.In one embodiment, the first digital data sets can obtain from computer-readable medium, also can from Network Capture.
In 303, provide rectification achievement data according to user instruction.In one embodiment, correct achievement data and can comprise the scope set for one or more orthodontic correlation parameter.
In 305, provide at least one operational character, for revising the digital data sets representing dental phenomenon.
In 307, the tooth (307a) needing to correct is selected according to user instruction, be that the tooth that each is chosen selects at least one operational character (307b) according to user instruction, scope (307c) is set according to each operational character chosen that user instruction is each tooth chosen, specifies according to user instruction and correct order (307d).
In 307a, from the tooth provided, select the tooth needing to correct.Like this, just can only adjust selected tooth and keep other teeth constant in state space search, thus reduce the space of search, improve search efficiency.
In 307b, at least one selected tooth selects one or more operational character.Like this, in state space search, only can apply by the operational character selected a tooth, thus reduce the space of search, improve search efficiency.
In 307c, for each selected operational character setting range of each selected tooth.Like this, in state space search, only can search for the node within the scope of these, thus reduce the space of search, improve search efficiency.
In 307d, specify and correct order.Such as, specify first simultaneously straightening of teeth 1,2,3, then straightening of teeth 4,5,6 simultaneously.Like this, the number of nodes in state space can be reduced, deflated state space, thus improve search efficiency.
In 309, set up OPEN and CLOSED table, and representing that the first digital data sets of tooth first state adds OPEN table.
In 311, check whether OPEN table is empty, if OPEN table is not empty, skips to 313, if OPEN table is for empty, indicates without solution, skips to 319 end.
In 313, judge in OPEN table, whether each node meets rectification requirement according to correcting achievement data.If do not have node to meet rectification requirement in OPEN table, skip to 315 expanding nodes, if having node to meet rectification requirement in OPEN table, then skip to 317 inquiries and whether terminate.In some embodiments, if find a digital data sets mated with rectification achievement data, then export from the first digital data sets successively to the digital data sets sequence of this digital data sets.
In 315, present node is moved to CLOSED table, and for current digital data collection apply operator, to produce next stage node.New node is recorded in OPEN table.
In 317, whether inquiry user terminates computing, if receive the instruction that user terminates computing, skips to 319 end, if receive the instruction that user continues computing, skips to 315 expanding nodes.
Example 1
Fig. 3 be case 1 on cut jaw schematic diagram, tooth 401 is normal, and tooth 402 needs to turn clockwise around z-axis, and moves along x-axis forward, may also need to move along y-axis.
In this case, can dental arch symmetry as rectification index.In one embodiment, two reference point a and b can be got on tooth 402, accordingly, tooth 401 also be got two corresponding reference point c and d.Be that axis of symmetry maps tooth 402 with y-axis, obtain tooth 402 ', and reference point a ' and b '.Measure symmetry with straight line a ' c and b ' d length sum, its value is less, and symmetry is higher.In this example embodiment, if correcting achievement data is that a ' c and b ' d length sum is less than 0.5 millimeter, namely straight line a ' c and b ' d length sum is less than 0.5 millimeter and just meets rectification requirement.
Example 2
Fig. 4 a is the upper jaw jaw face view of case 2, and Fig. 4 b is the upper jaw front view of case 2, and Fig. 4 c is the lower jaw jaw face view of case 2, and Fig. 4 d is the lower jaw front view of case 2.
This case be tooth 521 lip to inclination, front depth of threat is laminating.Tooth 511 position is normal, has enough gaps to hold tooth 521 between tooth 511 and 522.The scheme of rescuing is tooth 521 Linguoclination, and tongue is to adduction, positive axis and elongation, and aligning, forces down tooth 531 and 532, leveling arch simultaneously, coordinates tooth 521 to move.
For tooth 521, can tooth 511 be reference, correct that achievement data can comprise that labial teeth is laminating, Anterior overjet, torque, shaft rake, incisor incisxal edge and biteplane distance etc.
For tooth 531 and 532, can tooth 541 and 542 be reference, correct that achievement data can comprise that labial teeth is laminating, the distance etc. of incisor incisxal edge and biteplane.
Fig. 5 illustrates the computer system 600 for generation of the digital data sets of expression dental phenomenon in the application's embodiment.Computer system 600 comprises the processor 601, internal memory 603, memory storage 605 and the input/output device 607 that are connected by bus 609.
A computer program (not shown) is stored, when making the part producing the digital data sets representing dental phenomenon in processor 601 implementation method 100 or 300 after this computer program is performed by processor 601 in memory storage 605.
Input/output device 607 can comprise keyboard, mouse, display and various IO interface, and such as network interface, USB interface, IEEE1394 interface, E-SATA interface etc., can realize the exchange of man-machine interaction and data.
Although be described above the various embodiments of disclosed method and apparatus, should be understood that, they are only provide in an illustrative manner, instead of provide in a restricted way.Equally, each chart can illustrate exemplary architecture or other configurations of disclosed method and apparatus, and it contributes to understanding the Characteristic and function that can be included in disclosed method and apparatus.Claimed invention is not limited to shown exemplary architecture or configuration, and desired feature can realize with various alternative architecture and configuration.In fact, how those skilled in the art very clear can implement to substitute if being functional, logicality or division physically and configuration, to realize feature needed for disclosed method and apparatus.And other comprising modules titles multiple shown in being different from here also can be applied to different divisions.In addition, for process flow diagram, functional descriptions and claim to a method, square frame order given here should not be limited to be implemented to perform described functional various embodiment, unless the context requires explicitly pointing out with same order.
Although describe disclosed method and apparatus with various exemplary embodiment and embodiment above, should be understood that, various features, aspect and function described in one or more embodiments are in various embodiments not limited to their application in described specific embodiment, but can individually or with various Combination application one or more embodiments in other embodiments of disclosed method and apparatus, no matter whether this embodiment describes, and also no matter whether this feature is expressed as a part for described embodiment.Therefore, the popularity of claimed invention and scope should not limited by described embodiment above.
Claims (11)
1., for generation of a method for the digital data sets of expression dental phenomenon, it comprises:
Obtain the first digital data sets of expression first dental phenomenon;
There is provided state space search method with at least one for revising the operational character representing dental phenomenon digital data sets;
Utilize described state space search method and described operational character, state space search is carried out based on described first digital data sets, produce the second digital data sets of expression second dental phenomenon, wherein said second dental phenomenon is a rear dental phenomenon of described first dental phenomenon;
From front to back the like, N-1 digital data sets based on expression N-1 dental phenomenon carries out state space search, obtain the N digital data sets of expression N dental phenomenon, wherein N be greater than 2 integer, and described N dental phenomenon is a rear dental phenomenon of described N-1 dental phenomenon;
Described N digital data sets and orthodontic achievement data are contrasted, to judge whether described N dental phenomenon meets the rectification index representated by described orthodontic achievement data; And
If described N dental phenomenon meets described rectification index, so described N dental phenomenon is the target tooth state expected, thus obtains the first digital data sets sequence from described second digital data sets to described N digital data sets.
2. the method for claim 1, is characterized in that, it also comprises: select the tooth that needs are corrected.
3. method as claimed in claim 2, it is characterized in that, it also comprises: the tooth corrected for needs selects at least one operational character.
4. method as claimed in claim 3, it is characterized in that, it also comprises: the tooth corrected for needs arranges moving range.
5. the method for claim 1, is characterized in that, it also comprises: for described operational character arranges step value.
6. the method for claim 1, it is characterized in that, described orthodontic achievement data comprises at least one in following parameter: dental arch curve, crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
7. the method for claim 1, is characterized in that, it also comprises: provide evaluation function, and described state space search method is the heuristic search method based on this evaluation function.
8. method as claimed in claim 7, it is characterized in that, described evaluation function comprises at least one in following parameter: crowding, Anterior overjet, labial teeth are laminating, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
9. the method for claim 1, it is characterized in that, described operational character comprises following at least one: along the translation of X-axis forward, along the translation of X-axis negative sense, along the translation of Y-axis forward, along the translation of Y-axis negative sense, along the translation of Z axis forward, along the translation of Z axis negative sense, turn clockwise, be rotated counterclockwise around X-axis, turn clockwise around Y-axis, be rotated counterclockwise around Y-axis, turn clockwise around Z axis, be rotated counterclockwise and their combination in any around Z axis around X-axis.
10. manufacture a method for the dental appliance for adjusting tooth position, it comprises:
Obtain the first digital data sets of expression first dental phenomenon;
There is provided state space search method with at least one for revising the operational character of the digital data sets representing dental phenomenon;
Utilize described state space search method and described operational character, state space search is carried out based on described first digital data sets, produce the second digital data sets of expression second dental phenomenon, wherein said second dental phenomenon is a rear dental phenomenon of described first dental phenomenon;
From front to back the like, N-1 digital data sets based on expression N-1 dental phenomenon carries out state space search, obtain the N digital data sets of expression N dental phenomenon, wherein N be greater than 2 integer, and described N dental phenomenon is a rear dental phenomenon of described N-1 dental phenomenon;
Described N digital data sets and orthodontic achievement data are contrasted, to judge whether described N dental phenomenon meets the rectification index representated by described orthodontic achievement data;
If described N dental phenomenon meets described rectification index, so described N dental phenomenon is the target tooth state expected, thus obtains the first digital data sets sequence from described second digital data sets to described N digital data sets;
Described first digital data sets sequence is utilized to produce corresponding a series of positive tooth models types; And
Described a series of positive tooth models type forms corresponding a series of negative norm types, as the dental appliance of adjustment tooth position.
11. 1 kinds of manufactures are for adjusting the method for the dental appliance of tooth position, and it comprises:
Obtain the first digital data sets of expression first dental phenomenon;
There is provided state space search method with at least one for revising the operational character of the digital data sets representing dental phenomenon;
Utilize described state space search method and described operational character, state space search is carried out based on described first digital data sets, produce the second digital data sets of expression second dental phenomenon, wherein said second dental phenomenon is a rear dental phenomenon of described first dental phenomenon;
From front to back the like, N-1 digital data sets based on expression N-1 dental phenomenon carries out state space search, obtain the N digital data sets of expression N dental phenomenon, wherein N be greater than 2 integer, and described N dental phenomenon is a rear dental phenomenon of described N-1 dental phenomenon;
Described N digital data sets and orthodontic achievement data are contrasted, to judge whether described N dental phenomenon meets the rectification index representated by described orthodontic achievement data;
If described N dental phenomenon meets described rectification index, so described N dental phenomenon is the target tooth state expected, thus obtains the first digital data sets sequence from described second digital data sets to described N digital data sets;
Several digital data sets in described first digital data sets sequence are utilized to produce the positive model of several corresponding teeth; And
The positive model of several teeth described forms several corresponding negative norm types, as the dental appliance of adjustment tooth position.
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| CN103932807B (en) * | 2013-01-18 | 2016-10-05 | 无锡时代天使医疗器械科技有限公司 | Obtain tooth target and rescue the method for state, dental appliance manufacture method and dental appliance |
| DE102013107120A1 (en) | 2013-07-05 | 2015-01-08 | Endress + Hauser Gmbh + Co. Kg | Signal generator for a measuring device and measuring device for automation technology |
| CN103800086B (en) * | 2014-03-03 | 2016-08-31 | 史建陆 | A kind of preparation method of personalized words orthodontic appliance |
| CN105266905B (en) * | 2014-07-17 | 2019-12-24 | 上海时代天使医疗器械有限公司 | Tooth correcting system suitable for mixed dentition and manufacturing method thereof |
| CN105496573B (en) * | 2014-09-23 | 2019-09-13 | 上海时代天使医疗器械有限公司 | The method and the attachment of orthodontic attachment are provided |
| CN104398308A (en) * | 2014-12-17 | 2015-03-11 | 上海正雅齿科科技有限公司 | Method for machining individual bracket |
| CN106137414B (en) * | 2015-04-14 | 2020-10-27 | 上海时代天使医疗器械有限公司 | Method and system for determining target dentition layout |
| CN106725919A (en) * | 2015-11-20 | 2017-05-31 | 天津正丽科技有限公司 | A kind of manufacture method of stealthy dental aligners and its formpiston |
| CN107357946B (en) * | 2016-05-10 | 2022-10-21 | 无锡时代天使医疗器械科技有限公司 | Method for verifying shell-shaped dental instrument manufacturing process based on hot-pressing film forming technology |
| CN113693747B (en) * | 2020-05-21 | 2023-03-24 | 广州黑格智造信息科技有限公司 | Automatic 3D dental model straightening method, system, device and storage medium |
| CN111823595B (en) * | 2020-07-01 | 2022-04-08 | 四川大学 | Personalized intraoral stent for deep-covered crowds |
| CN112884882B (en) * | 2021-01-21 | 2022-11-11 | 上海埃蒙迪材料科技股份有限公司 | Tooth arrangement step-by-step method, device and electronic equipment |
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