CN102456089A - Method for manufacturing dental instrument for regulating position of tooth - Google Patents
Method for manufacturing dental instrument for regulating position of tooth Download PDFInfo
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- CN102456089A CN102456089A CN201110322561XA CN201110322561A CN102456089A CN 102456089 A CN102456089 A CN 102456089A CN 201110322561X A CN201110322561X A CN 201110322561XA CN 201110322561 A CN201110322561 A CN 201110322561A CN 102456089 A CN102456089 A CN 102456089A
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Abstract
The invention discloses a method for manufacturing a dental instrument for regulating the position of a tooth, namely the method for generating a digital dataset which represents a tooth state. The method comprises the following steps of: acquiring a first digital dataset which represents a first tooth state; providing at least one operator for modifying the digital dataset which represents the tooth state; performing state space searching based on the first digital dataset by utilizing a state space searching method and the operator to obtain a second digital dataset which represents a second tooth state; obtaining an Nth digital dataset which represents an Nth tooth state by the same method, wherein N is an integer more than 2; and comparing the Nth digital dataset with correction index data to judge whether the Nth tooth state meets a correction index or not.
Description
Technical field
The application is the auxiliary method of making the dental appliance that is used to adjust tooth position of relevant mouth cavity orthodontic field, especially relevant calculation machine.
Background technology
Traditional dental orthodontic treatment is through devices such as bonding band, bracket on tooth, utilizes orthotic 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; The clinician needs the training of long period progressively to grasp should technology; Each further consultation doctor will spend plenty of time adjusting appliance, rescues the process complicacy.For traditional bracket rectifier, technology is rescued in stealth does not need bracket and arch wire, employing be a series of stealthy appliances.The stealthy appliance of this kind is processed by the elasticity transparent polymer material of safety, the process of rescuing is not almost had other people discover middle completion, does not influence daily life and social activity.Simultaneously, do not had the bonding bracket, adjusted the loaded down with trivial details of arch wire, clinical manipulation is simplified greatly, and the whole treatment process saves time and be laborsaving.Therefore the stealthy correcting method of at present no bracket is adopted by increasing people.
Stealthy appliance is the product that Computer-aided Design Technology, rapid shaping technique and new material combine.It is a kind of transparent, can pluck the appliance of wearing voluntarily.The same with traditional appliance, stealthy appliance also moves tooth through on tooth, applying suitable, controllable power.Executing the doctor can be through the computer simulation correcting process, and uses the medical elastic transparent polymer material to be appliance of each process making.The whole treatment process is used this a series of appliances exactly instead, is wearing the time spent at every turn, and tooth all can have stressed sensation, and moves to the position of this appliance design.Every one-period (such as two weeks) of crossing is changed next secondary appliance, and tooth will move to the normal alignment state gradually from initial deformities, thereby reaches rectifying effect.
The making of stealthy appliance has through compacting one by one behind manual row's tooth generation model at present, or through generating digital model behind the computer simulation row tooth, makes through rapid laser-shaping technique.Manual row's tooth is after obtaining patient's tooth jaw die and processing plaster cast, the tooth that needs are rescued arrangements that be shifted, and suppress stealthy appliance according to the model that the teeth arrangement after being shifted is processed.Its shortcoming is that the tooth mobile accuracy is not enough, and production efficiency is low, is difficult to realize mass customized.Present computer simulation row tooth method is to obtain earlier at last or the target tooth state, then according to original dental phenomenon and last dental phenomenon, obtains a plurality of middle dental phenomenons through method of interpolation.In case its shortcoming is to confirm last dental phenomenon, middle dental phenomenon is just definite, avoids tooth to collide in the orthodontic process so be difficult in, and the different operating that is difficult to same tooth is provided with step-length individually.Therefore, need a kind of row's tooth method that has efficient and flexible characteristics concurrently.
Summary of the invention
The application's one side provides a kind of method that produces the digital data sets of expression dental phenomenon, and it comprises: first digital data sets that obtains expression tooth first state; At least one operational character is provided, is used to revise the digital data sets of expression dental phenomenon; And utilize state space search method and operational character, based on first digital data sets, produce 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 include only the single tooth tooth.In some embodiments, dental phenomenon can comprise many teeth.
The state space search method converts problem solving process into the process in the path of searching from the original state to the dbjective state.Can represent the state space search method with tlv triple: [S, O, G], wherein, S is the set of original state, and O is the operational character set, and G is the set of dbjective state.Current state is used the single job symbol, will cause the change of state, thereby reach a new state.
The set of all states can be represented with constitutional diagram.In constitutional diagram, some states are dbjective states, if we have found the path that is arrived dbjective state by initial state, problem has just obtained answer.Answer is exactly to arrive dbjective state in order to carry out the employed sequence of operations symbol of state exchange by initial state.If the path is the shortest, we can be this paths optimum solution.
State space search commonly used has depth-first and breadth First.Breadth First is in layer to look for downwards from original state, till finding target.Depth-first is to have searched a branch in a certain order earlier, searches another branch again.The breadth and depth first search that the front is said all is blind search.The state space search method also comprises heuristic search.
Heuristic search is that the search in state space is assessed the node of each search, obtains best node, searches for up to target from this node again.Can improve search efficiency like this.
Appraisal to node in the heuristic search representes that with evaluation function evaluation function can be represented in order to following equation:
F (n)=g (n)+h (n) equation ()
Wherein f (n) is the evaluation function of node n, and g (n) is the actual cost from start node to the n node in state space, and h (n) is the estimation cost from n to the destination node optimal path.Here mainly be the heuristic information that h (n) has embodied search, and g (n) is known.G (n) has represented the preferential trend of the range of search.But when h (n)＞＞during g (n), can omit g (n), and raise the efficiency.In the practical application, newly-generated a collection of node is calculated evaluation function, relatively result of calculation is got the minimum node of assessment values and is continued search as new starting point, up to reaching destination node.
Can formulate the orthodontic treatment plan with the state space search method.Wherein, original state is patient's an original dental phenomenon; The operational character set can comprise that blank operation, exodontia, proximal surface go glaze, translation, rotation etc.; Dbjective state set is the set that meets the dental phenomenon that rectification that the clinician works out requires.
In this application, under most of situation, node, state and digital data sets can exchange use.
Operational character is a kind of discrete calculation machine arithmetic operation.When on a tooth, using an operational character, computing machine will be revised the digital data sets of the current dental phenomenon of expression accordingly, obtain the digital data sets of the dental phenomenon of this tooth of expression after by corresponding operating.Such as; When being chosen in the operational character of using on first tooth along X axle forward translation 1mm; Computing machine will be revised the digital data sets of the current dental phenomenon of expression, amended digital data sets be illustrated on the basis of current dental phenomenon first tooth along the translation of X axle forward the dental phenomenon behind the 1mm.
In some embodiments, operational character comprises following at least one: along the translation of X axle forward, along the translation of X axle negative sense, along the translation of Y axle forward, along the translation of Y axle negative sense, along the translation of Z axle forward, along the translation of Z axle negative sense, turn clockwise, be rotated counterclockwise, turn clockwise, be rotated counterclockwise, turn clockwise, be rotated counterclockwise and their combination in any around the Z axle around the Z axle around the Y axle around the Y axle around the X axle around the X axle.
In some embodiments, operational character can also comprise that facing face removes glaze.In some embodiments, proximal surface goes the glaze amount to set as follows.For premanillary teeth: 0.05～0.50mm/ enamel face; For upper jaw backteeth: 0.05～0.80mm/ enamel face; For the lower jaw labial 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 goes the glaze amount suitably to adjust according to patient's concrete condition.
In some embodiments, above-mentioned method it can also comprise: the orthodontic achievement data is provided; And judge whether whether second digital data sets matees with the rectification achievement data, meet the rectification requirement of correcting the achievement data representative to judge second dental phenomenon.
In some embodiments, correct achievement data and can comprise at least one preset range or the predetermined value in the following parameter: dental arch curve, crowding, labial teeth cover, labial teeth is laminated with, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
When the rectification achievement data comprises the preset range of an above-mentioned parameter,, just think that this dental phenomenon has met rectification and required the requirement to this parameter as long as the value of this parameter of dental phenomenon is positioned at this preset range.
When the rectification achievement data comprises the predetermined value of an above-mentioned parameter,, just think that this dental phenomenon has met rectification and required the requirement to this parameter as long as the value of this parameter of dental phenomenon equals this predetermined value.
1, crowding a
n: the length of the existing radian of the summation of corona width and dental arch poor.If this value explains that for just the dental arch existence is crowded; If this value explains that for negative there is the gap in dental arch.If this value is 0, it is crowded to explain that dental arch does not exist, and does not also have the gap.The corona width is meant the nearly middle maximum diameter far away of corona.The existing arc length of dental arch is 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 length to the nearly middle camber line that contact point is done of offside mandibular first molar.During like equal labiad side of whole lower incisor or linguoclination, camber line should be measured along lower incisor dental shelf jacking row; The existing dental arch arc length of the upper jaw also is same acquisition.The crowding of normal denture should be 0, but also a scope can be set according to patient's concrete condition, as long as the crowding of this patient's denture is just thought within this scope meets the requirements.
2, labial teeth covers b
n: go up the horizontal range of incisor incisxal edge to the lower incisor labial surface.Normal labial teeth covers and is generally 2～4mm.
3, labial teeth is laminated with c
n: the lower incisor incisxal edge is put the distance of incisor incisxal edge point between the intersection point of lower incisor vertical line that labial surface is done.Generally speaking, labial teeth is laminated with less than cutting of facies labialis dentis before the lower jaw 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 that makes progress that lower incisor is cut ridge and other sound of baby talk point formation, claims the Spee curve again.The method of measuring bilateral mandibular dental arch Spee curve curvature is to measure dental arch and close the face minimum point constitutes the plane to cusp of cutting end with lower incisor and grinding one's teeth in sleep under last distance.Generally speaking, normal Spee curve curvature is 2mm.Leveling Spee curve curvature need consume the gap, and the computing method that consume gap value are: measure left side and right side Spee curve curvature respectively, institute's total addition is leveling dental arch or correction and closes the needed gap of curve divided by 2.
5, Bolton exponent e
n: the whole sounds of baby talk of the proportionate relationship of anterior teeth crown width summation and upperdental arch are preced with the proportionate relationship of width summation up and down.Can whether there be the inharmonic problem of corona width in the diagnosing patients upperdental arch with the Bolton index.Method is to measure the width of going up the lower jaw corona, draws following ratio:
6 anterior teeth crown width of 6 anterior teeth crown width of labial teeth ratio=lower jaw summation/upper jaw summation * 100%
Complete 12 anterior teeth crown width of 12 anterior teeth crown width of tooth ratio=lower jaw summation/upper jaw summation * 100%
The positive ordinary index of Bolton (Bolton, 1958) is:
The labial teeth ratio is 77.2 ± 0.22%
Full tooth ratio is 91.3 ± 0.26%
The normal Bolton index of compatriots:
The labial teeth ratio is 78.8% ± 1.72%
Full tooth ratio is 91.5% ± 1.51%.
Can judge the uncomfortable upper jaw or the lower jaw of occurring in of upperdental arch according to above ratio, for labial teeth or all the width of teeth is unusual.
6, dental arch symmetry f
n: earlier the palate centre joint is confirmed center line in last gnathode upper edge, measures the width of bilateral tooth of the same name to center line, and whether then can understand the dental arch left and right sides symmetrical, each tooth forward and backward of the same name of bilateral whether at grade, as not showing then on same plane that a side tooth has reach.
7, shaft rake g
n: tooth clinical crown major axis is an axial rake with closing the angle that the plane vertical line formed.The gum end of clinical crown major axis shaft rake when medium dip far away be on the occasion of, shaft rake is a negative value when mesial inclination.The shaft rake of normal occlusion mostly be on the occasion of.In some embodiments, the normal axis inclination such as the following table of each tooth are listed.
| 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: tooth clinical crown tangent line with close the angle that the plane vertical line formed and be called torque.Clinical crown tangent line gum end at the rear of closing the plane vertical line on the occasion of, otherwise be negative value.In some embodiments, the normal torque of each tooth such as following table are listed.
| 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: pass an imaginary line between two upper jaws or the infradentale.If two straight lines are overlapping up and down, explain that the upper and lower dentition center line is consistent; If two straight lines are not overlapping up and down, its difference is exactly a upper and lower dentition center line deflection.
10, dental arch bulging j
n: generally represent the dental arch bulging with lower incisor position.Can measure through X the end of a thread shadow and obtain.Reduce the dental arch bulging and can take the gap, otherwise can produce the gap.Chinese lower incisor bulging average is generally 96.5 ° ± 7.1.
11, arch width k
n: the measurement of arch width generally is divided into three sections to be carried out, and is respectively width between intercanine width, bicuspid, a width of grinding one's teeth in sleep.
(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) width of grinding one's teeth in sleep: reflection buccal segment width.Measure the width between the sixth-year molar central fovea of both sides.
In some embodiments, said method also comprises: utilize state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produce the N digital data sets of expression N dental phenomenon, wherein, N is the integer greater than 2; And judge whether whether the N digital data sets matees with the rectification achievement data, meet the rectification requirement to judge the N dental phenomenon.In some embodiments, each digital data sets is based on the generation of last digit data set.
In some embodiments; Said method also comprises: if the N dental phenomenon meets the rectification requirement; The N dental phenomenon is the dental phenomenon of expectation so, thereby obtains the first digital data sets sequence from second digital data sets to the N digital data sets, the plan of expression orthodontic.In some embodiments, the dental phenomenon of expectation be meant meet the clinician according to patient's concrete condition the dental phenomenon that requires of the rectification of being formulated.
In some embodiments, N can be 3～50 arbitrary integer, such as 3,4,5,6,7,8,9,10,15,20,25,30,35,40 etc.In some embodiments, N can also be less than 100 integer, such as 50,60,70,80 and 90 greater than 50.The concrete numerical value of N can be confirmed according to patient's concrete condition.
In some embodiments, said method can also comprise: the tooth of selecting needs to correct.Like this, unchecked tooth just can not operated,, improved search efficiency with the deflated state space.
In some embodiments, said method can also comprise: at least one tooth is selected at least one operational character.Like this, other operations are not carried out in the operation that can only select this tooth, with the deflated state space, improve search efficiency.In some embodiments, can select an above operational character for a tooth.For example, be that a tooth is selected along the operational character of X axle forward translation and the operational character that turns clockwise along the Y axle.In certain embodiments, can be provided with this tooth is used this two or more operational characters simultaneously, also can be provided with each only to operational character of this dental applications.
In some embodiments, said method can also comprise: at least one operational character of at least one tooth is provided with moving range.Such as, first tooth is set to 2mm along the scope that X axle forward moves, and promptly first tooth must not move above 2mm along X axle forward.Like this can the deflated state space, improve search efficiency.
In some embodiments, said method can also comprise: specify the orthodontic order.For example, specify and correct first and the 12 tooth simultaneously earlier, correct the 3rd and the 8th tooth more simultaneously.Like this can the deflated state space, improve search efficiency.
In some embodiments, said method can also comprise: at least one operational character of at least one tooth is provided with step value.For example, can be made as a value between 0.05～2mm to the step value of translation symbol, such as 0.05mm, 0.1mm, 0.2mm, 0.3mm, 0.4mm, 0.5mm, 1mm, 1.5mm, 2mm etc.More preferably, can be made as a value between 0.2～0.3mm to the step value of translation symbol, such as 0.2mm, 0.25mm, 0.3mm etc.Such as; Can be made as a value between 0.05～5 ° to the step value of rotating operation symbol, 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, can be made as a value between 1～3 ° to the step value of rotating operation symbol, such as 1 °, 1.5 °, 2 °, 2.5 °, 3 ° etc.In some embodiments, the same operation symbol to different dental can be provided with different step values respectively.
In some embodiments, the state space search method is a heuristic search method, and said method can also comprise: evaluation function is provided, and this heuristic search method is based on this evaluation function.
In some embodiments, evaluation function can comprise at least one in the following parameter: crowding, labial teeth cover, labial teeth is laminated with, 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 to a tooth, promptly has only a tooth to need adjustment, also can implement to some teeth in the denture, can also implement to whole denture.
The application's another aspect provides a kind of manufacturing to be used to adjust 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 tooth positive model; And on this tooth positive model, form corresponding negative norm type, as the dental appliance of adjustment tooth position.In some embodiments, the negative norm type can be made with polymer flake, such as the elastomeric propylene acid resin.
The application's another aspect provides a kind of manufacturing to be used to adjust 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 tooth positive model one by one; And on these a series of tooth positive model one by one, form corresponding a series of negative norm types one by one, as the dental appliance of adjustment tooth position.
The application's another aspect provides a kind of manufacturing to be used to adjust the method for the dental appliance of tooth position, and it comprises: utilize the positive model that several digital data sets are produced several corresponding teeth in the first digital data sets sequence; And on the positive model of these several teeth, form several corresponding negative norm types, as the dental appliance of adjustment tooth position.
In some embodiments, can on digital machine, utilize a digital data sets directly to produce a corresponding tooth negative norm type as dental appliance.
In some embodiments, can guide the generation of digital data sets with the rectification achievement data.For example, after to operational character of a dental applications, if dental phenomenon can continue this operational character of this dental applications at next step more near correcting requirement so, otherwise, can be when producing next digital data sets not to this operational character of this dental applications.
In some embodiments, the process of orthodontic can be carried out in segmentation.Such as, produce the first digital data sets sequence of expression earlier from the correct dental phenomenon of first dental phenomenon to the first.Several digital data sets one by one according to the front are made the orthodontic apparatus one by one of respective amount.Then, wear concrete condition, the correlation parameter of adjustment state space search method according to the dental appliance of these digital data sets making according to the user; Such as, can reselect the tooth that needs adjustment, again such as; Can adjust the step value of operational character, again such as, can adjust the rectification achievement data; Again such as, can adjust the rectification order, or the like.Based on user's up-to-date dental phenomenon, produce the second digital data sets sequence of expression again from the correct dental phenomenon of this up-to-date dental phenomenon to the second.The orthodontic apparatus of making respective amount according to the second digital data sets sequence supplies the user to wear.Can realize customized purpose like this, more suitably to treat.
The application's another aspect provides a computer-readable medium; Be loaded with a computer program on this computer-readable medium; This computer program makes computing machine carry out the method that produces the digital data sets of representing dental phenomenon after being carried out by computing machine, and this method comprises: first digital data sets that obtains expression tooth first state; At least one operational character is provided, is used to revise the digital data sets of expression dental phenomenon; And utilize state space search method and operational character, based on first digital data sets, produce second digital data sets of expression second dental phenomenon.
In some embodiments, above-mentioned method it can also comprise: the orthodontic achievement data is provided; And judge whether whether second digital data sets matees with the rectification achievement data, meet the rectification requirement of correcting the achievement data representative to judge second dental phenomenon.
In some embodiments, said method also comprises: utilize state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produce the N digital data sets of expression N dental phenomenon, wherein, N is the integer greater than 2; And judge whether whether the N digital data sets matees with the rectification achievement data, meet the rectification requirement to judge the N dental phenomenon.In some embodiments, each digital data sets is based on the generation of last digit data set.
In some embodiments; Said method also comprises: if the N dental phenomenon meets the rectification requirement; The N dental phenomenon is the dental phenomenon of expectation so, thereby obtains the first digital data sets sequence from second digital data sets to the N digital data sets, the plan of expression orthodontic.
The application's another aspect provides a kind of computer system that is used to produce the digital data sets of representing dental phenomenon; It comprises a central processing unit and a memory storage; Wherein, Be loaded with computer program on this memory storage, this computer program makes computer system implement to produce the method for the digital data sets of representing dental phenomenon after being carried out by central processing unit, and this method comprises: first digital data sets that obtains expression tooth first state; At least one operational character is provided, is used to revise the digital data sets of expression dental phenomenon; And utilize state space search method and operational character, based on first digital data sets, produce second digital data sets of expression second dental phenomenon.
In some embodiments, above-mentioned method it can also comprise: the orthodontic achievement data is provided; And judge whether whether second digital data sets matees with the rectification achievement data, meet the rectification requirement of correcting the achievement data representative to judge second dental phenomenon.
In some embodiments, said method also comprises: utilize state space search method and operational character, based on the N-1 digital data sets of expression N-1 dental phenomenon, produce the N digital data sets of expression N dental phenomenon, wherein, N is the integer greater than 2; And judge whether whether the N digital data sets matees with the rectification achievement data, meet the rectification requirement to judge the N dental phenomenon.In some embodiments, each digital data sets is based on the generation of last digit data set.
In some embodiments; Said method also comprises: if the N dental phenomenon meets the rectification requirement; The N dental phenomenon is the dental phenomenon of expectation so, thereby obtains the first digital data sets sequence from second digital data sets to the N digital data sets, the plan of expression orthodontic.
In some embodiments,, represent that so the digital data sets of this dental phenomenon can not be used to produce other digital data sets, to avoid the tooth collision in the orthodontic therapeutic process if having the tooth collision in a dental phenomenon.
The application's method is compared more flexible with traditional method, can realize customizedly better, more can adapt to patient's various situation, and then realize better treatment.
Description of drawings
Below in conjunction with accompanying drawing the application's specific embodiment is made detailed description, wherein:
Fig. 1 utilizes the heuristic search manufactured to be used to adjust the process flow diagram of method of the dental appliance of tooth position among embodiment of the application.
Fig. 2 is the process flow diagram of method that produces the digital data sets of expression dental phenomenon among embodiment of the application with the state space search method.
Fig. 3 is for cutting the jaw synoptic diagram on the case 1.
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 synoptic diagram of computer system that is used to produce the digital data sets of expression dental phenomenon among embodiment of the application.
Embodiment
In some embodiments, can adopt heuristic search method.The evaluation function of heuristic search can include but not limited at least one of following parameter: crowding, labial teeth cover, labial teeth is laminated with, 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 corresponding weighted value w be set to above each variable
a, w
b, w
c, w
d, w
e, w
f, w
g, w
h, w
iTherefore 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, can preset a threshold value G, be used for the result of calculation of f (n) is compared, whether enough good with decision node n.
In one embodiment, earlier patient's tooth jaw is scanned modeling, and to every tooth that needs to correct confirm its coordinate figure (x, y, z).The step value of translation symbol is set to 0.2mm, and the step value of rotary manipulation symbol is set to 1 °.For a tooth,, can form 729 permutation and combination based on above-mentioned mentioned operational character:
(x11, y11, z11)---wherein x11 represents the X-direction δ (δ=0.2) that shuffles, and is just changeing ω (ω=1 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x12, y11, z11)---wherein x12 represents the X-direction δ (δ=0.2) that shuffles, and does not change (ω=0 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x13, y11, z11)---wherein x3 represents the X-direction δ (δ=0.2) that shuffles, and around X-direction is negative changes (ω=-1 °); Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x21, y11, z11)---wherein on behalf of X-direction, x21 do not move (δ=0), and is just changeing ω (ω=1 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x22, y11, z11)---wherein on behalf of X-direction, x22 do not move (δ=0), and does not change (ω=0 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x23, y11, z11)---wherein on behalf of X-direction, x23 do not move (δ=0), and around the negative ω (ω=-1 °) that changes of X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x31, y11, z11)---wherein x31 represents the negative δ (δ=-0.2) that moves of X-direction, and is just changeing ω (ω=1 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x32, y11, z11)---wherein x32 represents the negative δ (δ=-0.2) that moves of X-direction, and does not change (ω=0 °) around X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
(x33, y11, z11)---wherein x33 represents the negative δ (δ=-0.2) that moves of X-direction, and around the negative ω (ω=-1 °) that changes of X-direction; Y11 represents the Y direction δ that shuffles, and is just changeing ω (ω=1 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
......
(x11, y12, z11)---wherein x11 represents the X-direction δ (δ=0.2) that shuffles, and is just changeing ω (ω=1 °) around X-direction; Y12 represents the Y direction δ that shuffles, and does not change (ω=0 °) around Y direction; Z11 represents the Z-direction δ that shuffles, and is just changeing ω (ω=1 °) around Z-direction;
......
(x33, y33, z33)---wherein x33 represents the negative δ (δ=-0.2) that moves of X-direction, and around the negative ω (ω=-1 °) that changes of X-direction; Y33 represents the negative δ (δ=-0.2) that moves of Y direction, and around the negative ω (ω=-1 °) that changes of Y direction; Z33 represents the negative δ (δ=-0.2) that moves of Z-direction, and around the negative ω (ω=-1 °) that changes of Z-direction.
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 is represented the global function operational character:
O＝{[dx，dy，dz，dα，dβ，dγ]|dx∈{0，+1，-1}...}
Wherein, dx, dy, dz represent tooth respectively in x, y, the axial translation of z, and d α, d β, d γ represent the rotation of tooth around x, y, z axle respectively.
Can obtain transform matrix M:
After to operational character of a dental applications, certain any coordinate is transformed to by [x, y, z, 1] before moving on this tooth:
[x ', y ', z ', 1]=[x, y, z, 1] * M equation (two)
In addition, be to reduce calculated amount, can be according to the tooth of state the selections needs rectification of tooth; Selecting corresponding operational character for the tooth that needs are corrected, be this tooth setting and make correction for direction, is that the tooth that needs are corrected is set the rectification scope; And specify and correct order, with the deflated state space.
In one embodiment, can be to the step value of tooth individual setting operational character.Step value such as the operational character that moves along X axle forward of, tooth 1 is set to 0.2mm, and the step value of the operational character that moves along X axle forward of tooth 3 is set to 0.1mm.
In one embodiment, can individual setting to the opereating specification of the operational character of choosing tooth.Such as, be set at the scope that moves along X axle forward of tooth 1 and be no more than 2mm, be set at the scope that moves along X axle forward of tooth 3 and be no more than 1mm.
Please join Fig. 1, show that the manufacturing that utilizes heuristic search method among embodiment of the application is used to adjust the process flow diagram of method 100 of the dental appliance of tooth position.In 101, obtain first digital data sets of expression tooth first state.Wherein, the digital data sets of expression dental phenomenon is the digitized representations of this dental phenomenon three-dimensional structure.In some embodiments, a digital data sets can comprise a plurality of digital data sets, and each these digital data sets can be represented information such as the profile, position, angle of the tooth of a correspondence.Such as the industry those skilled in the art knowledge, the data structure of digital data sets can have the different setting of many kinds, repeats no more here.
In 103, at least one operational character is provided.Wherein, each operational character is represented an operation, removes glaze etc. such as mobile, rotation, proximal surface.When an operation acts on the digital data sets of a corresponding tooth; Obtain new digital data sets with changing the current digit data set, this new digital data sets is illustrated on the basis of current dental phenomenon the dental phenomenon that this tooth is carried out corresponding operation and obtain.
In 105, evaluation function is provided.Wherein, this evaluation function can comprise at least one following parameter: crowding, labial teeth cover, labial teeth is laminated with, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
In 107, the rectification achievement data is provided, correct the foundation that requires as judging whether dental phenomenon meets.In some embodiments, correct achievement data and can comprise, be covered as 2～4mm such as labial teeth to choosing the scope of parameter setting.
In 109, selection needs the tooth of adjustment, with the deflated state space.User or doctor can confirm that which tooth needs adjustment through 3D rendering or the model of observing current dental phenomenon.
In 111, for each tooth of choosing is selected at least one operational character, with the deflated state space.Which operational character user or doctor can need confirm adjust the tooth that each is chosen through 3D rendering or the model of observing current dental phenomenon.
In 113,, be each operational character setting range of choosing for each tooth of choosing.User or doctor can confirm these scopes through 3D rendering or the model of observing current dental phenomenon.
In 115; Scope based on first digital data sets, the tooth of choosing, the operational character of choosing and setting; Utilization produces the first digital data sets sequence from second digital data sets to the N digital data sets one by one based on the heuristic search method and the operational character of evaluation function.Wherein, N numerical data set representations meets the N dental phenomenon of correcting requirement.The first digital data sets sequence is represented a rectification plan.In some embodiments, before the search beginning, confirm to correct order,, reduce calculated load with the deflated state space.
In some embodiments, can each amended digital data sets and last digit data set be compared, be near target or wide to judge it.If near target, then continue identical operations, if wide then stops this operation.
In some embodiments, each digital data sets is based on the last digit data set and carries out state space search and produce.
In 117, select a conduct of the digital data sets sequence of generation in 115 to correct plan.In some embodiments, can select the digital data sets sequence according to patient's concrete condition.
In 119, produce a series of positive tooth models one by one according to the digital data sets sequence of selecting.In some embodiments, can use the method for laser fast shaping to make positive tooth model.
In 121, on a series of positive tooth models one by one, form a series of negative tooth models one by one, as the dental appliance of adjustment tooth position by 119 acquisitions.Wherein, the method that on positive tooth model, forms negative tooth model can be joined the paper " THE VACUUM FORMED DENTAL CONTOUR APPLIANCE " delivered by HenryINahoum etc.
In one embodiment, two table: OPEN tables and CLOSED table can be set.Deposit in the OPEN table and wait the node (state) expanding and investigates, deposit the node (state) of expanding or investigating in the CLOSED 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 has showed the process flow diagram of the method 300 of the digital data sets of expression dental phenomenon among embodiment of the application.Method 300 comprises:
In 301, obtain first digital data sets of expression tooth first state.In one embodiment, first digital data sets can obtain from computer-readable medium, also can obtain from network.
In 303, the rectification achievement data is provided according to user instruction.In one embodiment, correct achievement data can comprise to one or more the polydonita tooth correct the scope that correlation parameter is set.
In 305, at least one operational character is provided, be used to revise the digital data sets of expression dental phenomenon.
In 307; Tooth (307a) according to the rectification of user instruction selection needs; Select at least one operational character (307b) according to user instruction for each tooth of choosing; For each operational character of choosing of each tooth of choosing scope (307c) is set according to user instruction, specifies according to user instruction and correct order (307d).
In 307a, selection needs the tooth of rectification from the tooth that provides.Like this, in state space search, just can only adjust selected tooth and keep other teeth constant, thereby dwindle the space of search, improve search efficiency.
In 307b, at least one selected tooth is selected one or multioperation symbol more.Like this, in state space search, can only use selecteed operational character, thereby dwindle the space of search, improve search efficiency a tooth.
In 307c, to each selected operational character setting range of each selected tooth.Like this, in state space search, can only search for, thereby dwindle the space of search, improve search efficiency the node in these scopes.
In 307d, specify and correct order.Such as, specify earlier straightening of teeth 1,2,3 simultaneously, again while straightening of teeth 4,5,6.Like this, can reduce the number of nodes in the state space, the deflated state space, thus improve search efficiency.
In 309, set up OPEN and CLOSED table, and add the OPEN table to first digital data sets of expression tooth first state.
In 311, whether inspection OPEN table is empty, not empty if OPEN shows, and skips to 313, if OPEN shows to empty, the expression nothing is separated, and skips to 319 end.
In 313, judge according to correcting achievement data whether each node meets the rectification requirement in the OPEN table.If do not have node to meet the rectification requirement in the OPEN table, skip to 315 expanding nodes, if having node to meet the rectification requirement in the OPEN table, then skip to 317 inquiries and whether finish.In some embodiments, if find one with the digital data sets of correcting the achievement data coupling, then export from first digital data sets one by one to the digital data sets sequence of this digital data sets.
In 315, move to the CLOSED table to present node, and to current digit data set apply operator, to produce the next stage node.New node is recorded in the OPEN table.
In 317, whether the inquiry user finishes computing, finishes the instruction of computing if receive the user, skips to 319 and finishes, and continues the instruction of computing if receive the user, skips to 315 expanding nodes.
Example 1
Fig. 3 is for cutting the jaw synoptic diagram on the case 1, and tooth 401 is normal, and tooth 402 need turn clockwise around the z axle, and moves along x axle forward, possibly also need move along the y axle.
In this case, can the dental arch symmetry as correcting index.In one embodiment, two RP a and b be can on tooth 402, get, accordingly, two corresponding RP c and d on tooth 401, also got.Is tooth 402 that axis of symmetry shines upon with the y axle, obtains tooth 402 ', and RP a ' and b '.Measure symmetry with straight line a ' c and b ' d length sum, its value is more little, and symmetry is high more.In this example, establish correct achievement data be a ' c and b ' d length sum less than 0.5 millimeter, promptly straight line a ' c and b ' d length sum just meet the rectification requirement less than 0.5 millimeter.
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 lips to inclination, preceding depth of threat is laminated with.Tooth 511 positions are normal, and tooth 511 and 522 have enough gaps to hold tooth 521.The scheme of rescuing be tooth 521 tongues to inclination, tongue is receipts, positive axis and elongation inwardly, comes into line denture, forces down tooth 531 and 532 simultaneously, opens interlock, cooperates tooth 521 to move.
For tooth 521, can tooth 511 be reference, correct that achievement data can comprise that labial teeth is laminated with, the distance of labial teeth covering, torque, shaft rake, incisor incisxal edge and biteplane etc.
For tooth 531 and 532, can tooth 541 and 542 be reference, correct that achievement data can comprise that labial teeth is laminated with, the distance of incisor incisxal edge and biteplane etc.
Fig. 5 has showed the computer system 600 that is used to produce the digital data sets of representing dental phenomenon among embodiment of the application.Computer system 600 comprises processor 601, internal memory 603, memory storage 605 and the input/output device 607 that connects through bus 609.
Store a computer program (not shown) in the memory storage 605, when this computer program is processed the part that can make the digital data sets that produces the expression dental phenomenon in processor 601 implementation methods 100 or 300 after device 601 is carried out.
Input/output device 607 can comprise keyboard, mouse, display and various IO interface, such as network interface, USB interface, IEEE 1394 interfaces, E-SATA interface etc., can realize the exchange of man-machine interaction and data.
Although described the various embodiment of disclosed method and apparatus above, should be understood that they only are that mode with example provides, rather than provide with the mode of restriction.Equally, each chart can illustrate exemplary architecture or other configuration of disclosed method and apparatus, and it helps to understand the characteristic that can be included in the disclosed method and apparatus and functional.Exemplary architecture shown in claimed invention is not limited to or configuration, and desirable characteristic can use various alternative architecture and configuration to realize.In fact, how those skilled in the art very clear can implement to substitute if being functional, logicality or division physically and configuration are to realize the required characteristic of disclosed method and apparatus.And multiple other shown in being different from are here formed module titles and also can be applied to different divisions.In addition, for process flow diagram, functional descriptions and claim to a method, given here square frame order should not be limited to same order to be implemented to carry out said functional various embodiment, only if spell out in the context.
Although described disclosed method and apparatus with various exemplary embodiments and embodiment above; Should be understood that; Various characteristics described in one or more embodiment in each embodiment, aspect and function be not limited to their application in described specific embodiment; But can be individually perhaps with various Combination application one or more embodiment in other embodiment of disclosed method and apparatus; No matter whether this embodiment describes, and also no matter whether this characteristic is expressed as the part of said embodiment.Therefore, the popularity of claimed invention and scope should not limited by top said embodiment.
Claims (15)
1. method that is used to produce the digital data sets of expression dental phenomenon, it comprises:
Obtain first digital data sets of expression tooth first state;
At least one operational character is provided, is used to revise the digital data sets of expression dental phenomenon;
The state space search method is provided, and
Utilize said state space search method and said operational character, carry out state space search, produce second digital data sets of expression second dental phenomenon based on said first digital data sets.
2. the method for claim 1 is characterized in that, it also comprises:
The orthodontic achievement data is provided; And
Compare said second digital data sets and said rectification achievement data, whether meet the rectification index of said rectification achievement data representative to judge said second dental phenomenon.
3. method as claimed in claim 2 is characterized in that it also comprises:
And the like, carry out state space search based on the N-1 digital data sets, obtain the N digital data sets of expression N dental phenomenon, wherein, N is the integer greater than 2; And
Compare said N digital data sets and said rectification achievement data, whether meet said rectification index to judge said N dental phenomenon.
4. method as claimed in claim 3 is characterized in that it also comprises:
If said N dental phenomenon meets said rectification index, so said N dental phenomenon is the dental phenomenon of expectation, thereby obtains the first digital data sets sequence from said second digital data sets to said N digital data sets.
5. the method for claim 1 is characterized in that, it also comprises: the tooth of selecting needs to correct.
6. method as claimed in claim 5 is characterized in that it also comprises: for the tooth that needs are corrected is selected at least one operational character.
7. method as claimed in claim 6 is characterized in that it also comprises: the tooth of correcting for needs is provided with moving range.
8. the method for claim 1 is characterized in that, it also comprises: for said operational character is provided with step value.
9. method as claimed in claim 2; It is characterized in that said orthodontic achievement data comprises at least one in the following parameter: dental arch curve, crowding, labial teeth cover, labial teeth is laminated with, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
10. the method for claim 1 is characterized in that, it also comprises: evaluation function is provided, and said state space search method is the heuristic search method based on this evaluation function.
11. method as claimed in claim 10; It is characterized in that said evaluation function comprises at least one in the following parameter: crowding, labial teeth cover, labial teeth is laminated with, dental arch bulging, Spee curve curvature, Bolton index, arch width, dental arch symmetry, tooth shaft rake, tooth torque and denture center line.
12. the method for claim 1; It is characterized in that said operational character comprises following at least one: along the translation of X axle forward, along the translation of X axle negative sense, along the translation of Y axle forward, along the translation of Y axle negative sense, along the translation of Z axle forward, along the translation of Z axle negative sense, turn clockwise, be rotated counterclockwise, turn clockwise, be rotated counterclockwise, turn clockwise, be rotated counterclockwise and their combination in any around the Z axle around the Z axle around the Y axle around the Y axle around the X axle around the X axle.
13. a manufacturing is used to adjust the method for the dental appliance of tooth position, it comprises:
Utilize second digital data sets as claimed in claim 1 to produce the second tooth positive model; And
On the said second tooth positive model, form the corresponding second negative norm type, as the dental appliance of adjustment tooth position.
14. a manufacturing is used to adjust the method for the dental appliance of tooth position, it comprises:
Utilize the first digital data sets sequence as claimed in claim 4 to produce corresponding a series of tooth positive model; And
On said a series of tooth positive model, form corresponding a series of negative norm types, as the dental appliance of adjustment tooth position.
15. a manufacturing is used to adjust the method for the dental appliance of tooth position, it comprises:
Utilize the positive model that several digital data sets are produced several corresponding teeth in the first digital data sets sequence as claimed in claim 4; And
On the positive model of said several teeth, form several corresponding negative norm types, as the dental appliance of adjustment tooth position.
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| CN103932807A (en) * | 2013-01-18 | 2014-07-23 | 无锡时代天使医疗器械科技有限公司 | Method for acquiring tooth target orthodontics state, method for producing tooth corrector and tooth corrector thereof |
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