CN101604455A - Complex treatment path generating method based on jaw state - Google Patents

Abstract

The present invention relates to a kind of complex treatment path generating method based on jaw state, the beginning traveling time that it avoids considering every section of tooth greatly reduces the manufacture difficulty of therapeutic scheme.The present invention includes following operation steps: 1) jaw state array of initialization; 2) read tooth step pitch table; 3) initialization actual teeth step pitch table and actual teeth stepping index; 4) initialization actual teeth step pitch table and actual teeth stepping index, corresponding index of all teeth in the jaw; 5) the jaw inner teeth gear is preserved into a jaw state from each crucial order hardwood that original state moves to dbjective state, be kept in the jaw state data set; 6) if jaw state number 〉=2 item enter next step, if previous step item is returned in jaw state number＜2; 7) rescue the stage the some interpolation jaw states in the middle of calculating and this stage walking step number for one that makes with former and later two jaw states in the jaw state array; 8) jaw state that keeps in the animation display actual teeth step pitch table.

Description

Complex treatment path generating method based on jaw state

One, technical field:

The present invention relates to a kind of area of computer aided orthodontic method, especially relate to a kind of complex treatment path generating method based on jaw state, it is applied to the computer-aided design (CAD) and the simulation in orthodontic field.

Two, background technology:

The important application of computer technology in the orthodontic field is exactly to help the doctor to simulate the overall process of orthodontic, and the doctor only needs to specify the state of key point place tooth in this process.

How computing machine generates the orthodontic process, and present representational technology is based on the complex treatment path technology of dental phenomenon, and its basic generation thought is: 1, set the step pitch (how many degree of every how many distances of moved further and rotation) that tooth moves.2, the state (with respect to initial position moved how many distances and rotated how many degree) of every tooth of record when treatment beginning and end, and some intermediatenesses (if having) has n intermediateness, and the mobile of this tooth will be divided into the n+1 section.3, calculate every section of every tooth and move how many steps, a step is exactly a treatment stage, and every section of moving of tooth is that the first place joins.4, determine the start time of every section of every tooth.The weak point of the method is, because this technology is based on single tooth, when determining the start time of every section of every tooth, need take into full account the mutual relationship with other tooth, can increase the generation difficulty of therapeutic scheme greatly.

Three, summary of the invention:

The present invention provides a kind of complex treatment path generating method based on jaw state in order to solve the weak point in the above-mentioned background technology, and the beginning traveling time that it avoids considering every section of tooth greatly reduces the manufacture difficulty of therapeutic scheme.

For achieving the above object, the technical solution used in the present invention is:

A kind of complex treatment path generating method based on jaw state is characterized in that: comprise following operation steps:

1) jaw state array of initialization;

2) read tooth step pitch table;

3) initialization actual teeth step pitch table and actual teeth stepping index, jaw state of each index point;

4) initialization actual teeth step pitch table and actual teeth stepping index, corresponding index of all teeth in the jaw;

5) the jaw inner teeth gear is preserved into a jaw state from each crucial order hardwood that original state moves to dbjective state, be kept in the jaw state data set;

6) judge the jaw state number, if jaw state number 〉=2 item enter next step, if previous step item is returned in jaw state number＜2;

7) rescue the stage for one that makes with former and later two jaw states in the jaw state array, some interpolation jaw states in the middle of calculating and this stage walking step number, preceding, interpolation, back jaw state are saved in the actual teeth step pitch table in proper order, and actual teeth stepping index adds this section walking step number;

8) jaw state that keeps in the animation display actual teeth step pitch table.

Compared with prior art, the advantage and the effect that have of the present invention is as follows:

The starting point of the present invention is a jaw, rather than independent tooth, so record is the state of jaw, comprises the state of every tooth in the state of jaw.The rising of recording status grade, make that the doctor considers when making therapeutic scheme all be jaw in each variation constantly, make the transparence that exists of tooth, greatly reduce the manufacture difficulty of therapeutic scheme.

Four, description of drawings:

Fig. 1 to Fig. 6 is overall appearance and application drawing.

Fig. 7 is a program flow diagram of the present invention.

Five, embodiment:

Referring to Fig. 7, working routine flow process of the present invention is as follows:

1) jaw state array of initialization;

Process as shown in Figure 1, wherein jaw state refers to that all teeth in the jaw are current with respect to the distance that initial position moved and angle (a, b, the c of rotation, lx, ly, lz), initial tooth positions is (0,0,0,0,0,0), wherein front three is represented translation, and back three representatives are respectively around x, y, the angle of z rotation, with these 6 numerals, according to following this matrix:

$\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 1x& 1y& 1z& 1\end{array}\right]*\left[\begin{array}{cccc}\cos \left(c\right)& \sin \left(c\right)& 0& 0\\ -\sin \left(c\right)& \cos \left(c\right)& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]*\left[\begin{array}{cccc}0& \cos \left(b\right)& -\sin \left(b\right)& 0\\ 0& 1& 0& 0\\ 0& \sin \left(b\right)& \cos \left(b\right)& 0\\ 0& 0& 0& 1\end{array}\right]*\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& \cos \left(a\right)& \sin \left(a\right)& 0\\ 0& -\sin \left(a\right)& \cos \left(a\right)& 0\\ 0& 0& 0& 1\end{array}\right]$

Can recover the unique position of tooth in 3 dimension coordinates system.The jaw state array is exactly a set of jaw state, and its memory bank is a float[jaw state number] [tooth number] [6].

2) read tooth step pitch table;

Process as shown in Figure 2, tooth step pitch table is exactly the velometer of tooth in fact, comprises the point-to-point speed and the rotational speed of every tooth, tooth is along 1) in translational speed on 6 components can not surpass this numerical value, can play the function that limits the tooth translational speed.

3) initialization actual teeth step pitch table;

Process as shown in Figure 3, what actual teeth step pitch table was deposited is, each step of therapeutic scheme, the distance that every tooth moves with respect to its initial position and the angle of rotation, promptly in the first step (a, b, c, lx, ly, lz).

4) the jaw inner teeth gear is preserved into jaw state from each crucial hardwood that original state moves to dbjective state;

The tooth dbjective state refers to the end-state rescued, i.e. teeth arrangement good state.

Crucial hardwood refers to that tooth moves sequencing and changes point, tooth moving direction change point etc.An example crowded situation as shown in Figure 4, dbjective state is c, and tooth 2 will enter the tooth sequence, just needs earlier tooth 1, tooth 3 to be removed (state b), and tooth 2 moves into again then, and state b promptly is a crucial hardwood.Each tooth can be preserved into a jaw state with respect to the amount of movement of initial position during the key hardwood.

5) form one by beginning, end jaw state and rescue the stage some interpolation jaw states in the middle of calculating automatically;

Beginning, to finish jaw state be from 1) the jaw state array in obtain, the computation process of middle some interpolation jaw states as shown in Figure 5, on behalf of one of treatment stage, an interpolation jaw state go on foot.This section of tooth travel distance=tooth finish (a, b, c, lx, ly, lz)-obtain in the tooth step pitch table this section beginning of tooth (c, lx, ly, lz), the translational speed of tooth is from 2 for a, b).

Tooth walking step number computing method for 3 translational components divided by point-to-point speed, 3 angle component are run into the remainder step number and are added one divided by rotational speed, obtain 6 step numbers, the step number of this tooth of conduct of maximum in 6.

The maximum step number of all teeth is the mobile total step number of this section.

The method of calculating the interpolation jaw state is, with the mobile step number Sn of the displacement on 6 components of this tooth divided by this tooth oneself, obtain the translational speed ki on 6 components of this tooth, then from 0 to Sn, it is with respect to the displacement i=starting position i+ki* speed component i of original state, i from 1 to 6, counts in this section interval to the mobile general headquarters of this section for Sn+1, and the displacement of this tooth equals end position.

6) fill in the actual teeth step pitch table;

Process as shown in Figure 6, all jaw states (beginning, interpolation, end jaw state) of treatment stage are updated to actual teeth step pitch table way is, the storage organization of actual step pitch table is the float[total step number] [tooth number] [2] [6], the storage organization of jaw state is a float[tooth number] [2] [6], from 1 to the treatment total step number, assignment just successively.

7) observe therapeutic scheme;

The actual step pitch table of tooth can be marked maximum step number from 1 to step pitch, every 0.5 second, according to the 1st after filling and finishing) in the step will the location restore matrix, the correcting process of tooth just can be observed in the position of recovering this step every tooth.

Embodiment:

As Fig. 4, preserve 3 jaw states, parameter is as follows

Jaw state	Tooth 1	Tooth 2	Tooth 3
				A	(0，0，0，0，0，0)	(0，0，0，0，0，0)	(0，0，0，0，0，0)
B	(-2，1，0，0，0，0)	(0，0，0，0，0，0)	(2，1，0，0，0，0)
				C	(-2，1，0，0，0，0)	(0.5，4，0，0，0，0)	(2，1，0，0，0，0)

Tooth step pitch table

	Tooth 1	Tooth 2	Tooth 3
				Speed	Translation 0.2 rotation 1	Translation 0.3 rotation 1	Translation 0.25 rotation 1

The process that generates therapeutic scheme is as follows:

The A-B treatment stage, according to the process of Fig. 5, the distance that tooth 1 is advanced is (2,1,0,0,0,0), tooth 3 travel distances are (2,1,0,0,0,0), according to step pitch table medium velocity, 1 component walking of tooth step number is (10,5,0,0,0,0), tooth 3 is (8,4,0,0,0,0), so tooth 1 this section walked for 10 steps, tooth 3 walked for 8 steps, so this section walked for 10 steps, each component speed of tooth 1 is (0.2,0.1,0,0,0,0), tooth 3 each component speed are (0.25).According to 5) the middle method of calculating the interpolation jaw state, all treatment stage jaw states of two teeth are listed as follows

	Tooth 1	Tooth 3
			1	(-0.2，0.1，0，0，0，0)	(0.25，0.125，0，0，0，0)
2	(-0.4，0.2，0，0，0，0)	(0.5，0.25，0，0，0，0)
			3	(-0.6，0.3，0，0，0，0)	(0.75，0.375，0，0，0，0)
4	(-0.8，0.4，0，0，0，0)	(1，0.5，0，0，0，0)
			5	(-1，0.5，0，0，0，0)	(1.25，0.625，0，0，0，0)
6	(-1.2，0.6，0，0，0，0)	(1.5，0.75，0，0，0，0)
			7	(-1.4，0.7，0，0，0，0)	(1.75，0.875，0，0，0，0)
8	(-1.6，0.8，0，0，0，0)	(2，1，0，0，0，0)
			9	(-1.8，0.9，0，0，0，0)	(2，1，0，0，0，0)
10	(-2，1，0，0，0，0)	(2，1，0，0，0，0)

In like manner can produce the jaw state tabulation of B-C, two tables are connected together, just can become actual teeth step pitch table.

Claims (1)

1, a kind of complex treatment path generating method based on jaw state is characterized in that: comprise following operation steps:

1) jaw state array of initialization;

2) read tooth step pitch table;

3) initialization actual teeth step pitch table and actual teeth stepping index, jaw state of each index point;

4) initialization actual teeth step pitch table and actual teeth stepping index, corresponding index of all teeth in the jaw;

5) the jaw inner teeth gear is preserved into a jaw state from each crucial order hardwood that original state moves to dbjective state, be kept in the jaw state data set;

6) judge the jaw state number, if jaw state number 〉=2 item enter next step, if previous step item is returned in jaw state number＜2;

7) rescue the stage for one that makes with former and later two jaw states in the jaw state array, some interpolation jaw states in the middle of calculating and this stage walking step number, preceding, interpolation, back jaw state are saved in the actual teeth step pitch table in proper order, and actual teeth stepping index adds this section walking step number;

8) jaw state that keeps in the animation display actual teeth step pitch table.

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