CN1214231C - Measuring method of space three dimension freedom curve - Google Patents
Measuring method of space three dimension freedom curve Download PDFInfo
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- CN1214231C CN1214231C CN 03121460 CN03121460A CN1214231C CN 1214231 C CN1214231 C CN 1214231C CN 03121460 CN03121460 CN 03121460 CN 03121460 A CN03121460 A CN 03121460A CN 1214231 C CN1214231 C CN 1214231C
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- measuring
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- Length Measuring Devices With Unspecified Measuring Means (AREA)
Abstract
The present invention relates to a measuring method for a space three dimensional free curve. The method comprises: integration flexible laser-processing system, and three coordinate measuring machine or a numerical control machine are utilized; characteristic points on a three dimensional free curve to be measured are obtained according to the characteristics of the free curve; the columns of the characteristic points are used as the columns of interpolation points, parameter spline curves of the adding chord length are fitted for three times and are used as a mathematical model of an actual curve to be measured, the parameters of the adding chord length are adaptively adjusted and are used as a measuring step size, and the interpolation generates a next probing point and an obstacle avoidance point; the characteristic points are inflection points on the curve to be measured, the enciphering measuring points of a large curvature part, starting points and ending points. The measuring method for a space three dimensional free curve of the present invention realizes the digitization of the three-dimensional free curve and the reasonable measuring point arrangement, and enhances measuring efficiency, precision and safety.
Description
Technical field
The present invention relates to the automatic control survey technical field, particularly a kind of measuring method of space three-dimensional free curve.
Background technology
The space three-dimensional free curve is widely used in welding, cutting or Modeling Technology, and it is significant to obtain its data.Because the space three-dimensional free curve does not have analytic expression truly, to its digitizing the method for three-dimensional measurement will be arranged, thereby be the difficult point in the engineering always.At present, general by waiting distance measurement method, the mode of step-length such as promptly use to come two-dimentional free curve is measured, its defective is that the measurement data of Huo Deing just can not reflect the truth of two-dimentional free curve sometimes like this, and efficiency of measurement is lower; And the digitizing solution of space three-dimensional free curve is studied seldom research report that Shang Weijian is relevant or the patented technology of announcing.
Summary of the invention
The objective of the invention is to: the blank of filling space 3 D auto curved measurement method provides a kind of measuring method of space three-dimensional free curve, thereby satisfies the digitizing demand of 3 D auto curve in the engineering.
The object of the present invention is achieved like this: the measuring method of a kind of space three-dimensional free curve of the present invention, utilize integrated flexible laser system of processing, three-coordinate measuring machine or numerically-controlled machine, own characteristic according to free curve, at first obtain the unique point on the 3 D auto curve to be measured, then, with the feature point range as the interpolation point range, the match mathematical model of chord length cubic parametric SPL that add up as reality curve to be measured, add up the chord length parameter as measuring step-length by adaptive adjustment, and interpolation produces next sensing point and keeps away the barrier point; Described unique point is meant the flex point on the curve to be measured, intensive measurement point, starting point and the end point at deep camber place.
The measuring method of a kind of space three-dimensional free curve of the present invention, its step comprises:
1, measures curvilinear characteristic point range T to be measured earlier
1, T
2, T
3..., T
N-1, T
nThe three dimensional space coordinate value, as shown in Figure 1, and the coordinate figure of each point deposited in the calculator memory array of measuring control usefulness;
2, utilize the feature point range T that obtains
1, T
2, T
3..., T
N-1,
TnD coordinates value, adopt the free end boundary condition, be parameter with the chord length that adds up of each point, calculate cubic parametric SPL x=x (s), y=y (s), z=z (s) with the chasing method of separating almost triangular matrix commonly used;
3, substitute actual three-dimensional space curve with resulting cubic parametric SPL, and make chord length footnote sequence number i=0, chord length parameter s
i=0, s
EndFor with end point T
nThe corresponding chord length parameter that adds up is according to formula P
i(s
i)=[x (s
i) y (s
i) z (s
i)] obtain next sensing point P
i(s
i) and the corresponding barrier point of keeping away, and the D coordinates value of measurement point stored in the measurement data file;
4, make d
iBe unique point T
I-1With unique point T
iBetween distance, with d
iAs criterion, come to determine adaptively the chord length parameter s of next measurement point
I+1Thereby, reach the purpose that step-length is measured in the self-adaptation adjustment;
5, if s
i＜s
End, repeating step 3 and 4 then; Otherwise, finish measuring process.
Described criterion d
i≤ 20mm, s
I+1=s
i+ 4mm; If 20mm＜d
i≤ 40mm, s
I+1=s
i+ 8mm; If 40mm＜d
i≤ 100mm, s
I+1=s
i+ 12mm; If d
i＞100mm, s
i=s
I-1+ d
i/ 2; And make i=i+1.
The invention has the advantages that: the measuring method of a kind of space three-dimensional free curve of the present invention, realize the digitizing of 3 D auto curve and accomplished reasonably to arrange measuring point, improve efficiency of measurement, precision and security.
The drawing explanation
Fig. 1 is the synoptic diagram of 3 D auto curved measurement method of the present invention
Fig. 2 is that 3 D auto curved measurement method embodiment of the present invention surveys the feature point range
Fig. 3 is 3 D auto curved measurement method data that embodiment surveys of the present invention
Fig. 4 is the algorithm flow chart of 3 D auto curved measurement method of the present invention
Embodiment
The China Patent No. that adopts Chinese Academy of Sciences's mechanics study to be authorized is that ZL98101217.5 a kind of has flexible the transmission and multi-shaft interlocked laser processing device, also can adopt three coordinate measuring machine, utilize contact measuring head (or contactless gauge head) and be equipped with and measure that auxiliary circuit links to each other with the I/O communication port of planer type numerical control lathe and the equipment such as measurement processing machine that are transformed into, three dimensions free curve to a crest line structure of stamping die of automotive covering part is measured, as shown in Figure 4, its concrete steps are as follows:
(1) as shown in Figure 2, at first, measure the feature point range T of curve to be measured
1(1150.333252-1112.331787-435.199127), T
2(957.775146-1112.330322-425.146210), T
3(884.654053-1110.837036-422.971252), T
4(850.682434-1085.903809-422.613159), T
5(846.577209-1062.570557-424.836914), T
6(891.577209-1036.385498-429.857605) and T
7(891.321838-1005.093506-442.084778) the three dimensional space coordinate value of totally 7 unique points.This space three-dimensional curve to be measured roughly is to connect one section straight line by one section straight line and one section camber line to constitute T
1, T
7Be respectively the starting point and the end point of three-dimensional curve to be measured, T
2, T
3, T
5, T
6All be the point that carries out intensive measurement at arc, T
4Flex point for camber line.Deposit in the calculator memory array of measuring control usefulness the coordinate figure of each point in T
1, T
2, T
3..., T
6, T
7Be memory variable, simultaneously, the D coordinates value of unique point write among the characteristic point data file.
(2) utilize the feature point range T that obtains
1, T
2, T
3..., T
6, T
7D coordinates value, adopt to make that end points curvature is 0 free end boundary condition, be parameter with the chord length that adds up of each point, calculate cubic parametric SPL x=x (s), y=y (s), z=z (s) with the chasing method of separating almost triangular matrix commonly used, in the formula, s is the chord length parameter.
(3) to substitute actual three-dimensional space curve, when beginning to measure, make chord length footnote sequence number i=0, the chord length parameter s by the resulting cubic parametric SPL of step (2)
i=0.
(4) the chord length parameter s of utilizing step (3) to obtain
iIn the substitution cubic parametric SPL, obtain by formula P
i(s
i)=[x (s
i) y (s
i) z (s
i)] the sensing point P that calculates
i(s
i) and keep away the barrier point, drive the D coordinates value that measuring head obtains measurement point, and store in the measurement data file.
(5) make d
iBe unique point T
I-1With unique point T
iBetween distance, with d
iAs criterion, come adaptive adjustment to determine the chord length parameter s of next measurement point adaptively
I+1Thereby, reach the purpose that step-length is measured in the self-adaptation adjustment.Its specific practice is as follows: if d
i≤ 20mm, s
I+1=s
i+ 4mm; If 20mm＜d
i≤ 40mm, s
I+1=s
i+ 8mm; If 40mm＜d
i≤ 100mm, s
I+1=s
i+ 12mm; If d
i＞100mm, s
i=s
I-1+ d
i/ 2.And make chord length footnote sequence number variable i=i+1.
(6) if s
i＜s
End(s
EndBe end point T
6The corresponding chord length parameter that adds up), repeat (4), (5); Otherwise end measuring process.
Above-mentioned steps has been finished the digitized measurement to the space three-dimensional free curve of automobile die crest line structure automatically.Adopt the origin mapping software that the unique point coordinate figure of measured free curve is shown that Fig. 3 has then shown the measurement result to automobile die crest line structure as Fig. 2.
Claims (2)
1, a kind of measuring method of space three-dimensional free curve, this method are utilized integrated flexible laser system of processing, three-coordinate measuring machine or numerically-controlled machine, it is characterized in that, comprise the steps:
(1) measures curvilinear characteristic point range T to be measured earlier
1, T
2, T
3..., T
N-1, T
nThe three dimensional space coordinate value, and the coordinate figure of each point deposited in the calculator memory array of measuring control usefulness;
(2) utilize the feature point range T that obtains
1, T
2, T
3..., T
N-1, T
nD coordinates value, adopt the free end boundary condition, be parameter with the chord length that adds up of each point, calculate cubic parametric SPL x=x (s), y=y (s), z=z (s) with the chasing method of separating almost triangular matrix commonly used;
(3) substitute actual three-dimensional space curve with resulting cubic parametric SPL, and make chord length footnote sequence number i=0, chord length parameter s
i=0, s
EndFor with end point T
nThe corresponding chord length parameter that adds up is according to formula P
i(s
i)=[x (s
i) y (s
i) z (s
i)] obtain next sensing point P
i(s
i) and the corresponding barrier point of keeping away, and the D coordinates value of measurement point stored in the measurement data file;
(4) make d
iBe unique point T
I-1With unique point T
iBetween distance, with d
iAs criterion, come to determine adaptively the chord length parameter s of next measurement point
I+1Thereby, reach the purpose that step-length is measured in the self-adaptation adjustment;
(5) if s
i＜s
End, repeating step 3 and 4 then; Otherwise, finish measuring process.
2, by the measuring method of the described a kind of space three-dimensional free curve of claim 1, it is characterized in that described criterion d
i≤ 20mm, s
I+1=s
i+ 4mm; If 20mm＜d
i≤ 40mm, s
I+1=s
i+ 8mm; If 40mm＜d
i≤ 100mm, s
I+1=s
i+ 12mm; If d
i＞100mm, s
i=s
I-1+ d
i/ 2; And make i=i+1.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 03121460 CN1214231C (en) | 2003-03-28 | 2003-03-28 | Measuring method of space three dimension freedom curve |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 03121460 CN1214231C (en) | 2003-03-28 | 2003-03-28 | Measuring method of space three dimension freedom curve |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN1534274A CN1534274A (en) | 2004-10-06 |
| CN1214231C true CN1214231C (en) | 2005-08-10 |
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ID=34285712
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| CN 03121460 Expired - Fee Related CN1214231C (en) | 2003-03-28 | 2003-03-28 | Measuring method of space three dimension freedom curve |
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Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1294466C (en) * | 2004-11-18 | 2007-01-10 | 上海交通大学 | Direct numerical control processing method based on measuring data points |
| JP4796936B2 (en) * | 2006-11-01 | 2011-10-19 | 株式会社ソディック | Processing control device |
| CN103714563B (en) * | 2014-01-03 | 2016-11-02 | 中南大学 | A kind of boundary of curve type farmland operation area modeling method |
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2003
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| CN1534274A (en) | 2004-10-06 |
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