CN104819703A - Inclination parameter fitting method for inclination pivot - Google Patents
Inclination parameter fitting method for inclination pivot Download PDFInfo
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- CN104819703A CN104819703A CN201510216445.8A CN201510216445A CN104819703A CN 104819703 A CN104819703 A CN 104819703A CN 201510216445 A CN201510216445 A CN 201510216445A CN 104819703 A CN104819703 A CN 104819703A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C9/00—Measuring inclination, e.g. by clinometers, by levels
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Abstract
The invention discloses an inclination parameter fitting method for an inclination pivot. The method comprises the following steps: acquiring actually measured inclinations on an X axis and a Y axis; constructing an inclination parameter fitting model, specifically including acquiring multiple groups of inclination values on the Y axis, and acquiring fitting data of the X axis and the Y axis; respectively constructing inclination fitting function models for the X axis and the Y axis, and acquiring a parameter of each model; determining the inclination fitting function models for the X axis and the Y axis; substituting a step value acquired in the step 1 into the inclination fitting function models for the X axis and the Y axis acquired in the step 2 to the step 4, thereby acquiring the inclinations of the X axis and the Y axis; correcting the actually measured inclinations in association with the acquired inclinations for the X axis and the Y axis. The nonlinearity of the direct measurement can be corrected by the inclination parameter fitting method, and a high precision of the inclinations can be achieved in association with the fitting technology, thereby solving the problems that the automatic correction cannot be achieved due to the fact that the measurement of the inclination pivot in the prior art is not high in precision, accordingly achieving the fitting and the correction of the parameter.
Description
Technical field
The present invention relates to a kind of angle of inclination parameter fitness method for inclination angle fulcrum, belong to the field of communication and sensing technology.
Background technology
In the various fields of science and technology, often need to test according to reality a series of data obtained, obtain their funtcional relationship expression formula.Theoretically, n order polynomial f (x) can be constructed according to Interpolation Principle, make f (x) at the functional value of each test point just by eyeball.
, under many circumstances, acquire a lot of sample point to reflect truth as far as possible, the number of times causing interpolation polynomial f (x) is very high, this increases not only the calculated amount of function, and have impact on approximation ratio; Besides because interpolation polynomial is through each actual measurement sampling point, will measuring error be retained like this, thus affect the precision of fitting function, not easily reflect the funtcional relationship of real data.
On this basis, people improve, and generally take according to known actual test specimens point, find out the functional relation between tested amount, the function curve that matching is drawn fully can reflect the relation between actual test volume, Here it is curve.Thus, make curve fitting technique be obtained in the field such as processes and displays and fault mode diagnosis of image procossing, reverse-engineering, computer-aided design (CAD) and test data to apply widely.
For in the communications field, equipment there is inclination angle fulcrum usually, and in technology to the angle of inclination of inclination angle fulcrum, the angle of inclination of sensor to the angle of inclination of inclination angle fulcrum is adopted directly to measure often, directly obtain the angle of inclination of inclination angle fulcrum thus, further, carry out analysis on the basis of measured value after measurements are taken and obtain corresponding conclusion.This also brings some problems, due to the aging of equipment or between coordinate undertighten, the angle of inclination measured easily is made to there is error, reduce the precision of measurement, and cannot the angle measured by inclination angle be corrected, make inclination angle fulcrum thus in the operational process of reality, parameter is not accurate.
Summary of the invention
Technical matters to be solved by this invention is to overcome the deficiencies in the prior art, a kind of angle of inclination parameter fitness method for inclination angle fulcrum is provided, solve existing inclination angle fulcrum precision in measurement not high, cannot the problem of automatic calibration, realize matching and the correction of parameter.
The present invention specifically solves the problems of the technologies described above by the following technical solutions:
For an angle of inclination parameter fitness method for inclination angle fulcrum, comprise the following steps:
Step 1, according to the step value of setting, inclination angle fulcrum to be measured, obtain the actual measurement angle of inclination in X-axis and Y-axis;
Step 2, structure degree of tilt parameter fitting model, specifically comprise the steps:
Step 2-1, according to different step value, the angle of inclination of inclination angle fulcrum in X-axis to be measured, obtain some groups of X-axis inclination angle value; According to different step value, the angle of inclination of inclination angle fulcrum in Y-axis is measured, obtain some groups of Y-axis inclination angle value;
Step 2-2, adopt line fitting approach to carry out matching respectively to described some groups of X-axis and Y-axis inclination angle value, obtain the fitting data of X-axis and Y-axis;
Step 2-3, respectively structure X-axis and Y-axis angle of inclination fitting function model, and the fitting data of the X-axis of gained and Y-axis is substituted into matching X-axis and Y-axis angle of inclination fitting function model respectively, obtain the parameter of each model;
Step 2-4, each model parameter according to step 2-3 gained, determine X-axis and Y-axis angle of inclination fitting function model;
Step 3, the step value set by step 1 is substituted into the X-axis angle of inclination fitting function model of step 2-4 gained, obtain X-axis angle of inclination; And the step value set by step 1 substitutes into the Y-axis angle of inclination fitting function model of step 2-4 gained, obtains Y-axis angle of inclination;
The X-axis actual measurement angle of inclination of the X-axis angle of inclination that step 4, integrating step 3 obtain to step 1 gained corrects, and the Y-axis actual measurement angle of inclination of Y-axis angle of inclination to step 1 gained that integrating step 3 obtains corrects.
Further, as a preferred technical solution of the present invention: described step 2-2 line fitting approach is adopt the method being averaging translation curve zero point to carry out curve fitting.
Further, as a preferred technical solution of the present invention: described step 2-4 also comprises and carries out quadratic fit step to X-axis and Y-axis angle of inclination fitting function model.
Further, as a preferred technical solution of the present invention: described step 2-1 obtains two groups of X-axis inclination angle value and Y-axis inclination angle value by the two groups of step values set.
Further, as a preferred technical solution of the present invention: described step 1 adopts obliquity sensor to obtain the actual measurement angle of inclination of fulcrum in X-axis and Y-axis, inclination angle.
The present invention adopts technique scheme, can produce following technique effect:
(1), angle of inclination parameter fitness method for inclination angle fulcrum of the present invention, the actual measurement angle of inclination in X-axis and Y-axis is obtained by actual measurement inclination angle fulcrum, and build degree of tilt parameter fitting model, and combine the data substitution model measured, X-axis and Y-axis angle of inclination fitting function model is obtained after obtaining model parameter, then corresponding numerical value is substituted into gained model and obtain angle of inclination, and combine and obtain the actual measurement angle of inclination of axle angle of inclination to gained and correct, angle of inclination is accurately calculated by model of fit, can avoid thus directly measuring the error existed, it is corrected, by this fit approach, have modified the nonlinearity directly measured, make the precision based on the basis measured allows angle of inclination reach very high in conjunction with fitting technique.Existing inclination angle fulcrum precision in measurement is solved not high thereby, it is possible to effective, cannot the problem of automatic calibration, realize matching and the correction of parameter.
(2), further, this method, in fit procedure, is adopt the method being averaging translation curve zero point to carry out curve fitting in conjunction with line fitting approach, utilizes the accuracy of line fitting method, the precision of further raising method.
Accompanying drawing explanation
Fig. 1 is the schematic flow sheet of the present invention for the angle of inclination parameter fitness method of inclination angle fulcrum.
Embodiment
Below in conjunction with Figure of description, embodiments of the present invention are described.
As shown in Figure 1, the present invention devises a kind of angle of inclination parameter fitness method for inclination angle fulcrum, comprises the following steps:
Step 1, according to the step value of setting, inclination angle fulcrum to be measured, obtain the actual measurement angle of inclination in X-axis and Y-axis;
Step 2, structure degree of tilt parameter fitting model, specifically comprise the steps:
Step 2-1, according to different step value, the angle of inclination of inclination angle fulcrum in X-axis to be measured, obtain some groups of X-axis inclination angle value; According to different step value, the angle of inclination of inclination angle fulcrum in Y-axis is measured, obtain some groups of Y-axis inclination angle value;
Step 2-2, adopt line fitting approach to carry out matching respectively to described some groups of X-axis and Y-axis inclination angle value, obtain the fitting data of X-axis and Y-axis;
Step 2-3, respectively structure X-axis and Y-axis angle of inclination fitting function model, and the fitting data of the X-axis of gained and Y-axis is substituted into matching X-axis and Y-axis angle of inclination fitting function model respectively, obtain the parameter of each model;
Step 2-4, each model parameter according to step 2-3 gained, determine X-axis and Y-axis angle of inclination fitting function model;
Step 3, the step value set by step 1 is substituted into the X-axis angle of inclination fitting function model of step 2-4 gained, obtain X-axis angle of inclination; And the step value set by step 1 substitutes into the Y-axis angle of inclination fitting function model of step 2-4 gained, obtains Y-axis angle of inclination;
The X-axis actual measurement angle of inclination of the X-axis angle of inclination that step 4, integrating step 3 obtain to step 1 gained corrects, and the Y-axis actual measurement angle of inclination of Y-axis angle of inclination to step 1 gained that integrating step 3 obtains corrects.
The actual measurement angle of inclination in X-axis and Y-axis is obtained by actual measurement inclination angle fulcrum, and combine and obtain the actual measurement angle of inclination of axle angle of inclination to gained and correct, angle of inclination is accurately calculated by model of fit, can avoid thus directly measuring the error existed, it is corrected, by this fit approach, have modified the nonlinearity directly measured.
In order to verify that parameter fitness method of the present invention can realize the correction at the angle of inclination of inclination angle fulcrum, below enumerate an embodiment and be described, embodiment is as follows:
The present embodiment adopts SCA100T type obliquity sensor, and SCA100T series is the high-precision dual-axis obliquity sensor chip based on 3D MEMS, it provides the performance of horizontal survey instrument rank.The sensing element of twin shaft high-precision tilt angle sensor chip needs and measuring table keeping parallelism when measuring, and sensor twin shaft needs mutually vertical.The design of weak temperature dependency, high resolving power, low noise and sound sensing element allows SCA100T-D01, SCA100T-D02 high-precision dual-axis obliquity sensor chip become the only selection of Horizontal measuring apparatus.And the mechanical impact force that can bear up to 20,000g, can well be used in this method thus.Utilize SCA100T type obliquity sensor to measure the inclination of inclination angle fulcrum under setting step value, obtain the actual measurement angle of inclination in X-axis and Y-axis.
Then, degree of tilt parameter fitting model is built.The X-axis angle of inclination fitting function model built, namely model of fit is straight line, and its formula is as follows:
P=A+BX （1）
Wherein, P is step value; A and B is model parameter, and X is X-axis angle of inclination.
Then, inclination angle fulcrum is fixed on the platform of position, school.Position, school platform steps to+10 ° from-10 °, and step value is 0.2 °.An X-axis angle of inclination is obtained when stepping one time.High-ranking officers position platform is set as other step values again, obtains second X-axis angle of inclination.Thus, two groups of X-axis inclination angle value are obtained by the two groups of step values set.
Adopt line fitting approach to carry out matching to described two groups of X-axis inclination angle value, obtain the fitting data of X-axis.Wherein fitting data is the related function of model parameter A and B.
Then the fitting data of the X-axis of gained substitutes into matching X-axis angle of inclination fitting function model, obtains the concrete numerical value of parameter number A and B of model.After being determined by the concrete numerical value of A and B, obtain X-axis angle of inclination fitting function model.
In like manner, degree of tilt parameter fitting model is built.The Y-axis angle of inclination fitting function model built, namely model of fit is straight line, and its formula is as follows:
Q=C+BY （2）
Wherein, Q is step value; C and D is model parameter, and Y is Y-axis angle of inclination.
Then, inclination angle fulcrum is fixed on the platform of position, school.Position, school platform steps to+5 ° from-5 °, and step value is 0.2 °.A Y-axis angle of inclination is obtained when stepping one time.High-ranking officers position platform is set as other step values again, obtains second Y-axis angle of inclination.Thus, two groups of Y-axis inclination angle value are obtained by the two groups of step values set.
Adopt line fitting approach to carry out matching to described two groups of Y-axis inclination angle value, obtain the fitting data of Y-axis.Wherein fitting data is the related function of model parameter C and D.
Then the fitting data of the Y-axis of gained substitutes into matching Y-axis angle of inclination fitting function model, obtains the concrete numerical value of parameter number C and D of model.After being determined by the concrete numerical value of C and D, obtain Y-axis angle of inclination fitting function model.
In order to improve the precision of parameter fitting further, the inventive method also comprises carries out quadratic fit step to the X-axis determined and Y-axis angle of inclination fitting function model.This quadratic fit process can adopt various approximating method well known in the prior art to carry out quadratic fit, obtains the model after quadratic fit.Thus, the quadratic sum of the difference between the inclination angle value that model of fit is obtained and actual measured value is minimum, for minimum problems wherein, can adopt in gradient method by the direction of search of negative gradient direction as optimization.
Then, set step value is substituted into the X-axis angle of inclination fitting function model of gained, obtain X-axis angle of inclination; And set step value substitutes into the Y-axis angle of inclination fitting function model of gained, obtains Y-axis angle of inclination.
Finally, complete contrast and correct.Be specially: correct in conjunction with the X-axis actual measurement angle of inclination of the X-axis angle of inclination obtained under model of fit to gained, when the X-axis angle of inclination obtained is greater than the angle of inclination of actual measurement, choose the average of its difference as correction radix, be increased on the angle of inclination of actual measurement, obtain the last X-axis angle of inclination corrected and export.When the X-axis angle of inclination obtained is less than the angle of inclination of actual measurement, the average choosing its difference, as correction radix, the angle of inclination of actual measurement is reduced this correction radix, obtains the last X-axis angle of inclination corrected and exports.
In like manner, the Y-axis actual measurement angle of inclination of the Y-axis angle of inclination obtained under model of fit to gained is corrected.When the Y-axis angle of inclination obtained is greater than the angle of inclination of actual measurement, the average choosing its difference, as correction radix, is increased on the angle of inclination of actual measurement, obtains the last Y-axis angle of inclination corrected and exports.When the Y-axis angle of inclination obtained is less than the angle of inclination of actual measurement, the average choosing its difference, as correction radix, the angle of inclination of actual measurement is reduced this correction radix, obtains the last Y-axis angle of inclination corrected and exports.
To sum up, angle of inclination parameter fitness method for inclination angle fulcrum of the present invention, angle of inclination is accurately calculated by model of fit, can avoid thus directly measuring the error existed, it is corrected, by this fit approach, have modified the nonlinearity directly measured, make the precision based on the basis measured allows angle of inclination reach very high in conjunction with fitting technique.Existing inclination angle fulcrum precision in measurement is solved not high thereby, it is possible to effective, cannot the problem of automatic calibration, realize matching and the correction of parameter.
By reference to the accompanying drawings embodiments of the present invention are explained in detail above, but the present invention is not limited to above-mentioned embodiment, in the ken that those of ordinary skill in the art possess, can also makes a variety of changes under the prerequisite not departing from present inventive concept.
Claims (5)
1., for an angle of inclination parameter fitness method for inclination angle fulcrum, it is characterized in that, comprise the following steps:
Step 1, according to the step value of setting, inclination angle fulcrum to be measured, obtain the actual measurement angle of inclination in X-axis and Y-axis;
Step 2, structure degree of tilt parameter fitting model, specifically comprise the steps:
Step 2-1, according to different step value, the angle of inclination of inclination angle fulcrum in X-axis to be measured, obtain some groups of X-axis inclination angle value; According to different step value, the angle of inclination of inclination angle fulcrum in Y-axis is measured, obtain some groups of Y-axis inclination angle value;
Step 2-2, adopt line fitting approach to carry out matching respectively to described some groups of X-axis and Y-axis inclination angle value, obtain the fitting data of X-axis and Y-axis;
Step 2-3, respectively structure X-axis and Y-axis angle of inclination fitting function model, and the fitting data of the X-axis of gained and Y-axis is substituted into matching X-axis and Y-axis angle of inclination fitting function model respectively, obtain the parameter of each model;
Step 2-4, each model parameter according to step 2-3 gained, determine X-axis and Y-axis angle of inclination fitting function model;
Step 3, the step value set by step 1 is substituted into the X-axis angle of inclination fitting function model of step 2-4 gained, obtain X-axis angle of inclination; And the step value set by step 1 substitutes into the Y-axis angle of inclination fitting function model of step 2-4 gained, obtains Y-axis angle of inclination;
The X-axis actual measurement angle of inclination of the X-axis angle of inclination that step 4, integrating step 3 obtain to step 1 gained corrects, and the Y-axis actual measurement angle of inclination of Y-axis angle of inclination to step 1 gained that integrating step 3 obtains corrects.
2. according to claim 1 for the angle of inclination parameter fitness method of inclination angle fulcrum, it is characterized in that: described step 2-2 line fitting approach is adopt the method being averaging translation curve zero point to carry out curve fitting.
3. according to claim 1 for the angle of inclination parameter fitness method of inclination angle fulcrum, it is characterized in that: described step 2-4 also comprises and carries out quadratic fit step to X-axis and Y-axis angle of inclination fitting function model.
4. according to claim 1 for the angle of inclination parameter fitness method of inclination angle fulcrum, it is characterized in that: described step 2-1 obtains two groups of X-axis inclination angle value and Y-axis inclination angle value by the two groups of step values set.
5. according to claim 1 for the angle of inclination parameter fitness method of inclination angle fulcrum, it is characterized in that: described step 1 adopts obliquity sensor to obtain the actual measurement angle of inclination of fulcrum in X-axis and Y-axis, inclination angle.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111043831A (en) * | 2019-12-30 | 2020-04-21 | 大连民族大学 | Space angle detection method based on integral method |
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| JP2006077725A (en) * | 2004-09-13 | 2006-03-23 | Honda Motor Co Ltd | Angle adjustment device for inclination sensor in vehicle |
| CN101349559A (en) * | 2008-09-04 | 2009-01-21 | 河北中博联创科技有限公司 | System for testing accurate near sea-route indicator light fitting indication angle and test method thereof |
| CN102288162A (en) * | 2011-05-23 | 2011-12-21 | 南京航空航天大学 | Tilt angle sensor based on optical fiber Bragg gratings and method for measuring tilt angle of tilt angle sensor |
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- 2015-04-30 CN CN201510216445.8A patent/CN104819703B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB2148364B (en) * | 1983-09-28 | 1987-10-14 | Mobil Oil Corp | Foundation level and orientation tool for use in construction of a subsea production platform and a method of using said tool |
| JP2006077725A (en) * | 2004-09-13 | 2006-03-23 | Honda Motor Co Ltd | Angle adjustment device for inclination sensor in vehicle |
| CN101349559A (en) * | 2008-09-04 | 2009-01-21 | 河北中博联创科技有限公司 | System for testing accurate near sea-route indicator light fitting indication angle and test method thereof |
| CN102288162A (en) * | 2011-05-23 | 2011-12-21 | 南京航空航天大学 | Tilt angle sensor based on optical fiber Bragg gratings and method for measuring tilt angle of tilt angle sensor |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111043831A (en) * | 2019-12-30 | 2020-04-21 | 大连民族大学 | Space angle detection method based on integral method |
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