Optimization method for compensating measurement data precision

Abstract

The invention belongs to the field of measurement and calculation, and provides an optimization method for compensating the precision of measurement data, which comprises the following steps: (1) carrying out coordinate measurement on points by using a point measuring instrument to obtain a coordinate value of a spherical coordinate system or a coordinate value of a rectangular coordinate system; (2) randomly combining three measurement points with known relative position relations in the measurement points as a group; (3) carrying out model establishment on the selected three measurement points; (4) establishing a trigonometric function relationship; (5) calculating a root according to a Newton iteration method and establishing a calculation reasoning relation; (6) taking the measured value as an initial value, and substituting the initial value into the equation set; and (7) terminating calculation conditions. According to the calculation method, under the condition that the precision of the measurement equipment cannot meet the requirement, a mathematical model is established and designed by utilizing the measurement points with the known fixed distance, and a measurement value is reversely optimized by a Newton iteration method rooting method.

Description

Technical Field

[0001] The present invention belongs to the field of measurement and calculation, and relates to a method for calculating the coordinate values of measurement points, and particularly to a method for optimizing the calculation when there are errors in the coordinate measurement values of the equipment for points. Background Art

[0002] Aircraft calibration is widely used in the ground support work of aircraft. In the prior art, common aircraft calibration devices mainly consist of two parts: measurement and calculation, and can complete the basic calibration tasks of aircraft.

[0003] The Chinese utility model patent with the application number CN219347782U discloses an aircraft inertial navigation calibration system, which mainly obtains and calibrates the attitude of the installation position of the aircraft inertial navigation through data acquisition and analysis.

[0004] However, for the current existing point measurement devices, their measured values are directly used for calculation. When the distance between two points is relatively close, the errors existing in the measurement device itself will have a greater impact on the relative relationship between the measured points, and the final accuracy requirements of the device will not be met. Summary of the Invention

[0005] The main problem to be solved by the present invention is the problem of large errors in the calculation using the measured values of the existing equipment for measurement points with relatively close distances in the above-mentioned prior art.

[0006] To solve the above technical problems, the present invention provides an optimization method for compensating the accuracy of measurement data, including: (1) a point measuring instrument measures the coordinates of points to obtain spherical coordinate system coordinate values or rectangular coordinate system coordinate values; (2) randomly combines 3 measurement points with known relative position relationships among the measurement points as a group; (3) establishes a model for the selected 3 measurement points; (4) establishes a trigonometric function relationship; (5) establishes a calculation and reasoning relationship based on the Newton iteration method for root finding; (6) takes the measured value as the initial value and substitutes it into the equation set; (7) termination calculation conditions. If the coordinate value is a spherical coordinate system coordinate value, the value is processed and converted into a rectangular coordinate system coordinate value; the final result is substituted into subsequent calculations.

[0007] Due to the optimization of the coordinate point data in the above method, the equipment errors caused by the measurement data errors for points with close distances can be solved. Brief Description of the Drawings

[0008] Figure 1 It is a schematic diagram of the point position distribution;

[0009] Figure 2 For Figure 1 The selected points and their relationship schematic diagram in Detailed Description of the Invention

[0010] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings of the embodiments of the present invention. The situation of existing measurement devices is that the accuracy of angle measurement is much greater than that of distance measurement. Therefore, the improvement method of the present invention optimizes its distance measurement.

[0011] As Figure 1 , Figure 2 shown: Figure 1 A schematic diagram of the position distribution of measurement points is provided. There are three points in each of the upper and lower rows. The upper row is (A1, A2, A3), and the lower row is (C1, C2, C3). The distances between each point are known. Figure 2 A schematic diagram of constructing a spatial triangular relationship with three selected points is provided. The optimization calculation method includes:

[0012] (1) The point measuring instrument measures the coordinates of the points to obtain the coordinate values in the spherical coordinate system or the rectangular coordinate system;

[0013] (2) Randomly combine three measurement points with known relative position relationships among the measurement points as a group;

[0014] (3) Establish a model for the three selected measurement points from point P, take A1, C1, and A3 as reference points, and the initial measurement values are A1(r1, θ1, ψ1), C1(r2, θ2, ψ2), A3(r3, θ3, ψ3), and calculate Figure 2 ∠A1, ∠A2, and ∠A3 in it.

[0015] (4) Take x, y, and z as the final optimized results of r1, r2, and r3. Given that a1, a2, and a3 are known distances, three sets of trigonometric function relationships can be obtained;

[0016]

[0017] (5) According to the root finding of Newton's iterative method, the reasoning relationship is as follows:

[0018]

[0019] (6) Substitute the measured values as the initial values into the equations. Among them, x 0＝ r1, y 0＝ r2, z 0＝ r3 are the measured values.

[0020]

[0021] (7) Meet the termination calculation conditions.

[0022] When , terminate the calculation and obtain the result.

[0023] If the coordinate values are in spherical coordinate system, the numerical values are processed and converted into rectangular coordinate values.

[0024] Transformation from spherical coordinate system to rectangular coordinate system:

[0025]

[0026] The experimental data are as follows: After performing the optimization calculation, the comparison of the initial value and the optimized value results:

[0027]

[0028]

[0029] It can be observed that the optimized values are different from the initial values. Substituting the optimized values into the fixed distance relationship can better satisfy the relative relationship between each measurement point. Substituting the optimized coordinate results into the subsequent calculations can repair the deviation caused by the inherent error of the measuring instrument. When the position distribution of points is not in a plane, the same method can be used to optimize the coordinate values.

Claims

1. An optimization method for compensating for the accuracy of measurement data, characterized in that: (1) The point measuring instrument measures the coordinates of the point and obtains the coordinate values; (2) Randomly combine three measurement points whose relative position relationships are known into a group; (3) Establish a model for the three selected measurement points; (4) Establish trigonometric relationships; (5) Establish computational reasoning relationships based on Newton's iterative method to find roots; (6) Substitute the measured values ​​as initial values ​​into the equation system; (7) Termination conditions of calculation.

2. The optimization method for compensating for the accuracy of measurement data according to claim 1, characterized in that: After the step (1) is completed, the three points selected are points at arbitrary positions with known distances in space.

3. The optimization method for compensating the accuracy of measurement data according to claim 1, characterized in that: After the step (1) is completed, if the coordinate value is a coordinate value of another coordinate system, the value is processed and converted into a coordinate value of a rectangular coordinate system.

4. The optimization method for compensating for the accuracy of measurement data according to claim 1, characterized in that: After step (7) is completed, the final result is used in subsequent calculations.

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