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Method for precision measurement of points on space surface and space surface by barycenter coordinate

A center-of-gravity coordinates and precision measurement technology, applied in the direction of measuring devices, mechanical measuring devices, mechanical counters/curvature measurement, etc., can solve problems such as difficult calculations, measurement errors, and wrong measurement results

Inactive Publication Date: 2009-03-11
HONGTA TOBACCO GRP
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  • Abstract
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AI Technical Summary

Problems solved by technology

[0004] If the measurement radius compensation is turned off when measuring a space surface, the acquired coordinate data is not the coordinate data on the contour surface, but the coordinate position of the stylus center; if the stylus radius compensation is enabled, the measurement theory requires the stylus to move along the measured point The normal vector is used for approach compensation measurement, otherwise measurement errors or wrong measurement results will occur, but it is not easy to calculate the normal vector of the measured point on any space surface

Method used

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  • Method for precision measurement of points on space surface and space surface by barycenter coordinate
  • Method for precision measurement of points on space surface and space surface by barycenter coordinate
  • Method for precision measurement of points on space surface and space surface by barycenter coordinate

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Embodiment 1

[0060] Embodiment 1: Measurement and program design method of any feature point on any space surface

[0061] The precise measurement of points on any space surface cannot be completed in manual mode, and a program must be designed to automatically measure in NC mode.

[0062] see Figure 4 and Figure 5 , let the projection coordinates of any feature point on the space surface in XOY be: (x0, y0), let it be the center of gravity coordinate G, then the apex coordinate of the regular triangle is M1 j+1 (x0-2d / 3, y0), M3 j+1 (x0+d / 3, y0-k) and M3 j+3 (x0+d / 3, y0+k). In this way, the conditional points on the space surface that are projected as equilateral triangles have been determined, and the z coordinates of the three points are undetermined. Turn off the radius compensation of the stylus, measure the three points, obtain their three-dimensional coordinates, and calculate the miniature of the three points. The coordinates of the center of gravity of the triangle and its ...

Embodiment 2

[0075] Embodiment 2: measurement of space surface

[0076] Several measurement points are successively established on the projection surface of the space surface, and the precise coordinate values ​​of each measurement point are obtained by using the above method respectively, so as to obtain the entire contour coordinate value on the space surface.

[0077] Figure 7 see as image 3 projection, such as Figure 7 As described above, in establishing the coordinate system at the center of rotation of the space surface, in the projected XOY coordinates, the space rotation surface is measured with equal divisions. To ensure that M3 j+1 , M3 j+3 and M1 j+2 An equilateral triangle is formed in projected XOY coordinates. From Figure 7 Geometric analysis: the height of the equilateral triangle is d, and the polar angle variation of each vertex is the same θ, M1 j+2 , positive ΔABC center and M3 j+1 The polar radii of the points are R1, R2, R3, respectively. Then get the mat...

Embodiment 3

[0092] Embodiment 3: space surface test on the standard sphere:

[0093] The contour on the standard sphere can be regarded as a space curved surface. Since the standard sphere has a high-precision contour surface, it is the reference calibration ball of the measuring machine. If the above-mentioned theoretically designed program is used to test the space curved surface on the standard sphere, then the test result It can also be used as a scientific basis for evaluating measurement procedures and methods.

[0094] The parameters of the standard ball are: the diameter deviation is 0.00015mm, and the average diameter is about 15.875152mm. Such as Figure 8 , establish a measurement coordinate system on the sphere, and its center is set at the center of the sphere, and test the space surface of the upper hemisphere:

[0095] The first step: according to Figure 4 To construct the geometric characteristics of a regular triangle, first determine the position of each vertex of th...

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Abstract

The invention relates to a method for precisely measuring points on a space curved surface by using the barycentric coordinate, which comprises the following steps: (1) a miniature triangle with a projecting plane being a regular triangle is established on the space curved surface, and the projective point (M) of a measuring point (G) on the space curved surface is positioned at the center of the regular triangle; (2) according to the plane coordinate of the projective point (M), the plane coordinates of three vertices of the regular triangle on the projecting plane are calculated; (3) radius compensation of a measuring needle is closed to cause the measuring needle to measure the z coordinates of the three vertices of the miniature triangle along the vector direction perpendicular to the projecting plane; (4) the barycentric coordinate of the miniature triangle is calculated by using the space coordinates of the three vertices of the miniature triangle; (5) normal vector of the miniature triangle on the space curved surface is calculated; and (6) by taking the normal vector as the approach and compensation direction of the measuring needle, and the barycentric coordinate as a measurement target point, the radius compensation of the measuring needle is started to obtain a precise measured value of the measuring point (G); and the whole measurement process is automatically completed by the CNC system of a measuring machine. The method can also be used for measuring the complex space curved surface and has very high measurement precision.

Description

technical field [0001] The invention relates to a method for precisely measuring points on a space curved surface and a space curved surface. In particular, it relates to the method of creating micro-triangles on arbitrary space surfaces, completing the calculation of their direction cosines, and using their normal vectors to implement precise measurement of arbitrary space surfaces on a three-coordinate measuring machine. It is suitable for the testing of spatial surfaces on measuring machines in the field of machinery manufacturing, such as reverse engineering; it is also suitable for the research of precision testing technology on arbitrary spatial surfaces on measuring machines, including research on the control system and software system of measuring machines, and the functions of measuring machines modular design, etc. Background technique [0002] In the measurement test of any space curved surface by three-coordinate measurement, the key technology is how to compens...

Claims

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Application Information

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IPC IPC(8): G01B5/008G01B5/20
Inventor 李存华
Owner HONGTA TOBACCO GRP
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