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Accuracy traceability method based on precision coordinate control network for workshop measurement positioning system

  • US 9,658,055 B2
  • Filed: 03/25/2014
  • Issued: 05/23/2017
  • Est. Priority Date: 11/20/2013
  • Status: Active Grant
First Claim
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1. An accuracy traceability method based on precision coordinate control network for wMPS(workshop Measurement Positioning System), comprising the following steps:

  • Step 1;

    providing N SMR nests and M stations in the measurement space and arranging a laser tracker (201) in station 1;

    Step 2;

    arranging an SMR (202) on SMR nest 1 to form a global control point 1, measuring 3-d coordinates of global control point 1, and by the same manner, moving the SMR(202) to SMR 2, SMR 3 . . . until SMR N−

    1 and SMR N respectively to measure the 3-d coordinates of global control point 2, global control point 3 . . . until global control point N−

    1 and global control point N;

    Step 3;

    arranging the laser tracker (201) on station 2, station 3 . . . until station M−

    1 and station M in sequence, and repeating the step 2 after each time the laser tracker (201) is moved, thus obtaining measurements for all the global control points via all the stations and in the step 2 and step 3, the laser tracker (201) must measure at least 3 global control points at each station;

    Step 4;

    calculating the positions (locations and orientations) of stations according to the 3-d coordinates of all global control points at all stations, thus obtaining initial iteration values of 3-d coordinates of all the stations and global control points;

    Step 5;

    using the range value from station to global control point measured by the laser tracker (201) as a constraint to establish optimization goal equation for adjustment calculation;

    by using the dynamic weighting method, tracing the measurement accuracy of 3-d coordinates of global control points to that of the interferometer range measurement of the laser tracker (201), thus establishing the precision coordinate control network;

    wherein the detailed steps of establishing the precision coordinate control network comprise;

    Step 5-1;

    according to the 3-d coordinates of global control points in individual station coordinates, calculating the range value rij of the laser tracker;

    wherein, i represents the ith station, i=1,2, . . . , M;

    j represents the jth global control point, j=1,2, . . . , N;

    Step 5-2;

    taking the coordinates of station 1 as the global coordinates to calibrate each stations, and calculating the 3-d coordinates of global control points (xj0 yj0 zj0) and station (xi0 yi0 zi0) of the laser tracker in global coordinates, which are taken as the initial values during the optimization process;

    Establishing redundant range equations in global coordinates, the formula is expressed as follows;


    lij=√

    {square root over ((xj

    X
    i)2+(yi

    Y
    i)2+(zj

    Z
    i)2)} 



    (1)Wherein, lij is range value, formula (1) is expanded by (xj0 yj0 zj0) and (Xi0 Yi0 Zi0) via first order Taylorseries expansion to obtain;

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