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| Calculation of Base Station Coordinate for Tracking Interferometer with Gauss-Newton Algorithm Realized by C# |
| TANG Wen-xiu1,LIN Hu2,XUE Zi2,QIN Hai-meng3,TIE Mi-mi1 |
1. School of Instrumentation Science and Opto-electronics Engineering, Beijing Information Science and Technology University, Beijing 100192, China
2. National Institute of Metrology, Beijing 100029, China
3. School of Precision Instrument and Optoelectronics Engineering, Tianjin University, Tianjin 300072, China |
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Abstract In order to solve the base station coordinates for tracking interferometer with C# programming language, the calibration principle of the spatial coordinates of base station is studied. It is pointed out that the problem for calculation of base station coordinates will be turned into nonlinear least square problem in essence, so the Gauss-Newton algorithm is applied for solving this problem and its principle is analyzed. Furthermore, Gauss-Newton algorithm are realized by two programming methods: C# and MATLAB mixed programming, only by C# programming. The key technologies for these two programming methods are described in detail, the shortcomings of mixed programming are pointed out as well. The experimental system is established by the combination of a coordinate measuring machine and a laser tracking interferometer, and calibration experiments are carried out at three different base stations respectively. The experimental results show the difference between the result of C# programming and the result of C# calling MATLAB function is an amount of 10-7 orders of magnitude, and its more efficient, which verifies the calculation accuracy of base station coordinates for tracking interferometer with Gauss-Newton algorithm implemented by C#, and this lays a foundation for the subsequent development of the data acquisition and processing software of the laser tracking interferometer.
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Received: 07 May 2019
Published: 08 June 2020
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2020, Vol. 41 
