An improved self-calibration algorithm for multilateration coordinates measuring system

Miao, Dongjing; Wang, Guolei; Li, Jianshuan; He, Ming-Ming; Yao, Kun

doi:10.1117/12.2243433

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…Tests revealed that the length measurement uncertainty is less than 0.4 µm within a measurement volume of 1 m 3 . The National Institute of Metrology, China (NIM) [18] researched the laser multilateral coordinate measurement system. The experiments showed that the coordinate errors are less than 8.9 µm in 1.4 m × 3.7 m × 1.3 m rectangular space.…”

Section: Measurement Science and Technologymentioning

confidence: 99%

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A new large-scale posture measurement system based on a six-laser tracer multilateral method

Zheng

Miao

et al. 2020

Meas. Sci. Technol.

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To realize high-accuracy posture measurement in large scale, a posture measurement system is proposed in this study based on a six-laser multilateral method, mainly composed of six laser tracers and three reflectors-a different number of laser tracers tracks each mirror. But in this state, the system is positive definite, and it cannot achieve the system parameters by self-calibration. To solve this problem, a stepwise calibration method to obtain the system parameters by three-step calibration is presented. Simulations and experiments are carried out to verify the effectiveness of the proposed method. The experimental results show that the posture errors are distributed over [−13.6″, 6.6″] when the measurement range is [5 m, 7 m], which shows that the new measurement system has a high posture measurement accuracy in large scale.

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Section: Measurement Science and Technologymentioning

confidence: 99%

“…In the process of system stepwise calibration, the method of adding the reference length is adopted to improve the accuracy of the system stepwise calibration [18]. As shown in figure 7, there are seven fixed points P 1 , .…”

Section: System Parameter Self-calibration Experimentsmentioning

confidence: 99%

A new large-scale posture measurement system based on a six-laser tracer multilateral method

Zheng

Miao

et al. 2020

Meas. Sci. Technol.

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“…Their device was used in research by Ezedine from Aix-Marseille University, who constructed a multilateral system to compensate for the error of extra-small machine tools [12]. Miao et al from the National Institute of Metrology, China (NIM), proposed a self-calibration algorithm for multilateral systems, using a standard length, measured by a laser interferometer, to provide optimal system equations [13].…”

Section: Measurement Science and Technologymentioning

confidence: 99%

A multilateral laser-tracking three-dimensional coordinate measuring system based on plane constraint

Zhang

2019

Meas. Sci. Technol.

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In a multilateral laser-tracking three-dimensional (3D) coordinate measuring system, the error caused by the laser tracker angle measurement is not an issue, while the 3D coordinates of space points are determined using only distance measurement data. Thus in order to improve the accuracy of the whole system it is crucial to calibrate the parameters of the multilateral system with precision. To this end, a parameter-calculating method based on plane constraint is proposed in this paper. A standard plane constraint is used to provide optimal system equations without increasing the number of unknowns. Moreover, while a traditional multilateral system requires at least four stations of laser-tracking measurement, a system based on plane constraint produces more equations, reducing the number of required stations to three. A method for obtaining the required standard plane at the measurement site is also presented in this paper, thus making the above-mentioned scheme feasible. In order to highlight the advantages of a multilateral system over a long distance, an experiment is set up where three scale bars are placed within the range of 25-38 m. The experiment shows that the measurement error of scale bars using a four-station plane constraint model is distributed within the range from 10 to 49 µm, with an average value of 29 µm, while the error using the three-station model is distributed within the range from 31 to 55 µm, with an average value of 39 µm. Using traditional four-station multilateral method the error is distributed from 33 to 79 µm, with an average of 56 µm. The accuracy of the system based on plane constraint appears to be improved compared with single-station measurement and traditional multilateral systems.

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“…And three stations' self-calibration method needs high precision planes to constrain target points. The method that can improve the precision of self-calibration in the four laser tracking interferometers system, by using the extra standard length to constrain target points, was proposed by Miao D [4] . A multilateral laser tracking 3D coordinate measuring system, based on plane constraint proposed by Zhang F [5] .…”

Section: Introductionmentioning

confidence: 99%

Research on the influence of stations layout of multilateration measurement system on coordinate measurement accuracy

Liang

Miao²,

Li³

et al. 2023

AOPC 2022: Novel Optical Design; And Optics Ultra Precision Manufacturing and Testing

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A multilateration system is a 3-dimensional coordinate measurement system, through measuring multiple distances between a target point and laser interferometry measuring instruments, with high precision and large measuring scare, which consists of three laser trackers or tracers at least. A quantifiable analysis method is proposed, for the effect of stations’ mutual position relationship on the measurement accuracy of the multilateration system. The method is based on a mathematical model which linearizes the relationship between the coordinate measurement error of the system and the distance measurement error of laser trackers. Some methods, optimizing the mutual position relationship of stations, are derived from the model, which can improve the measurement accuracy. The rationality of the methods is verified by simulations and experiments. The results show that the max error of the multilateration system improved is only 0.020mm, which is better than a laser tracker. The multilateration system, with the optimized layout of stations, has higher precision.

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An improved self-calibration algorithm for multilateration coordinates measuring system

Cited by 4 publications

References 4 publications

A new large-scale posture measurement system based on a six-laser tracer multilateral method

A new large-scale posture measurement system based on a six-laser tracer multilateral method

A multilateral laser-tracking three-dimensional coordinate measuring system based on plane constraint

Research on the influence of stations layout of multilateration measurement system on coordinate measurement accuracy

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