A Novel Three-Dimensional Coordinate Positioning Algorithm Based on Factor Graph

Qiang, Hao; Ya, Zhang; Pan, Junjun; Yin, Hong; Xu, Dingjie

doi:10.1109/access.2020.3034425

Cited by 3 publications

(3 citation statements)

References 21 publications

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“…To eliminate other errors, only one transmitter was selected to finish the coordinate measurement accuracy evaluation by multi-position measurement. After the extrinsic parameters and model parameters of the transmitters were calibrated, the 3-D coordinates of receivers could be calculated by Equation (5).…”

Section: Verification By Coordinate Measurementmentioning

confidence: 99%

“…Rotary laser scanning measurement systems, represented by a workshop measurement positioning system (wMPS) and an indoor global positioning system (iGPS), play a vital role in many manufacturing industries due to their excellent full-circumference and parallel multi-target measurement capabilities [1][2][3][4][5][6]. However, the complicated environment, involving vibration and temperature changes in industrial sites, has a significant influence on the mechanical structure of the wMPS transmitters and further degrades the measurement performance over time.…”

Section: Introductionmentioning

confidence: 99%

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An Angle Precision Evaluation Method of Rotary Laser Scanning Measurement Systems with a High-Precision Turntable

Zhang,

Lin,

Shi

et al. 2023

Photonics

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Rotary laser scanning measurement systems, such as the workshop measurement positioning system (wMPS), play critical roles in manufacturing industries. The wMPS realizes coordinate measurement through the intersection of multiple rotating fanned lasers. The measurement model of multi-laser plane intersection poses challenges in terms of accurately evaluating the system, making it difficult to establish a standardized evaluation method. The traditional evaluation method is based on horizontal and vertical angles derived from scanning angles, which are the direct observation of wMPS. However, the horizontal- and vertical-angle-based methods ignore the assembly errors of fanned laser devices and mechanical shafts. These errors introduce calculation errors and affect the accuracy of angle measurement evaluation. This work proposes a performance evaluation method for the scanning angle independent of the assembly errors above. The transmitter of the wMPS is installed on a high-precision turntable that provides the angle reference. The coordinates of enhanced reference points (ERP) distributed in the calibration space are measured by the laser tracker multilateration method. Then, the spatial relationship between the transmitter and the turntable is reconstructed based on the high-precision turntable and the good rotational repeatability of the transmitter. The simulation was carried out to validate the proposed method. We also studied the effect of fanned laser devices and shaft assembly errors on horizontal and vertical angles. Subsequently, the calibration results were validated by comparing the residuals with those derived from the space-resection method. Furthermore, the method was also validated by comparing the reference and scanning angles. The results show that the maximum angle measurement error was approximately 2.79″, while the average angle measurement error was approximately 1.26″. The uncertainty (k = 1) of the scanning angle was approximately 1.7″. Finally, the coordinate measurement test was carried out to verify the proposed method by laser tracker. The results show that the average re-scanning error was 2.17″.

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Section: Verification By Coordinate Measurementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Angle Precision Evaluation Method of Rotary Laser Scanning Measurement Systems with a High-Precision Turntable

Zhang,

Lin,

Shi

et al. 2023

Photonics

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show abstract

“…However, this method requires several iterations and is computationally intensive. In the literature [17], Hao et al aim at the character of plug and play for iGPS. A factor graph model based on a Bayesian network is built, and then a sum product algorithm is used to convert the fixed model into the form of the product of each node, which reduces the independence of measurement information and improves the confidence of the results.…”

Section: Introductionmentioning

confidence: 99%

A Moving Target Online Location Algorithm Based on Factor Graph

Wang

Zhang

et al. 2023

International Journal of Aerospace Engineering

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The superior performance of factor graphs compared to Kalman filtering in various fields and the use of factor graph algorithms instead of Kalman filtering algorithms in moving target localization tasks can reduce target localization error by more than 50%. However, the global factor graph algorithm may cause computational delays due to excessive computational effort. A moving target localization algorithm based on a combination of global and incremental optimization with improved factor graphs is proposed to improve localization accuracy and ensure that the computation time can be adapted to the requirements of online location. A reference point is introduced into the incremental calculation process, and it is first determined whether global or incremental calculation is used for this calculation by comparing the distance between the incremental localization results of the calculated reference point. The position of the UAV itself is then corrected by determining the position of the reference point, and this is used to finally locate the target. Simulation results show that the algorithm has good real-time performance compared to the time-consuming global algorithm. The online localization error of moving targets can be reduced by 17% compared to the incremental calculation results of the classical factor graph algorithm.

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Adaptive separation method for mixed pulse sequences based on time-frequency analysis

Liu,

Li,

Zhang

et al. 2024

Optics and Lasers in Engineering

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A Novel Three-Dimensional Coordinate Positioning Algorithm Based on Factor Graph

Cited by 3 publications

References 21 publications

An Angle Precision Evaluation Method of Rotary Laser Scanning Measurement Systems with a High-Precision Turntable

An Angle Precision Evaluation Method of Rotary Laser Scanning Measurement Systems with a High-Precision Turntable

A Moving Target Online Location Algorithm Based on Factor Graph

Adaptive separation method for mixed pulse sequences based on time-frequency analysis

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