• Optics and Precision Engineering
  • Vol. 30, Issue 20, 2523 (2022)
Qingzhu LI, Zhining LI*, Zhiyong SHI, and Hongbo FAN
Author Affiliations
  • Department of Vehicle and Electrical Engineering, Army Engineering University of PLA, Shijiazhuang050003, China
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    DOI: 10.37188/OPE.20223020.2523 Cite this Article
    Qingzhu LI, Zhining LI, Zhiyong SHI, Hongbo FAN. Multi-target magnetic positioning with the adaptive fuzzy c-means clustering and tensor invariants[J]. Optics and Precision Engineering, 2022, 30(20): 2523 Copy Citation Text show less
    Dense point cloud formed by magnetic dipole positioning results in the recognition area
    Fig. 1. Dense point cloud formed by magnetic dipole positioning results in the recognition area
    Technical route of multi-target adaptive PR detection for magnetic dipoles
    Fig. 2. Technical route of multi-target adaptive PR detection for magnetic dipoles
    Schematic diagram of multi-target magnetic dipoles
    Fig. 3. Schematic diagram of multi-target magnetic dipoles
    Recognition results of MGT, MMA, NSS and CT in the 10 m×10 m survey area
    Fig. 4. Recognition results of MGT, MMA, NSS and CT in the 10 m×10 m survey area
    Magnetic dipole identification area delineated by improved tilt angles θNSSTilt and θCTTilt (contour threshold 0)
    Fig. 5. Magnetic dipole identification area delineated by improved tilt angles θNSSTilt and θCTTilt (contour threshold 0)
    Dense point cloud formed by the solution set of the initial position of the target in the recognition area
    Fig. 6. Dense point cloud formed by the solution set of the initial position of the target in the recognition area
    Adaptive clustering results of AFCM algorithm for initial position point cloud
    Fig. 7. Adaptive clustering results of AFCM algorithm for initial position point cloud
    Experiment 1: grid positioning of five magnets
    Fig. 8. Experiment 1: grid positioning of five magnets
    MGT, MMA, NSS and CT recognition results of five small magnets
    Fig. 9. MGT, MMA, NSS and CT recognition results of five small magnets
    Recognition area of 5 magnet objects delineated by θNSSTilt and θCTTilt (contour threshold 0)
    Fig. 10. Recognition area of 5 magnet objects delineated by θNSSTilt and θCTTilt (contour threshold 0)
    Single-point positioning dense point cloud and AFCM clustering results in the recognition area
    Fig. 11. Single-point positioning dense point cloud and AFCM clustering results in the recognition area
    Experiment 2: grid positioning of four magnets
    Fig. 12. Experiment 2: grid positioning of four magnets
    MGT, MMA, NSS and CT recognition results of four small magnets
    Fig. 13. MGT, MMA, NSS and CT recognition results of four small magnets
    Recognition area of 4 magnet objects delineated by θNSSTilt and θCTTilt (contour threshold 0.3)
    Fig. 14. Recognition area of 4 magnet objects delineated by θNSSTilt and θCTTilt (contour threshold 0.3)
    AFCM clustering results of four magents in the recognition area
    Fig. 15. AFCM clustering results of four magents in the recognition area
    项目预设参数估计参数
    x/my/mz/mM/(A·m2Im/(°)Dm/(°)x/my/mz/mM/(A·m2Im/(°)Dm/(°)
    序号11.00.8-0.957.0651100.9690.849-0.8896.2357.64118.83
    23.81.5-0.7013.5-75203.7691.491-0.64712.05-81.9417.14
    36.51.0-0.6520.0-55856.4910.936-0.60119.60-52.7783.15
    49.20.6-0.6010.575-59.0950.584-0.57610.1868.41-7.98
    51.92.8-0.4011.5-30151.8892.818-0.35911.89-36.8913.79
    64.03.6-0.4514.0771203.9713.571-0.42513.0775.02132.81
    75.64.0-0.805.5-65355.5623.871-0.7334.91-69.7427.51
    87.52.7-0.5512.0-47787.5172.705-0.49911.47-43.8873.64
    99.34.2-0.5013.58599.3064.202-0.44213.2177.1510.84
    101.55.8-0.7511.555951.4935.906-0.70610.9862.5697.98
    113.55.5-0.456.0-65-353.4665.528-0.4185.51-69.69-29.41
    127.05.6-0.6013.0-40856.9815.540-0.58412.80-42.8491.56
    130.88.3-0.5014.0-50350.7878.255-0.46812.56-48.9332.84
    143.37.5-0.5510.580603.3057.517-0.50910.3973.3770.15
    155.46.8-0.7519.5-65-155.3266.815-0.69520.75-68.41-11.84
    168.57.0-0.4012.557-1058.4856.949-0.37311.9852.48-99.84
    172.49.3-0.6512.0-35802.3879.186-0.62511.54-34.1578.27
    184.89.5-0.7018.5-50254.7079.448-0.67517.32-52.8422.36
    196.79.0-0.5510.065906.7009.064-0.5079.6863.3987.14
    209.58.5-0.6515.085-1259.4848.480-0.59413.9582.84-130.28
    估计偏差±0.105 0±0.129 0±0.067 0±1.45
    TEA------96.993.688.489.0--
    TEAd1------95.492.887.888.8--
    TEAd2------94.591.785.686.3--
    Table 1. Preset and estimated physical parameters of the 20 magnetic dipoles
    项目真实位置估计参数
    x0/my0/mz0/mx0/my0/mz0/mM/(A·m2Im/(°)Dm/(°)
    序号10.30.3-0.420.330 60.302 5-0.359 02.584-70.8960.87
    21.90.3-0.451.910 10.302 1-0.426 72.976-66.63-130.16
    30.31.6-0.430.352 31.569 5-0.457 43.112-85.182.24
    41.81.7-0.431.770 11.672 1-0.453 14.298-79.5323.17
    51.21.0-0.431.180 91.021 4-0.377 88.361-72.85-50.69
    估计偏差---±0.052±0.031±0.061---
    序号60.20.2-0.750.208 40.182 0-0.739 34.14260.89-59.43
    71.00.2-0.750.966 30.234 4-0.688 111.792-78.33108.79
    80.21.0-0.750.210 61.012 9-0.674 823.56182.46-97.11
    91.01.0-0.750.942 50.950 4-0.659 57.03481.27-52.65
    估计偏差---±0.058±0.049±0.091---
    Table 2. Real positions and estimated physical parameters of the nine magnets in the positioning experiment
    Qingzhu LI, Zhining LI, Zhiyong SHI, Hongbo FAN. Multi-target magnetic positioning with the adaptive fuzzy c-means clustering and tensor invariants[J]. Optics and Precision Engineering, 2022, 30(20): 2523
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