Optics and Precision Engineering, Volume. 30, Issue 20, 2523(2022)

Multi-target magnetic positioning with the adaptive fuzzy c-means clustering and tensor invariants

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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    Figures & Tables(17)
    Dense point cloud formed by magnetic dipole positioning results in the recognition area
    Technical route of multi-target adaptive PR detection for magnetic dipoles
    Schematic diagram of multi-target magnetic dipoles
    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)
    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
    Experiment 1: grid positioning of five magnets
    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)
    Single-point positioning dense point cloud and AFCM clustering results in the recognition area
    Experiment 2: grid positioning of four magnets
    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)
    AFCM clustering results of four magents in the recognition area
    • Table 1. Preset and estimated physical parameters of the 20 magnetic dipoles

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      Table 1. Preset and estimated physical parameters of the 20 magnetic dipoles

      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 2. Real positions and estimated physical parameters of the nine magnets in the positioning experiment

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      Table 2. Real positions and estimated physical parameters of the nine magnets in the positioning experiment

      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---
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    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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    Paper Information

    Category: Information Sciences

    Received: Apr. 23, 2022

    Accepted: --

    Published Online: Oct. 27, 2022

    The Author Email: Zhining LI (lgdsxq@163.com)

    DOI:10.37188/OPE.20223020.2523

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