Optics and Precision Engineering, Volume. 30, Issue 12, 1509(2022)

Infrared multi-target dual-station positioning based on maximum density estimation in track direction

Juan YUE1,2, Fanming LI2, and Sili GAO2、*
Author Affiliations
  • 1Key Laboratory of Intelligent Infrared Perception, Chinese Academy of Sciences, Shanghai200083, China
  • 2Shanghai Institute of Technical Physics of the Chinese Academy of Sciences, Shanghai00083, China
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    Figures & Tables(16)
    Schematic of dual-station multi-target initial matching
    Simulation result of GDOP for our dual-station positioning system
    Diagram of target track and 2D histogram of direction
    3D track direction distribution map of a target
    Infrared dual-station positioning system
    Flowchart of experiment
    Infrared imaging data of multi-target
    Initial matching positioning and track fitting results of the 3rd, 7th and 10th target
    2D distribution and maximum range of track direction of the 3rd, 7th and 10th target
    2D histogram of direction of the 3rd, 7th and 10th target
    Maximum density estimation of track direction of the 3rd, 7th and 10th target based on Mean Shift
    Track fitting of the 3rd, 7th and 10th target based on method of histogram
    Track fitting of the 3rd, 7th and 10th target based on proposed method
    • Table 1. Observation data of multi-target

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      Table 1. Observation data of multi-target

      Target ID7th frame12th frame
      S1xS1yS2xS2yS1xS1yS2xS2y
      11281595478122101101
      268948869133134131116
      32997717295138113120
      4411158394105156126142
      58412576106148166117155
      677133114114140173159165
      7121136145117183174190167
      8105140116122166179160173
      9112143116126174182160177
      10143156131143198189171187
    • Table 2. Positioning results of multi-target matching

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      Table 2. Positioning results of multi-target matching

      Target ID in S27th target in S110th target in S1
      XYZΔZXYZΔZ
      1-1 671.26-1 107.93-5.2336.11-1 681.88-1 097.42-18.5449.07
      2-1 684.78-1 116.89-5.2727.86-1 695.36-1 106.21-18.6841.00
      3-1 676.86-1 111.64-5.2526.23-1 687.46-1 101.06-18.6039.32
      4-1 682.45-1 115.35-5.2714.17-1 693.04-1 104.70-18.6627.42
      5-1 679.19-1 113.19-5.257.60-1 689.79-1 102.58-18.6220.87
      6-1 696.85-1 124.89-5.313.25-1 707.39-1 114.06-18.8216.71
      7-1 711.20-1 134.40-5.361.65-1 721.69-1 123.39-18.9715.24
      8-1 697.80-1 125.50-5.31-1.11-1 708.32-1 114.67-18.8312.39
      9-1 697.78-1 125.51-5.31-3.30-1 708.32-1 114.67-18.8310.22
      10-1 704.72-1 130.11-5.33-12.56-1 715.24-1 119.19-18.91.11
    • Table 3. Fit error for each target track

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      Table 3. Fit error for each target track

      Track pointDirect methodHistogram methodProposed method
      3rd7th10th3rd7th10th3rd7th10th
      1-1.003.440.15-1.000.030.12-1.000.090.15
      2-1.002.990.10-1.000.200.06-1.000.260.08
      3-1.003.170.07-1.000.310.06-1.000.300.04
      4-1.0010.630.23-1.00-1.000.23-1.00-1.000.21
      50.262.390.170.260.090.180.280.080.18
      60.202.570.190.200.400.140.200.430.13
      70.4011.100.100.40-1.000.060.40-1.000.07
      80.341.560.440.340.190.420.330.14-1.00
      90.281.530.290.280.100.310.260.210.32
      100.341.200.160.340.210.02-1.000.120.04
      110.090.980.440.090.12-1.000.110.230.28
      120.200.510.730.200.36-1.000.180.15-1.00
      130.200.19-1.000.200.44-1.000.200.33-1.00
      140.250.56-1.000.250.58-1.000.250.42-1.00
      150.081.30-1.000.081.05-1.000.07-1.00-1.00
      160.08-1.00-1.000.08-1.00-1.000.07-1.00-1.00
      170.19-1.00-1.000.19-1.00-1.000.20-1.00-1.00
      平均0.222.940.260.220.310.160.210.230.15
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    Juan YUE, Fanming LI, Sili GAO. Infrared multi-target dual-station positioning based on maximum density estimation in track direction[J]. Optics and Precision Engineering, 2022, 30(12): 1509

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    Paper Information

    Category: Information Sciences

    Received: Feb. 23, 2022

    Accepted: --

    Published Online: Jul. 5, 2022

    The Author Email: GAO Sili (gauss_gao@sina.com)

    DOI:10.37188/OPE.20223012.1509

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