• Optics and Precision Engineering
  • Vol. 30, Issue 12, 1509 (2022)
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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    DOI: 10.37188/OPE.20223012.1509 Cite this Article
    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 Copy Citation Text show less
    Schematic of dual-station multi-target initial matching
    Fig. 1. Schematic of dual-station multi-target initial matching
    Simulation result of GDOP for our dual-station positioning system
    Fig. 2. Simulation result of GDOP for our dual-station positioning system
    Diagram of target track and 2D histogram of direction
    Fig. 3. Diagram of target track and 2D histogram of direction
    3D track direction distribution map of a target
    Fig. 4. 3D track direction distribution map of a target
    Infrared dual-station positioning system
    Fig. 5. Infrared dual-station positioning system
    Flowchart of experiment
    Fig. 6. Flowchart of experiment
    Infrared imaging data of multi-target
    Fig. 7. Infrared imaging data of multi-target
    Initial matching positioning and track fitting results of the 3rd, 7th and 10th target
    Fig. 8. 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
    Fig. 9. 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
    Fig. 10. 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
    Fig. 11. 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
    Fig. 12. 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
    Fig. 13. Track fitting of the 3rd, 7th and 10th target based on proposed method
    Target ID7th frame12th frame
    S1xS1yS2xS2yS1xS1yS2xS2y
    11281595478122101101
    268948869133134131116
    32997717295138113120
    4411158394105156126142
    58412576106148166117155
    677133114114140173159165
    7121136145117183174190167
    8105140116122166179160173
    9112143116126174182160177
    10143156131143198189171187
    Table 1. Observation data of multi-target
    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 2. Positioning results of multi-target matching
    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
    Table 3. Fit error for each target track
    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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