Spacecraft Recovery & Remote Sensing, Volume. 45, Issue 3, 28(2024)

Infrared Small Target Detection Based on Four-Dimensional Spatial-Temporal Tensor

Yuan LUO1, Xiaorun LI1, Shuhan CHEN1, and Chaoqun XIA2
Author Affiliations
  • 1Zhejiang University, Hangzhou 310027, China
  • 2Wenzhou University, Wenzhou 325035, China
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    Figures & Tables(7)
    [in Chinese]
    [in Chinese]
    [in Chinese]
    [in Chinese]
    • Table 1. 3-D ROC-derived AUC results of competitive methods for Seq. 1

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      Table 1. 3-D ROC-derived AUC results of competitive methods for Seq. 1

      评价参数TD指标BS指标ODP指标
      注:1)$ {\lambda }_{\mathrm{L}} $表示因子参数。
      $ f $$ p$$ {\lambda }_{\mathrm{L}} $1)$ \mu $AUC(D,τ)AUCTDAUCBSAUC(F,τ)AUCSNPRAUC(D,F)AUCTDBSAUCODP
      25552.49.00×10−60.9911.9911.0004.39×10−52.26×1041.0000.9911.991
      30552.49.00×10−60.9961.9961.0002.96×10−53.36×1041.0000.9961.996
      35552.49.00×10−60.9971.9971.0002.72×10−53.67×1041.0000.9971.997
      40552.49.00×10−60.9971.9971.0002.71×10−53.68×1041.0000.9971.997
      45552.49.00×10−60.9971.9971.0002.85×10−53.50×1041.0000.9971.997
      40452.49.00×10−60.9981.9981.0003.28×10−43.04×1031.0000.9971.997
      40502.49.00×10−60.9981.9980.9991.35×10−37.41×1021.0000.9971.997
      40552.49.00×10−60.9971.9971.0002.71×10−53.68×1041.0000.9971.997
      40602.49.00×10−60.9971.9971.0001.00×10−49.95×1031.0000.9971.997
      40652.49.00×10−60.9761.9560.983.07×10−73.18×1060.9800.9761.956
      405529.00×10−60.9981.9981.0004.27×10−42.34×1031.0000.9971.997
      40552.29.00×10−60.9971.9971.0001.05×10−49.52×1031.0000.9971.997
      40552.49.00×10−60.9971.9971.0002.71×10−53.68×1041.0000.9971.997
      40552.69.00×10−60.9951.9951.0007.53×10−61.32×1051.0000.9951.995
      40552.89.00×10−60.9931.9931.0002.50×10−63.97×1051.0000.9931.993
      40552.46.00×10−60000NaN000
      40552.49.00×10−60.9971.9971.0002.71×10−53.68×1041.0000.9971.997
      40552.41.20×10−50.9981.9980.9981.72×10−35.81×1021.0000.9961.996
      40552.41.50×10−50.9991.9990.9821.81×10−25.53×1011.0000.981.98
    • Table 2. 3-D ROC-derived AUC results of competitive methods for Seqs. 1~5

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      Table 2. 3-D ROC-derived AUC results of competitive methods for Seqs. 1~5

      实验数据指标类别指标名称各方法的AUC结果
      ELUMPSTNNRIPTMETTRTSPK4D-TR本文方法
      序列1TDAUC(D,τ)0.9790.7600.9840.9960.9400.9960.997
      AUCTD1.9791.5201.9841.9961.8801.9961.997
      BSAUCBS0.9980.7601.0000.6750.9380.8911.000
      AUC(F,τ)2.221×10−30.0003.063×10−40.3252.475×10−30.1092.706×10−5
      AUCSNPR4.411×1026.554×1043.212×1033.0623.798×1029.1133.683×104
      ODPAUC(D,F)1.0000.7601.0001.0000.9401.0001.000
      AUCTDBS0.9770.7600.9840.6710.9380.8870.997
      AUCODP1.9771.5201.9841.6711.8781.8871.997
      序列2TDAUC(D,τ)0.7960.3900.8980.9360.960.9840.963
      AUCTD1.7960.7801.8881.9361.961.9791.963
      BSAUCBS0.9970.3900.9890.6520.9980.7111.000
      AUC(F,τ)2.445×10−34.579×10−71.066×10−30.3482.46×10−30.2841.896×10−4
      AUCSNPR3.255 ×1028.516×1058.423×1022.6883.906×1023.4675.076×103
      ODPAUC(D,F)1.0000.3900.9891.0001.0000.9951.000
      AUCTDBS0.7930.3900.8970.5880.9580.7000.962
      AUCODP1.7930.7801.8871.5871.9581.6951.962
      序列3TDAUC(D,τ)0.9620.9470.9570.9870.9330.9961.000
      AUCTD1.9621.9171.9571.9871.8731.9962.000
      BSAUCBS0.9990.9701.0000.7160.9390.9021.000
      AUC(F,τ)1.101×10−31.832×10−53.506×10−40.2841.294×10−39.826×10−21.031×10−6
      AUCSNPR8.735×1025.170×1042.730×1033.4817.212×1021.014×1019.697×105
      ODPAUC(D,F)1.0000.9701.0001.0000.9391.0001.000
      AUCTDBS0.9610.9470.9570.7030.9320.8981.000
      AUCODP1.9611.9171.9571.7031.8721.8982.000
      序列4TDAUC(D,τ)0.9420.6610.9780.9570.9850.9940.972
      AUCTD1.9421.3511.9781.9571.9851.9941.955
      BSAUCBS0.9990.6900.9990.7870.9950.9240.983
      AUC(F,τ)6.259×10−41.651×10−51.469×10−30.2135.245×10−37.563×10−21.196×10−5
      AUCSNPR1.506×1034.004×1046.662×1024.4971.878×1021.314×1018.127×104
      ODPAUC(D,F)1.0000.6901.0001.0001.0001.0000.983
      AUCTDBS0.9420.6610.9770.7450.9800.9180.972
      AUCODP1.9421.3511.9771.7441.9801.9181.955
      序列5TDAUC(D,τ)0.5250.0000.9100.8980.8230.9960.990
      AUCTD1.5220.0001.9101.8951.7931.9961.980
      BSAUCBS0.995-1.800×10−50.9990.5070.9680.9340.990
      AUC(F,τ)2.706×10−31.800×10−57.111×10−40.4901.669×10−36.625×10−21.243×105
      AUCSNPR1.939×1020.0001.279×1031.8334.934×1021.503×1017.965×104
      ODPAUC(D,F)0.9970.0001.0000.9970.9721.0000.990
      AUCTDBS0.522-1.800×10−50.9090.4080.8220.9300.990
      AUCODP1.519-1.800×10−51.9091.4051.7921.9301.980
    • Table 3. [in Chinese]

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      Table 3. [in Chinese]

      实验数据ELUMPSTNNRIPTMETTRTSPK4D-TR本文方法
      序列10.0220.0740.5010.4122.0513.1790.028
      序列20.0200.1720.5060.0862.1422.0330.031
      序列30.0240.0460.4690.0952.0442.1370.030
      序列40.0240.1200.5080.0932.0092.0370.029
      序列50.0210.1630.5620.0872.0072.0170.028
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    Yuan LUO, Xiaorun LI, Shuhan CHEN, Chaoqun XIA. Infrared Small Target Detection Based on Four-Dimensional Spatial-Temporal Tensor[J]. Spacecraft Recovery & Remote Sensing, 2024, 45(3): 28

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    Paper Information

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    Received: Sep. 30, 2023

    Accepted: --

    Published Online: Oct. 30, 2024

    The Author Email:

    DOI:10.3969/j.issn.1009-8518.2024.03.004

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