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Acta Optica Sinica, Volume. 39, Issue 10, 1001003(2019)

Radon Transform Detection Method for Underwater Moving Target Based on Water Surface Characteristic Wave

Man Xu, Su Qiu*, Weiqi Jin, Jie Yang, and Hong Guo
Author Affiliations
  • Key Laboratory of Photoelectronic Imaging Technology and System(Beijing Institute of Technology), Ministry of Education, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
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    Water surface characteristic wave of underwater moving target

    Fig. 1. Water surface characteristic wave of underwater moving target

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    Ship's wake and components of the wake. (a) Actual ship's wake; (b) geometric relationship of wake components

    Fig. 2. Ship's wake and components of the wake. (a) Actual ship's wake; (b) geometric relationship of wake components

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    Surface waves with different wind speeds at water depth of 15 m. (a) v=9 m/s; (b) v=10 m/s; (c) v=11 m/s; (d) v=12 m/s; (e) v=13 m/s; (f) v=14 m/s; (g) v=15 m/s; (h) v=16 m/s; (i) v=17 m/s; (j) v=18 m/s; (k) v=20 m/s; (l) v=25 m/s

    Fig. 3. Surface waves with different wind speeds at water depth of 15 m. (a) v=9 m/s; (b) v=10 m/s; (c) v=11 m/s; (d) v=12 m/s; (e) v=13 m/s; (f) v=14 m/s; (g) v=15 m/s; (h) v=16 m/s; (i) v=17 m/s; (j) v=18 m/s; (k) v=20 m/s; (l) v=25 m/s

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    Three-dimensional sea surface simulation images under different wind speeds. (a) u19.5=3 m/s; (b) u19.5=5 m/s; (c) u19.5=7 m/s; (d) u19.5=10 m/s

    Fig. 4. Three-dimensional sea surface simulation images under different wind speeds. (a) u19.5=3 m/s; (b) u19.5=5 m/s; (c) u19.5=7 m/s; (d) u19.5=10 m/s

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    Mixed wave simulation images of sea surface under different wind speeds. (a) u19.5=1 m/s; (b) u19.5=2 m/s; (c) u19.5=3 m/s; (d) u19.5=4 m/s; (e) u19.5=5 m/s; (f) <it

    Fig. 5. Mixed wave simulation images of sea surface under different wind speeds. (a) u19.5=1 m/s; (b) u19.5=2 m/s; (c) u19.5=3 m/s; (d) u19.5=4 m/s; (e) u19.5=5 m/s; (f)

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    Geometric schematic diagram of Radon transform. (a) Radon space domain; (b) Radon transform domain

    Fig. 6. Geometric schematic diagram of Radon transform. (a) Radon space domain; (b) Radon transform domain

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    Radon transform diagrams of symmetric lines. (a) Radon space domain of symmetric straight lines; (b) Radon transform domain of symmetric straight lines; (c) Radon space domain of parallel symmetric straight lines; (d) Radon transform domain of parallel symmetric straight lines

    Fig. 7. Radon transform diagrams of symmetric lines. (a) Radon space domain of symmetric straight lines; (b) Radon transform domain of symmetric straight lines; (c) Radon space domain of parallel symmetric straight lines; (d) Radon transform domain of parallel symmetric straight lines

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    Peak points of simulated wake at different movement velocities in Radon transform domain. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 8. Peak points of simulated wake at different movement velocities in Radon transform domain. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Inverse-Radon transform results of simulated wake at different movement velocities. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 9. Inverse-Radon transform results of simulated wake at different movement velocities. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Radonspace domain and inverse-Radon images in the case of superimposed wave (u19.5=6 m/s,v=25 m/s). (a) Radon space domain image; (b) inverse-Radon image

    Fig. 10. Radonspace domain and inverse-Radon images in the case of superimposed wave (u19.5=6 m/s,v=25 m/s). (a) Radon space domain image; (b) inverse-Radon image

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    Flow chart of extracting wake from complex sea based on Radon transform

    Fig. 11. Flow chart of extracting wake from complex sea based on Radon transform

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    Standard images after preprocessing (u19.5=6 m/s). (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 12. Standard images after preprocessing (u19.5=6 m/s). (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Radon space domains of pre- and post-preprocessing images (u19.5=6 m/s). (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 13. Radon space domains of pre- and post-preprocessing images (u19.5=6 m/s). (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Double neighborhood window method for extracting peak points in Radon space domian. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 14. Double neighborhood window method for extracting peak points in Radon space domian. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Inverse-Radon transform images. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 15. Inverse-Radon transform images. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Wavelet transformation diagrams. (a) Wake section; (b) noise section

    Fig. 16. Wavelet transformation diagrams. (a) Wake section; (b) noise section

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    Peak points in Radon space after decision. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 17. Peak points in Radon space after decision. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    Wake extraction results after decision. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

    Fig. 18. Wake extraction results after decision. (a) v=9 m/s; (b) v=17 m/s; (c) v=25 m/s

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    • Table 1. Model accuracy data for train set and test set

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      Table 1. Model accuracy data for train set and test set

      Dataset typeTrue numberFalse numberAccuracy /%Recall /%Precision /%
      Train setPositive5921397.897.8598.5
      Negative9386
      Test setPositive129986.593.4887.76
      Negative1844
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    Man Xu, Su Qiu, Weiqi Jin, Jie Yang, Hong Guo. Radon Transform Detection Method for Underwater Moving Target Based on Water Surface Characteristic Wave[J]. Acta Optica Sinica, 2019, 39(10): 1001003

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    Paper Information

    Category: Atmospheric Optics and Oceanic Optics

    Received: Apr. 2, 2019

    Accepted: Jun. 3, 2019

    Published Online: Oct. 9, 2019

    The Author Email: Qiu Su (edmondqiu@bit.edu.cn)

    DOI:10.3788/AOS201939.1001003

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology