• Chinese Journal of Ship Research
  • Vol. 19, Issue 6, 275 (2024)
Liang TONG, Dan LIU, Zhongbo PENG, Han ZOU..., Lumeng WANG and Chunyu ZHANG|Show fewer author(s)
Author Affiliations
  • School of Shipping and Naval Architecture, Chongqing Jiaotong University, Chongqing 400074, China
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    DOI: 10.19693/j.issn.1673-3185.03477 Cite this Article
    Liang TONG, Dan LIU, Zhongbo PENG, Han ZOU, Lumeng WANG, Chunyu ZHANG. Method of joint wavelet thresholding and F-NLM de-noising for high-resolution SAR ship detection[J]. Chinese Journal of Ship Research, 2024, 19(6): 275 Copy Citation Text show less

    Abstract

    Objective

    Aiming at the significant features of high-resolution synthetic aperture radar (SAR) ship targets with multiple scenes, multi-scale and dense arrangements, and the problem of the blurring of target edge details due to coherent noise in the imaging process, a high-resolution SAR ship detection method is proposed with joint wavelet thresholding and fast non-local mean (F-NLM) de-noising.

    Methods

    First, wavelet thresholding and F-NLM de-noising modules are utilized to preprocess the SAR image and reduce the sea clutter noise, enhance the detailed features and edge information of the detection target, and make the extracted features more discriminative. Next, a YOLOv7 detection algorithm combined with a bi-directional feature pyramid network (Bi-FPN) is selected to effectively aggregate the multi-scale features and further improve the model's accuracy.

    Results

    The experimental results show that the average precision of ship detection using the de-noised dataset D-SSDD can reach 98.69% and the false alarm rate is reduced to 2.37%.

    Conclusions

    It is clear that the proposed high-resolution SAR ship detection method not only homogenizes the background clutter to improve the image quality, but also improves the interactivity of multi-scale feature information to ensure precise and accurate target detection.

    $ {d_i} = {f_i} + {\varepsilon _i},i = 1,2,...,N $(1)

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    $ ωj,k={sgn(ωj,k)(|ωj,k|λ),|ωj,k|λ0,|ωj,k|<λ $(2)

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    $ NL(v)(i) = \sum\nolimits_{}^{j \in I} {\omega (i,j)v(j)} $(3)

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    $ SAT({x_1},{x_2}) = \sum\limits_{{{\textit{z}}_{1 \leqslant }}{x_{1,}}{{\textit{z}}_{2 \leqslant }}{x_2}} {I({{\textit{z}}_1},{{\textit{z}}_2})} $(4)

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    $Pitd=Conv(ω1Piin+ω2Resize(Piin)ω1+ω2+ε)$(5)

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    $ P_i^{\rm{out}} ={\mathrm{ Conv}}\left(\frac{{{\omega _1} \cdot P_i^{\rm{in}} + {\omega _2} \cdot P_i^{\rm{td}} + {\omega _3} \cdot {\mathrm{Resize}}(P_{i - 1}^{\rm{out}})}}{{{\omega _1} + {\omega _2} + {\omega _3} + \varepsilon }}\right) $(6)

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    $ {e_{\mathrm{MSE}}} = \frac{1}{{mn}}\sum\limits_{i = 0}^{m - 1} {\sum\limits_{j = 0}^{n - 1} {{{\left[ {f(i,j) - d(i,j)} \right]}^2}} } $(7)

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    $ P_{\mathrm{SNR}} = 10 \cdot \lg \left(\frac{{M_{\mathrm{AX},I}^2}}{{e_{\mathrm{MSE}}}}\right) $(8)

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    $ P = \frac{{{T_{\rm{P}}}}}{{{T_{\rm{P}}} + {F_{\rm{P}}}}} $(9)

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    $ R = \frac{{{T_{\rm{P}}}}}{{{T_{\rm{P}}} + {F_{\rm{N}}}}} $(10)

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    $ AP = \int_0^1 {P(R){\mathrm{d}}R} $(11)

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    $ F1 = 2 \times \frac{{R \times P}}{{R + P}} $(12)

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    $ r_{\mathrm{FAR}}=\frac{检测到的虚警目标数量}{检测到的候选目标数量} $(13)

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    Liang TONG, Dan LIU, Zhongbo PENG, Han ZOU, Lumeng WANG, Chunyu ZHANG. Method of joint wavelet thresholding and F-NLM de-noising for high-resolution SAR ship detection[J]. Chinese Journal of Ship Research, 2024, 19(6): 275
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