Journal of Applied Optics, Volume. 46, Issue 4, 813(2025)

Robust principal component analysis based on orthogonal inexact Lagrange multiplier method

Maojie LI1, Lihua YUAN1、*, Fangye LI1, Kang HONG1, and Dongni LIU2
Author Affiliations
  • 1Key Laboratory of Nondestructive Testing, Ministry of Education, Nanchang Hangkong University, Nanchang 330063, China
  • 2AECC Shenyang Liming Aero-Engine Co.,Ltd., Shenyang 110043, China
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    Figures & Tables(13)
    Flow chart of robust principal component analysis algorithm based on orthogonal inexact Lagrange multiplier method
    CFRP test blocks with flat bottom hole defects
    Infrared thermal wave non-destructive synchronous testing system
    Infrared sequence image representation frame diagrams
    Temperature sampling of defect areas and non-defect areas
    Temperature-time variation curves between defect areas and non-defect areas
    Polynomial processing results of sequence images
    Principal component analysis processing results of sequence images
    Independent component image
    Pulse phase method results
    OIALM RPCA processing results
    • Table 1. Information on flat bottom hole defects in CFRP laminates

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      Table 1. Information on flat bottom hole defects in CFRP laminates

      直径/mm编号/深度/mm
      20A1/3A2/2.5A3/2A4/1.5A5/1A6/0.5
      16B1/3B2/2.5B3/2B4/1.5B5/1B6/0.5
      12C1/3C2/2.5C3/2C4/1.5C5/1C6/0.5
      8D1/3D2/2.5D3/2D4/1.5D5/1D6/0.5
      4E1/3E2/2.5E3/2E4/1.5E5/1E6/0.5
    • Table 2. Image evaluation indicators

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      Table 2. Image evaluation indicators

      图像结果缺陷检出率/%峰值信 噪比均方根误差
      原始图像66.6735.61383.97623.3491
      多项式拟合6040.00942.51413.7259
      主成分分析7045.51350.91204.3676
      独立成分分析73.3343.10821.54373.4743
      脉冲相位法73.3340.06302.24313.7656
      OIALM RPCA8046.03410.80864.5685
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    Maojie LI, Lihua YUAN, Fangye LI, Kang HONG, Dongni LIU. Robust principal component analysis based on orthogonal inexact Lagrange multiplier method[J]. Journal of Applied Optics, 2025, 46(4): 813

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    Paper Information

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    Received: Sep. 8, 2023

    Accepted: --

    Published Online: Sep. 16, 2025

    The Author Email: Lihua YUAN (袁丽华)

    DOI:10.5768/JAO202546.0402004

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