基于正交非精确拉格朗日乘子法的鲁棒主成分分析

Robust principal component analysis based on orthogonal inexact Lagrange multiplier method

  • 摘要: 为进一步优化鲁棒主成分分析算法,提出一种基于正交非精确拉格朗日乘子法的鲁棒主成分分析算法。对采集的平底孔缺陷图像序列进行处理,并与多项式拟合、主成分分析、独立成分分析和脉冲相位法等传统图像序列处理算法结果进行比较,从缺陷检出率、峰值信噪比、均方根误差和熵等评价指标,定量分析各图像序列处理算法的性能。结果表明:基于正交非精确拉格朗日乘子法的鲁棒主成分分析算法的各项评价指标均为最优,缺陷检出率、峰值信噪比、均方根误差和熵分别比次优值优化了9.09%、1.14%、11.34%、4.60%。

     

    Abstract: In order to further optimize the robust principal component analysis algorithm, a robust principal component analysis algorithm based on the orthogonal inexact Lagrange multiplier method was proposed. The collected image sequences of flat bottom hole defects were processed, and compared with the results of traditional image sequence processing algorithms including polynomial fitting, principal component analysis, independent component analysis and pulse phase method. The performance of each image sequence processing algorithm was quantitatively analyzed from evaluation indicators such as defect detection rate, peak signal-to-noise ratio (PSNR), root-mean-square error (RMSE) and entropy. The results show that each evaluation index of the robust principal component analysis algorithm based on the orthogonal inexact Lagrange multiplier method is optimal, in which the defect detection rate, PSNR, RMSE and entropy are optimized by 9.09%, 1.14%, 11.34% and 4.60% respectively compared with the suboptimal values.

     

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