鲁棒主分量分析(RPCA)模型在选取幅度参数时,忽略了各变量独有的统计特性.为克服RPCA模型的这一不足,本文提出了通用鲁棒主分量分析(GRPCA)模型,采用M估计器(M—Estimator)为每个变量估计符合其自身统计特性的幅度参数,以提高模型的鲁棒性和通用性,并在此基础上提出了一种集成小波分解、鲁棒估计及独立分量分析的WR-ICA人脸识别算法.WR-ICA对人脸识别中的多种外部干扰(残缺人脸图像、化妆及遮挡等)都表现出很好的鲁棒性.理论分析和实验结果证实了WR-ICA的有效性,采用Cos距离作相似性度量时,WR-ICA的平均识别率达到99.44%.
In the robust principal component analysis(RPCA)model, the statistical properties of every variable are neglected when scale parameters are chosen for them. In order to overcome this drawback, a generalized robust principal component analysis (GRPCA)model was proposed in this paper, a M-estimator was adopted to estimate robust scale parameters for every variable according to their statistical properties. Then, a new independent component analysis algorithm for face recognition based on wavelet decomposition and robust estimation (WR-ICA) was proposed. WR-ICA is robust to many types of outliers (incomplete face image,making up,occlusion,etc).The validity of WR-ICA is confirmed by theory analysis and experimental data, with Cos distance as similarity measurement, the average recognition rate of WR-ICA is 99.44%.