Face recognition based on improved PCA reconstruction

Zhenhai Wang, Xiaodong Li
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引用次数: 13

Abstract

A face recognition method based on improved principal components analysis (PCA) reconstruction is proposed. Firstly, PCA algorithm was performed on training samples of each pattern class to calculate the optimal projection transformation matrices. A point that should be mentioned was that we used median vector rather than mean vector in total scatter matrix. The feature vectors of testing sample could be obtained by projecting it on the optimal projection transformation matrices. After that, reconstruction images phase was conducted to get the reconstruction image. Using the same procedure, the reconstruction image of testing image corresponding to each pattern class could be obtained. Finally, the error between reconstruction images and testing sample were calculated, respectively. The testing sample was belonging to the pattern class whose corresponding error was minimal. Experiments on Yale and ORL show that this approach works much better than traditional PCA.
基于改进PCA重构的人脸识别
提出了一种基于改进主成分分析(PCA)重构的人脸识别方法。首先,对每个模式类的训练样本进行PCA算法,计算最优投影变换矩阵;需要提到的一点是,我们在总散点矩阵中使用了中位数向量而不是平均向量。将测试样本的特征向量投影到最优投影变换矩阵上,即可得到测试样本的特征向量。然后进行重建图像相位,得到重建图像。使用相同的方法,可以得到每个模式类对应的测试图像的重构图像。最后,分别计算重建图像与测试样本的误差。测试样本属于相应误差最小的模式类。在Yale和ORL上的实验表明,这种方法比传统的PCA要好得多。
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