基于图像矩阵的广义主分量分析
A Generalized Principal Component Analysis Based on Image Matrix
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摘要: 传统的主分量分析在处理图像识别问题时是基于向量的,且没有充分利用训练样本的类别信息。该文提出了一种直接基于图像矩阵的广义主分量分析方法,该方法能够提取包含在类平均图像中的鉴别信息,与传统的主分量分析相比,具有更强的鉴别力。在ORL标准人脸库上的试验结果表明,所提出的方法不仅识别性能优于传统的主分量分析和Fisher线性鉴别分析,而且极大地提高了特征抽取的速度。Abstract: The classical Principal Component Analysis (PCA) for image feature extraction is usually based on vectors, which makes it very time-consuming, and the class information in the training sample has not been utilized fully also. To overcome these two drawbacks of PCA, this paper proposes a novel and efficient PCA method based on original image matri-ces directly. It can extract the discriminant information included in the class mean images. Hence, the proposed method has better discriminant performance than classical PCA. Ex-perimental results on ORL face database show the proposed method is more powerful and efficient than the classical PCA and Fisher linear discriminant analysis.
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