A matrix-oriented method for appearance-based data compression – an idea from group representation theory

Authors:
Deli Zhao;Chongqing Liu;Yuehui Zhang
Affiliations:
Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai, China;Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, Shanghai, China;Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China
Venue:
SINOBIOMETRICS'04 Proceedings of the 5th Chinese conference on Advances in Biometric Person Authentication
Year:
2004

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Abstract

Motivated by ideas of group representation theory, we propose a matrix-oriented method to dimension reduction for image data By virtue of the action of Stiefel manifold, the original image representations can be directly contracted into a rather low-dimensional space Experimental results show that the performance of PCA and LDA is significantly enhanced in the transformed space In addition, the reconstructed images by proposed algorithm are better than those by 2DPCA.