Copyright © 2005 The Institute of Electronics, Information and Communication Engineers
Special Section on Image Recognition and Understanding -- Papers |
A Nonlinear Principal Component Analysis of Image Data
1 The authors are with the Department of Applied Physics, School of Science and Engineering, Waseda University, Tokyo, 1698555 Japan. E-mail: ryos{at}ieee.org, E-mail: shuji{at}shalab.phys.waseda.ac.jp, 2 The author is with NTT Data Corporation, Tokyo, 1040033 Japan. E-mail: sakanoh{at}nttdata.co.jp
Principal Component Analysis (PCA) has been applied in various areas such as pattern recognition and data compression. In some cases, however, PCA does not extract the characteristics of the data-distribution efficiently. In order to overcome this problem, we have proposed a novel method of Nonlinear PCA which preserves the order of the principal components. In this paper, we reduce the dimensionality of image data using the proposed method, and examine its effectiveness in the compression and recognition of images.
Key Words: nonlinear PCA, neural network, dimensionality reduction, image
Manuscript received September 27, 2004. Manuscript revised February 7, 2005.