Independent component analysis based on a scatter diagram

Katsuhisa Hirokawa; Taro Yamaguchi; Kazuyoshi Itoh

doi:10.1117/12.347785

7 May 1999 Independent component analysis based on a scatter diagram

Katsuhisa Hirokawa, Taro Yamaguchi, Kazuyoshi Itoh

Proceedings Volume 3740, Optical Engineering for Sensing and Nanotechnology (ICOSN '99); (1999) https://doi.org/10.1117/12.347785
Event: Optical Engineering for Sensing and Nanotechnology (ICOSN '99), 1999, Yokohama, Japan

Abstract

We propose a novel algorithm for the independent component analysis that reshapes a scatter diagram or the joint probability density function of the pixel values of the mixed signals. The detailed procedure of the algorithm is described and its performance is numerically evaluated. The present algorithm geometrically separates original independent images from mixed images by the linear transformation, in which shift, shearing and rotation are performed to the scatter diagram. After the transformations and normalizations, the basis vectors of the independent signal become orthogonal and match the coordinates. In the implementation, it is shown that the algorithm can decompose two independent images from two mixed images. In additions, the proposed algorithm are compared to two conventional algorithms; [G. Burel: Neural Networks 5, 937 (1992)] and [A. Hyvarinen and E. Oja: Neural Comp. 9, 1483 (1997)], in calculation speed and extraction accuracy.

Citation Download Citation

Katsuhisa Hirokawa, Taro Yamaguchi, and Kazuyoshi Itoh "Independent component analysis based on a scatter diagram", Proc. SPIE 3740, Optical Engineering for Sensing and Nanotechnology (ICOSN '99), (7 May 1999); https://doi.org/10.1117/12.347785

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