Artificial neural system with Lie germs for affine invariant pattern analysis

Thomas R. Tsao

doi:10.1117/12.205190

6 April 1995 Artificial neural system with Lie germs for affine invariant pattern analysis

Thomas R. Tsao

Proceedings Volume 2492, Applications and Science of Artificial Neural Networks; (1995) https://doi.org/10.1117/12.205190
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

A computational theory and neural architecture for affine invariant pattern analysis is presented. The orbit of an image pattern under the two dimensional affine transformation group is defined as an invariant pattern class. An analog neural dynamical system with Lie germs is able to compute the distance between the orbit of a given image pattern and a template. Any pattern that is affine reachable to the template (i.e., on the same affine orbit as the template) will have zero distance while others will have larger than zero distances. The key component of this neural system is a type of artificial neuron named Lie germs. Via their receptive fields, these neurons perform the function of the infinitesimal transforms of the affine Lie group on the Gabor representation domain. The responses of the Lie germs generate the vector field of the neural dynamical system tangent to the affine orbits and make the affine orbital motion of the neural dynamical system. A computer simulation of the artificial neural system is also presented.

Citation Download Citation

Thomas R. Tsao "Artificial neural system with Lie germs for affine invariant pattern analysis", Proc. SPIE 2492, Applications and Science of Artificial Neural Networks, (6 April 1995); https://doi.org/10.1117/12.205190

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