Abstract
Biometric Pattern Recognition aim at finding the best coverage of per kind of sample’s distribution in the feature space. It is based on the analysis of relationship of sample points in the feature space. According to the principle of “same source”, research the same kind of samples’ distribution in the feature space can get eigenvector information with low data amount. This can be realized by ‘coverage recognizing method of complex geometric body in high dimensional space’. Self-adaptive topological structure of high dimensional geometrical neuron model offers theoretical basis for its realization. But it has been investigated in 2D sample space. In this paper, we extend to Multispectral Image sample space by Clifford Algebra,and propose geometry algebra neuron by biomimetic pattern recognition theory. The experiment result proves the efficiency of our theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Labunets, R.E.V., Labunets, V.G., Astola, J.: Is the Visual Cortex a Fast Clifford Algebra Quantum Compiler. In: A NATO Advanced Research Workshop Clifford Analysis and Its Applications, pp. 173–183 (1999)
Labunets, R.E.V.: Fast Fourier–Clifford Transforms Design and Application in Invariant Recognition. PhD Thesis of Tampere University Technology, Tampere, Finland, pp. 262–300 (2000)
Labunets, V.G., Rundblad, E.V., Astola, J.: Is the Brain Clifford Algebra Quantum Computer. In: Proc. of SPIE Materials and Devices for Photonic Circuits, pp. 134–145 (2001)
Labunets, V.G., Rundblad, E.V., Astola, J.: Fast Invariant Recognition of Color 3D Images Based on Spinor–Valued Moments and Invariants. In: Proc. Of SPIE Vision Geometry X, pp. 22–33 (2001)
Lasenby, A.N., Doran, C.J.L., Gull, S.F.: Lectures in Geometric Algebra.Clifford (Geometric) Algebras with Applications to Physics. In: Mathematics and Engineering, Birkhouser, Boston, pp. 256–288 (1996)
Vela, M.: Explicit Solutions of Galois Embedding Problems by Means of Generalized Clifford algebras. In: Symbolic Computation, pp. 811–842 (2000)
Wang, S.J.: A New Development on ANN in China – Biomimetic Pattern Recognition and Multi Weight Vector Neurons. LNCS(LNAI), pp. 35–43. Springer, Heidelberg (2003)
Wang, S.J., et al.: Multi Camera Human Face Personal Identification System Based on Biomimetic Pattern Recognition. Acta Electronica Sinica, 1–3 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Cao, W., Hao, F. (2009). Geometry Algebra Neuron Based on Biomimetic Pattern Recognition. In: Wang, H., Shen, Y., Huang, T., Zeng, Z. (eds) The Sixth International Symposium on Neural Networks (ISNN 2009). Advances in Intelligent and Soft Computing, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01216-7_45
Download citation
DOI: https://doi.org/10.1007/978-3-642-01216-7_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01215-0
Online ISBN: 978-3-642-01216-7
eBook Packages: EngineeringEngineering (R0)