Abstract
Symmetry detection through a net of coupled maps is proposed. Logistic maps are associated with each element of a pixel image where the symmetry is intended to be verified. The maps are locally and globally coupled and the reflection-symmetry structure can be embedded in local couplings. Computer simulations are performed by using random gray level images with different image sizes, asymmetry levels and noise intensity. The symmetry detection is also done under dynamic scene changing. Finally the extensions and the adherence of the present model to biological systems are discussed.
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.
Similar content being viewed by others
References
Campbell, S., Wang, D.: Synchronization and desynchronization in a network of locally coupled Wilson-Cowan oscillators. IEEE Trans. Neural Networks 7 (1996) 541–554
Freeman, W.J.: Tutorial on neurobiology: From single neurons to brain chaos. Int. J. Bif. Chaos 2 (1992) 451–482
Hayashi, Y.: Oscillatory neural network and learning of continuously transformed patterns. Neural Networks 7 (1994) 219–231
He, Z., Zhang, Y., Yang, L.: The study of chaotic neural network and its applications in associative memory. Neural Process. Lett. 9 (1999) 163–175
Ito, J., Kaneko, K.: Self-organized hierarchical structure in a plastic network of chaotic units. Neural Networks 13 (2000) 275–281
Kaneko, K.: Overview of coupled map lattices. Int. J. Bif. Chaos 2 (1992) 279–282
Konen, W., Malsburg, C.v.d.: Learning to generalize from single examples in the dynamic link architecture. Neural Computation 5 (1993) 719–735
Nishii, J.: The learning model goes oscillatory networks. Neural Networks 11 (1998) 249–257
Sejnowski, T.J., Keinker, P.K., Hinton, G.E.: Learning symmetry groups with hidden units: Beyhond the perceptron. Physica 22D (1986) 260–275
Shen, D., Ip, H.H.S., Cheung, K.K.T., Teoh, E.K.: Symmetry detection by generalied complex (GC) moments: A close-form solution. IEEE Trans. Pattern Analysis and Machine Intelligence 21 (1999) 466–476
Wang, X.: Period-doublings to grounds in the simple neural network: an analytical proof. Complex Syst. 5 (1991) 425–441
Zhao, L., Macau, E.E.N., Nizam, O.: Scene segmentation of the chaotic oscillator network. Int. J. Bif. Chaos 10 (2000) 1697–1708
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Oliveira, R., Monteiro, L.H.A. (2002). Symmetry Detection Using Global-Locally Coupled Maps. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_13
Download citation
DOI: https://doi.org/10.1007/3-540-46084-5_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44074-1
Online ISBN: 978-3-540-46084-8
eBook Packages: Springer Book Archive