Abstract
In this paper a system based on the use of local schemes of representation is presented in order to model the receptive visual field responses observed in the retinal ganglion cells, lateral geniculate nucleus (LGN) and the primary visual cortex. The use of cellular neural networks (CNN) has been considered in particular as an efficient means to compute the Gabor filtering processes. The CNNs are structures of computation composed of arrays of cells interconnected taking advantage of the parallelism by assigning a processor (cell) to every image pixel. Each cell, having an internal state receives inputs from a predefined neighborhood, evolves in continuous time and assumes a continuum of values. The present scheme implements a logarithmic multiresolution structure of computation (pyramid), and constitutes a biological plausible model for implementing the spatial frequency and orientation selectivity mechanisms observed in early vision processing
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
Bovik, A.C., Clark, M. and Geisler, W.S.(1990), “Multichannel Texture Analysis using localized spatial filters:, IEEE Trans. Patt. Anal. Machine Intell. 12, 1, 55–73
Burt, P. and Adelson, E.(1983), “The Laplacian Pyramid as a compact image code”, IEEE Trans, on Comm. 31,4,337–345
Burt. P.(1984) v ‘The Pyramid as a Structure for Efficient Computation”, in Multiresolution image processing and analysis, Rosenfeld, A. (ed), Springer, New York
Chua, L.O. and Yang, L.(1988), “Cellular Neural Networks: Theory and Applications”, IEEE Trans, on Circuits and Systems 35, 10, 1257–1290
Chua, L.O. and Liao, Y (1990), “PWLSPICE: SPICE for piecewise-liner circuits”, in preparation
Daubechies, L.(1990), “The wavelet transform, time-frequency localization and signal analysis”, IEEE Trans. Inform. Theory 36, 5, 961–1005
Daugman, J.G.(1980), “Two-dimensional spectral analysis of cortical receptive fields profiles”, Vision Research 20, 847–856
Field, DJ.(1986), “The structure and symmetry of simple-cell receptive-field profiles in the cat’s visual cortex”, Proc. R. Soc. London B 228, 379–400
Gabor, D.(1946), “Theory of Communication”, J. IEE (London) 93, 429–459
Grossmann, A. and Morlet, J.(1984), “Decomposition of Hardy functions into square integrable wavelets of constant shape”, SIAM J. Math. 15, 723–736
Hawken, M.J. and Parker, A.J.(1987), “Spatial properties of neurons in the monkey striate cortex”, Proc. R. Soc. London B 231, 251–288
Hubel, D. and Wiesel, T.(1962), “Receptive field, binocular interaction, and functional architecture in the cat’s visual cortex”, J. Physiol. (London) 160, 106–154
Jones, J. and Palmer, L.(1987), “An evaluation of the two dimensional Gabor filter model of simple receptive fields in cat striate cortex”, J. Neurophys. 58, 1233–1258
Mallat, S. (1989), “Multifrequency channel decompositions of images and wavelet models”, IEEE Trans. Acoust. Speech, Signal Processing 37, 12, 2091–2110
Marcelja, S.(1980), “Mathematical description of the responses os simple cortical cells”, J. Opt. Soc. Amer. 70, 1297–1300
Movshon, J. A., Thompson, I.D. and Tolhurst, D. 1 (1978), “Spatial summation in the receptive fields of simple cells in the cat’s striate cortex”, J. Physiol. London 283,53–77
Tabernero, A. and Navarro, R.(1990), “Performance of Gabor cells for texture analysis”, submitted to IEEE Trans. Pattern Anal. Machine Intell.
Tan, T.N. and Constantinides, A.G.(1990), “Texture analysis based on a human visual model”, IEEE Int. Conf. on Acoust. Speech and Signal Proc., Albuquerque, New Mexico, 2137–2140
Tanimoto, S.L. et al.(1987), “A Prototype Pyramid Machine for Hierarchical Cellular Logic”, in Parallel Computer Vision, L. Uhr (ed.), Academic Press, Orlando Fa
Webster, M.A. and de Valois, R. L.(1985), “Relationship between spatial-frequency and orientation tuning of striate-cortex cells”, J. Opt. Soc. Am. A 2,1124–1132
West, BJ.(1990), “Sensing scaled scintillations”, J. Opt. Soc. Am. A 7, 6, 1074–1100
Young, R.A.(1985), “The gaussian derivative theory of spatial vision: analysis of cortical cell receptive field line-weighting profiles”, General Motors Rep. No. GMR-4920
Zeevi, Y.Y. and Porat, M.(1988), “Computer image generation using elementary functions matched to human vision”, in Theoretical Foundations of Computer Graphics, Eamshaw, R.A. (ed.), Springer, 1197–1241
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Cristobal, G. (1992). Receptive field image modeling through cellular neural networks. In: Eeckman, F.H. (eds) Analysis and Modeling of Neural Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4010-6_24
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4010-6_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6793-2
Online ISBN: 978-1-4615-4010-6
eBook Packages: Springer Book Archive