Wilson-Cowan neural-network model in image processing.

*(English)*Zbl 0797.68172Summary: The neural-network model based on the theory proposed by Wilson and Cowan has been simulated by using digitized real images. Mathematically, the model is based on coupled nonlinear differential equations that describe the functional dynamics of cortical nervous tissue, and the model can operate in different dynamical modes, depending on coupling strengths. The model is shown to store images in reduced form and to recognize edges of an object. Examples of how the network processes input images are shown.

##### MSC:

68U10 | Computing methodologies for image processing |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

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\textit{K. Mantere} et al., J. Math. Imaging Vis. 2, No. 2--3, 251--259 (1992; Zbl 0797.68172)

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##### References:

[1] | H.R. Wilson and J.D. Cowan, ?Excitatory and inhibitory interactions in localized populations of model neurons?, Biophys. J., vol. 12, pp. 1-24, 1972. |

[2] | H.R. Wilson and J.D. Cowan, ?A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue,? Kybernetik, vol. 13, pp. 55-80, 1973. · Zbl 0281.92003 |

[3] | H. Sakaguchi, ?Oscillatory and excitable behaviours in a population of model neurons,? Prog. Theor. Phys., vol. 79, pp. 1061-1068, 1988. |

[4] | M.M. Gupta and G.K. Knopf, ?A dynamic neural network for visual memory,? in Visual Communications and Image Processing ’90: Fifth in a Series, M. Kunt, ed., Proc. Soc., Photo-Opt. Instrum. Eng., vol. 1360, pp. 1044-1055, 1990. |

[5] | J.L. Horner (ed.), Optical Signal Processing, Academic Press; San Diego, CA, 1987. |

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