Abstract
We present a biologically inspired spiking neural network which is able to detect contours in grey level images by synchronization of neurons. This network is made of integrate-and-fire neurons, spaced on a triangular network, whose oriented receptive field is constructed by a wavelet which specifically detects edges. The neurons are excitatorily and locally connected between receptive fields that tend to detect the same contour. A contour, if its width is not too large, activates a chain of neurons, with some heterogeneity in the inputs. The capacity of a chain tosync hronize with respect tosuc h heterogeneity is studied. Synchronization on a contour is found to be possible for a sufficiently large width.
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References
Field, D. J., Hayes, A., Hess, R. F.: Contour Integration by the Human Visual System: Evidence for a Local “Association Field”. Vision Res. 33 (1992) 173–193
von der Malsburg, C.: The Correlation Theory of Brain Function. MPI Biphysical Chemistry, Internal Report 81-2. Reprinted in: Domany, E., van Hemmen, J., Schulten, K. (eds): Models of Neural Networks, Vol. 2 of Physics of Neural Networks. Springer-Verlag, New York (1994) 95–120
von der Malsburg, C., Schneider, W.: A Neural Cocktail-Party Processor. Biol. Cybern., 54 (1986) 29–40
Engel, A. K., König, P., Singer, W.: Direct Physiological Evidence for Scene Segmentation by Temporal Coding. Proc. Natl. Acad. Sci. USA 88 (1991) 9136–9140
Singer, W.: Neuronal Synchrony: a Versatile Code for the Definition of Relations? Neuron 24 (1999) 49–65
Hubel, D. H., Wiesel, T. N.: Receptive Fields, Binocular Interaction and Functionnal Architecture in the Cat’s Visual Cortex. J. Physiol. (London) 160 (1962) 106–154
Li, Z.: A Neural Model of Contour Integration in the Primary Visual Cortex. Neural Comput. 10 (1998) 903–940
Yen, S.-C., Finkel, L.: Extraction of Perceptually Salient Contours by Striate Cortical Networks. Vision Res. 38 (1998) 719–741
Yen, S.-C., Finkel, L. H.: Identification of Salient Contours in Cluttered Images. In: Computer Vision and Pattern Recognition (1997) 273–279
Choe, Y.: Perceptual Grouping in a Self-Organizing Map of Spiking Neurons. PhD thesis, Department of Computer Sciences, University of Texas, Austin. TR A101-292 (2001)
Petkov, N., Kruizinga, P.: Computational Models of Visual Neurons Specialised in the Detection of Periodic and Aperiodic Oriented Visual Stimuli: Bar and Grating Cells. Biol. Cybern. 76 (1997) 83–96
Flandrin, P.: Temps-Fréquence. Hermes, Paris, 2nd ed. (1998)
Dayan P., Abbott L. F.: Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. MIT Press, Cambridge (2001)
Tuckwell, H. C.: Introduction to Theoretical Neurobiology. Cambridge University Press, Cambridge (1988)
Mirollo, R. E., Strogatz, S. H.: Synchronization of Pulse-Coupled Biological Oscillators. SIAM J. Appl. Math. 50 (1990) 1645–1662
Tsodyks, M., Mitkov, I., Sompolinsky, H.: Pattern of Synchrony in Inhomogeneous Networks of Oscillators with Pulse Interactions. Phys. Rev. Lett. 71 (1993) 1280–1283
Hansel, D., Neltner, L., Mato, G., Meunier, C.: Synchrony in Heterogeneous Networks of Spiking Neurons. Neural Comput. 12 (2000) 1607–1641
Ren, L., Ermentrout, G. B.: Monotonicity of Phaselocked Solutions in Chains and Arrays of Nearest-Neighbor Coupled Oscillators. SIAM J. Math. Anal. 29 (1998) 208–234
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Hugues, E., Guilleux, F., Rochel, O. (2002). Contour Detection by Synchronization of Integrate-and-Fire Neurons. In: Bülthoff, H.H., Wallraven, C., Lee, SW., Poggio, T.A. (eds) Biologically Motivated Computer Vision. BMCV 2002. Lecture Notes in Computer Science, vol 2525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36181-2_6
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DOI: https://doi.org/10.1007/3-540-36181-2_6
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