Abstract
Receptive field sensitivity profiles of visual front-end cells in the LGN and V1 area in intact animals can be measured with increasing accuracy, both in the spatial and temporal domain. This urges the need for mathematical models. Scale-space theory, as a theory of (multiscale) apertures as operators on observed data, is concerned with the mathematical modeling of front-end visual system behaviour. This paper compares recent measurements on the spatio-temporal respons of LGN cell and V1 simple cell receptive fields [1] with Koenderink’s results from axiomatic reasoning for a real-time measuring spatio-temporal differential operator [2]. In this model time must be logarithmically remapped to make the operation causal in the temporal domain.
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References
R.L. De Valois, N.P. Cottaris, L.E. Mahon, S.D. Elfar, and J.A. Wilson, “Spatial and temporal receptive fields of geniculate and cortical cells and directional selectivity,” Vision Research, vol. 40, pp. 3685–3702, 2000.
J.J. Koenderink, “Time-scale,#x201D; Biological Cybernetics, vol. 58, pp. 159–162, 1988.
J. Weickert, S. Ishikawa, and A. Imiya, “Linear scale-space has first been proposed in japan,” J. Math Imaging and Vision, vol. 10, pp. 237–252, 1999.
M. Nielsen, From paradigm to algorithms in computer vision. PhD thesis, DIKU Copenhagen University, Denmark, 1995.
L.M.J. Florack, Image Structure. Computational Imaging and Vision Series, Dordrecht: Kluwer Academic Publishers, 1997.
L. Lindeberg and D. Fagerstrom, “Scale-space with causal time direction,” in Lecture Notes in Computer Science, vol. 1064, pp. 229–240, 1996.
L. Lindeberg, “Linear spatio-temporal scale-space,” in Lecture Notes in Computer Science, vol. 1252, 1997.
L. Bretzner and L. Lindeberg, “On the handling of spatial and temporal scales in feature tracking,” in Lecture Notes in Computer Science, vol. 1252, July 2-4 1997.
L. Bretzner and L. Lindeberg, “Feature tracking with automatic selection of spatial scales,” Comp. Vision and Image Understanding, vol. 71, pp. 385–392, 1998.
L. Lindeberg, “On automatic selection of temporal scales in time-causal scale-space,” in Lecture Notes in Computer Science, vol. 1315, pp. 94–113, 1997.
G.C. DeAngelis, I. Ohzawa, and R.D. Freeman, “Receptive field dynamics in the central visual pathways,” Trends Neurosci., vol. 18, pp. 451–458, 1995.
D.L. Ringach, G. Sapiro, and R. Shapley, “A subspace reverse correlation technique for the study of visual neurons,” Vision Research, vol. 37,no. 17, pp. 2455–2464, 1997.
E. Poppel, “Handbook of Sensory Physiology, ch. Time perception, pp. 713–729. Berlin: Springer, 1978.
N.K. Logothetis, H. Guggenberger, S. Peled, and J. Pauls, “Functional imaging of the monkey brain,” Nature Neuroscience, vol. 2,no. 6, pp. 555–562, 1999.
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ter Haar Romeny, B.M., Florack, L.M.J., Nielsen, M. (2001). Scale-Time Kernels and Models. In: Kerckhove, M. (eds) Scale-Space and Morphology in Computer Vision. Scale-Space 2001. Lecture Notes in Computer Science 2106, vol 2106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47778-0_22
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DOI: https://doi.org/10.1007/3-540-47778-0_22
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