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A plot of c1(x) is shown in Figure 7.1-12. The Fourier transform of c1(x) above gives the spatial frequency response of the c1 system. u is the spatial frequency in rad/mm.

C1 (u) = Aoaexp[-(>2)u2o2] - Bobexp[)u2ob] 7.1-24

A plot of C1(u) is shown in Figure 7.1-13. Two points are worth noting: (1) The c1 filter has zero dc response when A/B = ab/aa; (2) The frequency response of the c1 filter is bandpass, with a peak at

FIGURE 7.1-10 Organization of a discrete, six-layer Fukushima static feature extractor. The first layer consists of an array of discrete receptors whose outputs, Uo(mAx, nAy), are non-negative analog signals proportional to the object intensity, I(x, y). The lines going from nodes in signal plane (k - 1) to plane k are signal conditioning weights, {cki}, k = 1, ... 5, i = 1, ... N.

FIGURE 7.1-10 Organization of a discrete, six-layer Fukushima static feature extractor. The first layer consists of an array of discrete receptors whose outputs, Uo(mAx, nAy), are non-negative analog signals proportional to the object intensity, I(x, y). The lines going from nodes in signal plane (k - 1) to plane k are signal conditioning weights, {cki}, k = 1, ... 5, i = 1, ... N.

The latter result is found by taking the derivative of Cj(u2) with respect to u2 and setting it equal to zero, then finding upk. Inspection of Figure 7.1-13 shows that low spatial frequencies in the object are attenuated in favor of frequencies around upk; then high spatial frequencies are again attenuated. This boost of spatial frequencies around upk can be interpreted as the c1 filter boosting the contrast of edges, contours, and boundaries.

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