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Fig. 6.5. Role of ON/OFF channels in processing various kinds of
inputs. Each row shows a sample retinal activation, the LGN
response, the V1 response and its histogram (OH) for the ON/OFF LISSOM
network, and the V1 response and its histogram (RH) for the reduced
LISSOM network. The sample inputs are plotted in gray scale from black
to white (low to high) and the LGN activations by subtracting the OFF
cell responses from the ON. In the V1 plots (c,e), orientation
preferences of those neurons that respond are color coded according to
the key on top, and color saturation represents the activation level
(selectivity is not shown to match the perceived orientation measure;
Section 7.2.1). The two networks respond similarly to an oriented
Gaussian input on a blank background (top row), which is why very
similar orientation maps developed in Figure 6.4. As seen in the
histograms, only neurons with orientation preferences matching the
input line respond. However, the networks behave very differently for
other types of input. The ON and OFF channels filter out nonzero
background levels and smooth, gradual changes in brightness, which
ensures that V1 ON/OFF responds only to oriented patterns and sharp
edges (second row; the response is strongest on the bright side of the
edge because only bright Gaussians were used in training, as shown in
the top row of Figure 5.13). In contrast, overall background
illumination with no edges is ignored by the ON/OFF network (third
row), whereas it activates nearly all of the V1 neurons in the reduced
model. Without the LGN, the response to most patterns is determined by
the total amount of brightness in the input, rather than by the
orientation preference of the V1 neurons. Nonzero background levels,
gradual changes in illumination, and large, bright objects are all
common in natural images (bottom row), and thus the ON and OFF
channels are crucial for preserving orientation selectivity when
processing such images. On the other hand, the ON and OFF channels can
be omitted for networks that process only schematic patterns on a
blank background. The natural image is a retina-size detail (as shown
in Figure 8.4e) from National Park Service (1995).
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