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Bernal S D_2010.pdf - University of Plymouth

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5.2. FEEDBACK'MEDIATED ILLUSORY CONTOUR COMPLETION<br />

X(S2)<br />

X(C\) 0;PO<br />

Bel(S2) ^ i ;mm<br />

^jr, ^-X,<br />

^^^^m ^^^^^ i^^^^m<br />

ir(S2)<br />

BeKci) '»t^'^'^"R!-.^?]4!n:^<br />

Bci(S!) ry^v T'^^S>^<br />

4DfCilliiiJll4i jD^uniDimi^ >M[.HKi?i'u<br />

;(S1) :<br />

Input<br />

image<br />

...J^Ifkl -ij^^kj ^•.•i^"!i.l .,.^^1<br />

Figure 5.25: S1. CI and .S2 model responses lo a Kanizsa square input image while the topdown<br />

feedback from C2. Ti{S2]. is clamped to a square represeniaiion. The 2D<br />

SI and CI maps represent the prohabitity value for the hori/omal stale across all<br />

locations <strong>of</strong> scale band 2 and I. respectively. The S2 rcpresemauon corresponds<br />

to the CI reconsUTJciion using the CI features <strong>of</strong> the maximum S2 prototypes at<br />

each location, as described in Section 'i.l. For each layer, the temporal evolution<br />

<strong>of</strong> the response from lime t= I loi=4 is shown, excepl for A (.S'I) and Jl{S2), whose<br />

responses are fixed over lime. Arrows indicale feedforward (green) and feedback<br />

(red) propagation <strong>of</strong> evidence. Note that in this case feedback does not arise<br />

directly from the belief in the C2 layer, Bel{C2), because as illustrated in the<br />

previous subsection, it is difficult to obtain a good 7i{S2) square reconstruction<br />

via the S2-C2 weight mairix. Instead, the ;r(.V2) is fixed lo an ideal S2 square<br />

representation in order In lesl ibe capacity <strong>of</strong> the model lo combine feedback<br />

infomiaiion hypodteiically generated from the C2 layer.<br />

222

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