08.02.2013 Views

Bernal S D_2010.pdf - University of Plymouth

Bernal S D_2010.pdf - University of Plymouth

Bernal S D_2010.pdf - University of Plymouth

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

2.3. HIVSORY AND OCCLUDED CONTOURS<br />

more lime-consuming process, which gradually strengthens the responses <strong>of</strong> features which are<br />

perceptually grouped together.<br />

An important concept for these models is the local association field which formalizes the Gestalt<br />

good continuation principle. It states that contour elements which are well aligned will tend<br />

to be grouped together, by mutually exciting and increasing each other's saliency, while non-<br />

collinear element.', tend to inhibit each other. Several studies have shown the neural interactions<br />

thai represent contour elements in VI and V2 are dictated by the selectivity <strong>of</strong> horizontal con­<br />

nections which follow the local association field principle (Roelfsema 2006). The local associ­<br />

ation field provides an alternative method <strong>of</strong> implementing the bipole principle, based on lateral<br />

recurrent circuits (Li 2001) instead <strong>of</strong> strictly feedforward connections.<br />

Grossberg and colleagues proposed the Boundary Contour System (BCS), one <strong>of</strong> the most<br />

prominent models based on the above principles. The BCS is encompassed by the more general<br />

Adaptive Resonance Theory (see Section 2.2.3), and comprises a number <strong>of</strong> stages thai perfonn<br />

detection, competition and cooperation <strong>of</strong> boundary segments. Later versions <strong>of</strong> the model<br />

combine both feedback, lateral competition and feedforward integration <strong>of</strong> responses through<br />

the so-called bipole cells to achieve contour completion (Grossberg ei al. 2(X)7). Here we fo­<br />

cus on previous models (Grossberg et al. 1997, Raizada and Grossberg 2001) that show how<br />

contour completion is achieved by implementing the hipole propeny using strictly horizontal<br />

connections.<br />

Bipole cells are activated only when both sides <strong>of</strong> their receptive Held are sufficiently stimulated<br />

as shown in the schematic diagram <strong>of</strong> Figure 2.13. Ovals represent pyramidal celts located in<br />

layer 2/3 with collinear and co-oriented receptive fields. They are connected to each other via<br />

excitatory long-range horizontal synapses. These connections also excite a pool <strong>of</strong> inhibitory<br />

iniemeurons (black circles) connected via short range synapses to the pyramidal cell. The<br />

balance <strong>of</strong> excitation and inhibition accomplishes the desired bipole property.<br />

When only one <strong>of</strong> a pair <strong>of</strong> pacmen is present, the excitation from the inducing pyramidal<br />

cell to the target pyramidal cell is not enough to elicit the cell's response. This is because the<br />

excitation also targets the inhibitory neurons that balance out the excitation. On the other hand,<br />

57

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!