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Chapter 2. Prehension

Chapter 2. Prehension

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86 THE PHASES OF PREHENSION<br />

(surface length and object width) and two task properties (magnitude<br />

of anticipated forces and precision needed). The network computed<br />

which opposition should be used (either pad or palm opposition),<br />

given the object and task properties. Simply stated, the neural net-<br />

work learned how to choose between palm and pad oppositions given<br />

the object characteristics of length and width and the task requirements<br />

for force and precision.<br />

An adaptive multilayered network of simulated neurons was con-<br />

structed for doing this computation (see Figure 4.8a). The network<br />

consisted of four input units (bottom row of neurons), four hidden<br />

units (middle row) and one output unit (top row). An iterative learn-<br />

ing process called supervised learning was used to train the network.<br />

A given task (surface length, object width, amount of force, and task<br />

precision) was presented to the input layer. An opposition was chosen<br />

by summing up weighted activation values of the input units and then<br />

weighted activation values on the hidden layer. If any of these<br />

weights were set wrong, as they will be initially, the computation will<br />

be inaccurate. This computed mapping was then compared to the<br />

desired mapping (in the training set). If there was a difference, Iberall<br />

used the generalized delta rule to adjust the weights between the input<br />

units, hidden layer, and output units in order to reduce this difference.<br />

The training set was drawn from the data points shown in Table<br />

4.1. These were compiled from experimental (Marteniuk et al., 1987)<br />

and observational data that pertains to mapping task requirements to<br />

grasp postures. Input requirements are stated in terms relative to the<br />

hand’s size and force capabilities. Object size has been broken down<br />

into two separate properties: object length and object width. Length is<br />

measured in terms of the number of real fingers that can fit along the<br />

surface length at the opposition vector, and width is in terms relative to<br />

hand opening size. Task requirements have been broadly and subjec-<br />

tively characterized in terms of power and precision requirements:<br />

magnitude of forces (without regard to their direction) and precision<br />

needed. Grasp postures are characterized by the chosen opposition.<br />

In the case of grasping a beer mug by its body, the surface length is<br />

greater than four fingers, the width of the mug is generally large rela-<br />

tive to the span of the hand, and the weight of the filled mug is rela-<br />

tively heavy. Lifting it requires a large translation upward, involving<br />

little precision. In this task, palm opposition has been observed. For<br />

heavy objects, palm opposition tends to be used with as many fingers<br />

as possible. As the weight of the object decreases, the posture<br />

switches to pad opposition.<br />

For computing the difference between the desired output and the

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