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Chapter 2. Prehension

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<strong>Chapter</strong> 8 - Constraints on Human <strong>Prehension</strong> 321<br />

e) amount of force available from the VF (mean, maximum,<br />

minimum)<br />

f) amount of sensory information available at grasping surface<br />

patch (innervation density of cutaneous mechanoreceptors)<br />

VF vectors are tagged with the orientation of the grasping surface<br />

patch at a given configuration. For example, in pad opposition, the<br />

grasping surface patches are the finger and thumb pads. As the VF<br />

vectors change length and orientation during flexion and extension,<br />

the pads are changing orientation relative to the palm. The grasping<br />

surface patch size depends on the number of real fingers being used in<br />

the VF and the amount of their abduction, as well as on the<br />

configuration. In terms of state variables, an opposition spaces is<br />

defined by the following state varibles:<br />

a) the number and type of oppositions (pad, palm, and/or side)<br />

being used,<br />

b) the virtual to real finger mapping (i.e., which fingers),<br />

c) VF state variables for each VF in each opposition being used<br />

(see above).<br />

Of course, this goal posture only makes sense within the constraints of<br />

the hand itself.<br />

Using Marr’s approach (see <strong>Chapter</strong> 1) as a guiding principle, the<br />

Opposition Space level can be re-represented or mapped into a<br />

Biomechanical level (Figure 8.1). At this level, opposition space<br />

parameters are re-represented in terms of the forces and torques acting<br />

at the joints and contact points. Inverse kinematic and dynamic<br />

equations translate VF parameters into real joint angles and torques.<br />

For example, if one objective of the movement is to ‘not drop the<br />

object’, the opposition space chosen for the grasp must effect a stable<br />

grasp, taking into account the active and passive components of force<br />

generation by the muscles, tendons, and skin surfaces. In addition,<br />

the chosen posture must relate to stress and strain on biomaterials and<br />

take into account mechanical advantages. Using pad opposition, the<br />

enhanced frictional component of the finger pulps helps in reducing<br />

the amount of active force. However, if the object is heavy and/or if<br />

there is a low coefficient of friction between the skin and object<br />

surface, the posture involves a different opposition space, one where<br />

active available forces are larger. A palm opposition, having multiple<br />

phalangeal contact points and greater strength, would be used. As<br />

well, the palm, as a large virtual finger, brings in a torquing

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