Given this initial state information, we perform a reachability analysis and then employ model reduction techniques to the reachable space of the original problem.
Workspace is usually defined as the reachable space of the end-effector in Cartesian coordinate system.
Although there are miles of wonderful shoreline and beaches, and abundant parkland up against the Santa Monica Mountains, these areas are not conveniently reachable from the heart of the city, especially from poor neighborhoods.
To interact with an object, it is necessary to determine whether this object is in the near-reachable space or in the far-not reachable space.
Furthermore, the location of the targets prevented subjects to get sensorimotor experience associated with the boundary of their reachable space.
It is worth reminding here that when the mug was presented outside the reaching space of the participants it fell within the reachable space of the avatar.
In the past, several studies have suggested that people are quite accurate in visually determining the boundary of the reachable space.
Consequently, the lower facilitation effect of the TMS when applied on the motor area was manifest mainly for those targets located near the boundary of the reachable space.
In the present study we further expanded this result by showing that the spatial alignment effect might occur also when the affording object is located outside the reachable space of the participants, provided that it is located within the reachable space of another individual, such as an avatar.
In a previous study [15] we demonstrated that such an effect is space-constrained (see also: [19]), occurring only when the affording object (e.g. a handled mug) falls within the reachable space of the participants.
However, because the specific effect of TMS when stimulating the motor cortex was absent for very near and very far targets and in fact, it concerned mainly targets close to the boundary of reachable space, one must consider the possibility that action simulation would be required mainly when the determination of what is reachable becomes ambiguous.
