Math Forum Discussions

Erann Gat

Posts: 6
Registered: 12/10/04

Probability of a free path
Posted: Jan 10, 1995 5:47 PM

Plain Text

I am interested in finding out if anyone has done any work on the
problem of finding the probability of the existence of a free path in an
obstacle field. Basically, the problem is: given a number of shapes
(assume any shape and size distribution you like) placed randomly in
a bounded area, what is the probability that there exists a path between
two fixed points in the bounded area that does not contact any of the
randomly placed shapes?

Pointers to references would be most appreciated.

Thanks,
Erann

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Erann Gat
gat@robotics.jpl.nasa.gov