October
2004, Issue 171
Test Your
EQ
|
Answer
6Knowing
the angle whose vertex is at the beacon and the spacing
of the two sensors on the robot, you can describe a locus
of points on which the beacon must lie in relation to
the baseline that joins the two sensors.
In
two dimensions, this locus is a circle (actually one of
two circles). If the angle is 90°, the baseline joining
the two sensors is a diameter of the circles. (The two
circles are coincident in this case.) Otherwise, the baseline
is a chord of the circle, which is reflected about this
line. Obviously, this is not yet enough information to
pinpoint the location of the beacon with respect to the
robot (or vice versa). A third (or fourth) sensor is required
to disambiguate the possible solutions.
Contributor:
David Tweed