How does the ability of humans and primates to fixate at environmental
points in the presence of relative motion help their visual systems i
n solving various tasks? To state the question in a more formal settin
g, we investigate in this article the following problem: Suppose that
we have an active vision system, that is, a camera resting on a platfo
rm and being controlled through motors by a computer that has access t
o the images sensed by the camera in real time. The platform can move
freely in the environment. If this machine can fixate on targets being
in relative motion with it, can it solve visual tasks in an efficient
and robust manner? By restricting our attention to a set of navigatio
nal tasks, we find that such an active observer can solve the problems
of 3-D motion estimation, egomotion recovery, and estimation of time-
to-contact in a very efficient manner, using as input the spatiotempor
al derivatives of the image-intensity function (or normal flow). Fixat
ion over time changes the input (motion field) in a controlled way and
from this change additional information is derived making the previou
sly mentioned tasks easier to solve.