Log polar transformations for space variant systems have been proposed
and used in active vision research. The idea is to generate an image
with a varying resolution over a wide angle field of view. The fovea i
s of high resolution and the periphery is of exponentially reduced res
olution. The justifications for such a sensor are: (i) it provides hig
h resolution and a wide viewing angle; (ii) feature invariance in the
fovea simplifies foveation; (iii) it allows multi-resolution analysis;
and (iv) it is cheaper and more efficient to build a variable resolut
ion sensor over a particular field of view rather than a uniform high
resolution sensor. The receptor density of the human retina is very hi
gh, i.e. of the order of 10(8) receptors at the fovea. The question is
, what resolution should space variant active vision systems have? Rea
l visual sensors have been implemented but is the resolution produced
high enough? This paper investigates the resolution requirements of a
space variant sensor by simulation for a tracking system using raytrac
ing. (C) 1997 Elsevier Science B.V.