Mathematically, three-dimensional space can be represented differently
by the cartesian, polar, and other coordinate systems. However, in ph
ysical sciences, the choice of representation system is restricted by
the need to simplify a machine's computation while enhancing its effic
iency(1). Does the brain, for the same reasons, 'select' the most cost
-efficient way to represent the three-dimensional location of objects?
As we frequently interact with objects on the common ground surface,
it might be beneficial for the visual system to code an object's locat
ion using a ground-surface-based reference frame(2). More precisely, t
he brain could use a quasi-two-dimensional coordinate system (x(s), y(
s)) with respect, to the ground surface (s), rather than a strictly th
ree-dimensional coordinate system (x, y, z), thus reducing coding redu
ndancy and simplifying computations(2-5). Here we provide support for
this view by studying human psychophysical performance in perceiving a
bsolute distance and in visually directed action tasks(6-11). For exam
ple, when an object was seen on a continuous, homogeneous texture grou
nd surface, the observer judged the distance to the object accurately.
However, when similar surface information was unavailable, for exampl
e, when the object was seen across a gap in the ground, or across dist
inct texture regions, distance judgement was impaired.