A fundamental issue in the study of human vision is the accuracy with
which observers can perceive the three-dimensional structures of objec
ts in the environment. The formal mapping from physical to perceived s
pace is considered as a geometric transformation, and the literature i
s reviewed to identify which aspects of object structure are systemati
cally distorted by this transformation and which ones remain invariant
. In the perceptual analysis of several different sources of optical i
nformation, including motion and stereo, both individually and in comb
ination, there is a consistent pattern of results to indicate that per
ceived depth intervals are scaled differently from comparable interval
s in either horizontal or vertical directions. These and other finding
s provide strong evidence that the relationship between physical and p
erceived space is noneuclidean, and that the three-dimensional structu
res of objects can appear systematically distorted even when viewed un
der full cue conditions.