Binocular displacement of binocularly unpaired parts of the stimulus w
as examined by means of the Poggendorff figure. The Poggendorff figure
can be used to investigate displacement since lateral displacement of
the transversal may cause bias in judgments of its collinearity. In e
xperiment 1, the transversal had a disparity, and thus binocularly unp
aired parts, relative to the rectangle. The magnitude of the Poggendor
ff illusion should not have changed by addition of binocular disparity
if displacement occurred. There was no or slight change when the tran
sversal was seen behind the rectangle, but there was significant decre
ase when the transversal was seen in front of the rectangle, suggestin
g absence of displacement in this case. There were two possible explan
ations. One was that displacement dependend on the positional relation
between the unpaired stimuli and the binocularly presented rectangle,
ie the occlusion constraint, which the case with the transversal in f
ront did not satisfy. The alternative was that the decrease was due to
the perceived front depth of the transversal, and not related to bino
cular displacement at all. In order to discriminate between these two
possibilities, the transversal was reduced to only the unpaired parts,
resulting in dichoptic stimulation in experiment 2. In this stimulus,
the positional relation between the unpaired and the paired stimuli w
as the same as in the previous experiment, yet no front depth could be
perceived. The results showed similar asymmetry as in experiment 1. T
hus we conclude that binocular displacement depends on the positional
relation between the unpaired and the paired stimuli, regardless of th
eir perceived depth. This may imply that binocular displacement is not
symmetric about the sign of disparity, hence that it is not just aver
aging but is a reconstruction of the spatial layout of objects in the
outside world to keep the visual direction of the unsuppressed unpaire
d region veridical by using explicit cues to depth discontinuity.