We measured thresholds for the monocular discrimination of rigidly and
nonrigidly moving objects defined by motion parallax. The retinal pro
jections of rigidly moving objects are subject to certain constraints.
By applying smooth 2-D transformations to the projections of rigidly
moving objects, we created stimuli in which these constraints were aff
ected. Thresholds for (generic) nonrigid transformations that in theor
y can be detected from rigid ones by processing pairs of views depende
d not only on the extent to which the rigidity constraints were affect
ed, but also on the structure and the movement of the simulated object
. Nonrigid transformations under which every three successive views ha
d a rigid interpretation were not discriminable from rigid transformat
ions, except in cases where the distortions were very large. Under the
rigidity assumption, this would mean that a large class of nonrigidly
moving objects is erroneously perceived as rigidly moving.