Many researchers have proposed that, for the purpose of recognition, human
vision parses shapes into component parts. Precisely how is not yet known.
The minima rule for silhouettes (Hoffman & Richards, 1984) defines boundary
points at which to parse but does not tell how to use these points to cut
silhouettes and, therefore, does not tell what the parts are. In this paper
, we propose the short-cut rule, which states that, other things being equa
l, human vision prefers to use the shortest possible cuts to parse silhouet
tes. We motivate this rule, and the well-known Fetter's rule for modal comp
letion, by the principle of transversality. We present five psychophysical
experiments that test the short-cut rule, show that it successfully predict
s part cuts that connect boundary points given by the minima rule, and show
that it can also create new boundary points.