The substrates of the Poggendorff illusion can be evaluated using as f
ew as two line segments, a test segment whose collinearity is judged,
and an induction segment which serves to bias that judgment. Previous
research from this laboratory has shown that a very short induction se
gment can produce a substantial bias of perceived collinearity when it
is centered at the tip of the test segment, and there is some evidenc
e that the symmetry of this configuration affects the strength of this
bias. Four experiments were conducted to clarify the issue of symmetr
y in the stimulation of the ''half-field'' zones which lie on each sid
e of the tip. That Exp.1a showed displacements which moved the inducti
on segment to an eccentric position, i.e., occupying a single half-fie
ld, reduced collinearity error. With additional displacement which pro
duced a gap there was a rebound of induction effect. Exp. 1b indicated
that an eccentric induction segment does not produce the usual streng
th or pattern of bias as a function of its orientation relative to the
test segment. Exp. 2a suggested that the strength of induction effect
is a function of symmetry within the half-fields rather than the leng
ths of the segments per se. Finally, in Exp. 2b the strength of induct
ion was a joint function of the position of a short segment within one
half-field and the length of another segment which stimulated the oth
er half-field. The effect showed a complex oscillation with changes in
position. We discuss the induction mechanism as beginning with ''cont
our filters'' which register the induction segment(s) and which combin
e their responses on the basis of ''tandem activation'' of the close h
alf-fields.