Perception &: Psychophysics
1991. 50 (3), 230-236
Induced motion of a fixated target:
Influence of voluntary eye deviation
THOMAS HECKMANN
General Motors Research Laboratories, Warren, Michigan
and
ROBERT B. POST and LINDA DEERING
University of California, Davis, California
Induced motion (1M) was observed in a fixated target in the direction opposite to the real motion of a moving background. Relative to a fixation target located straight ahead, 1M decreased
when fixation was deviated 10° in the same direction as background motion and increased when
fixation was deviated 10° opposite background motion. These results are consistent with a
"nystagmus-suppression" hypothesis for subjective motion of fixated targets: the magnitude of
illusory motion is correlated with the amount of voluntary efference required to oppose involuntary eye movements that would occur in the absence of fixation. In addition to the form of 1M
studied, this explanation applies to autokinesis, apparent concomitant motion, and the oculogyral
illusion. Accounts of 1M that stress visual capture of vection, afferent mechanisms, egocenter
deviations, or phenomenological principles, although they may explain some forms of 1M, do not
account for the present results.
According to a "nystagmus-suppression" hypothesis
(Post & Leibowitz, 1985), illusory motion of a fixated
target can arise in an efferent signal for ocular pursuit
that opposes involuntary eye movements to maintain a stable fixation. This hypothesis requires two assumptions.
First, efferent pathways responsible for ocular pursuit are
the same as those that support fixation when stimuli to
involuntary eye movements occur. Second, if the first assumption is true, then equivalent sensations of foveated
target motion should arise when these efferent pursuit
pathways are active, whether or not the target actually
moves. Post and Leibowitz (1985) and Heckmann and
Post (1988) have reviewed the physiological and behavioral bases for these assumptions in detail.
Corollary to these assumptions, the magnitude of
registered target motion should be proportional to the involuntary eye movement that would occur in the absence
of fixation. This is supported by work with several illusory motions of fixated targets. First, autokinesis is biased
in the direction of eccentric fixation, its vigor proportional
to the degree of gaze eccentricity (Adams, 1912; Carr,
1910; Leibowitz, Shupert, Post, & Dichgans, 1983). This
follows from the voluntary effort required to overcome
the viscoelastic forces and reflexive tone that tend to retain the eye in the primary position and that increase with
eccentricity of gaze. Second, apparent concomitant motion
of a fixated target during lateral head excursion (Post &
Leibowitz, 1982) and, third, the magnitude of the oculogyral illusion (Evanoff & Lackner, 1987) are proportional
Correspondence should be addressed to Thomas Heckmann, General
MotorsResearchLaboratories, 30500MoundRd., Warren, MI 48090-9055.
Copyright 1991 Psychonomic Society, Inc.
230
to the amount of vestibuloocular reflex (VOR) that must
be suppressed to maintain fixation.
The identical analysis applies to illusory motion of a
fixated target opposite the direction of a moving contoured
background. In this case, the stimulus to involuntary eye
movement is optokinetic. Magnitudes of illusory fixationtarget motion in one direction are correlated with measures
of optokinetic nystagmus (OKN) slow phase in the opposite
direction across variations in theillumination, velocity (post,
1986), and duration (Heckmann & Post, 1988) of unidirectionally moving background contours. This correlation
is also obtained across the oscillation frequencies of bidirectionally moving backgrounds (post, Chi, Heckmann,
& Chaderjian, 1989). Here, the nystagmus-suppression
hypothesis assumes that voluntary ocular pursuit is the
"fast" component ofOKN, which supports a more archaic
"slow" OKN to give normal OKN in the absence of a
fixation target. When fixation is required, however, pursuit dissociates from archaic OKN and opposes it; in
which case, archaic OKN is represented by optokinetic
aftemystagmus (OKAN; see Heckmann & Post, 1988;
Post, 1986).
The foregoing cases meet the defining criteria (Duncker,
1929) of induced motion (1M). Hence, we also call them
1M. However, a number of illusions differing widely in
phenomenology and explanation, many of which entail
no fixation at all, also fit this definition (for detailed
discussion, see Heckmann & Howard, in press; Heckmann & Post, 1988; Reinhardt-Rutland, 1988; Wade &
Swanston, 1987).
The use of 1M to test the nystagmus-suppression hypothesis has previously depended on correlating 1M mag-
INDUCED MOTION AND EYE DEVIATION
.......•
.
.
PESP
.....
.
A
.......• SP
....• VE
. - - PEVE
....-B
PE NET
c
Figure 1. Structure of hypothesis. Dashed arrows represent involuntary factors: the slow-phase (SP) signal in archaic OKN system and the viscoelastic forces and reDexive tone (VE), which tend
to abduct deviated eyes hack to the primary gaze position. Solid
arrows represent the components of pursuit effort, PFSP and PEVE,
which oppose SP and VE, respectively. Arrows of like type combine algebraically. 1M magnitude is proportional to combined pursuit efforts (PE NE1). (A) With-stimulus condition, eyes are deviated
in the same direction as the OKN slow phase. VE assists in opposing SP, requiring less PESP to oppose the involuntary forces and
maintain fixation. In addition, PEVE to maintain deviated gaze is
opposite in sign to PESP, so PE NET is less than in: (8) Straightahead condition, eyes are straight ahead. PE NET equals PESP.
(C) Opposite-Qimulus condition, eyes are deviated opposite the direction of stimulus motion. SP and VE combine positively, requiring
positive combination of PESP and PEVE and giving the largest PE
NET among the three conditions.
nitude with an oculomotor measure. The present experiment, however, employed the ability of the hypothesis
to predict variations in 1M magnitude from the fixation
task. Fixation of a target located straight ahead gave a
baseline of voluntary effort required to oppose the slow
phase of OKN, as well as a baseline magnitude of 1M.
Following the analysis of autokinesis during fixation of
an eccentrically deviated target, voluntary effort in the
pursuit system is required to oppose viscoelastic forces
and reflexivetone in order to maintain fixation. If the deviation is extreme, this effort registers as illusory motion
of the fixated target in the same direction as the eye deviation. However, for more moderate deviations, which
alone do not reliably produce illusory motion (Adams,
1912; Carr, 1910; Leibowitz et al., 1983), the pursuit efference involved will combine with that needed to oppose
the slow phase of OKN, giving different results depending on the direction of the eye deviation with respect to
the OKN stimulus, as illustrated in Figure 1.
We predicted that eye deviation in the same direction
as the stimulus would result in reduced 1M (Figure lA).
Less voluntary efference would be required to oppose
OKN slow phase than that in the baseline condition, because OKN slow phase during this eye deviation would
also be opposed by viscoelastic forces and reflexive tone,
which force the eye back to the primary position. As in
autokinesis, these forces require a component of voluntary efference in the same direction as OKN slow phase
and voluntary eye deviation, subtracting from the voluntary efference required to oppose OKN. Net voluntary
efference and 1M, however, would still be in the direc-
231
tion opposite OKN slow phase. This is because the efference required to maintain a moderate gaze deviation is,
as noted, too small to give an illusion of motion on its
own, compared with the robust illusion of motion that occurs during OKN suppression .
For eye deviation opposite the direction of OKN slow
phase, we predicted greater 1M, because the voluntary
efference required to overcome physical and reflexive
forces resisting the eye deviation should summate with
that necessary to suppress OKN (Figure lC). Thus, we
compared 1M magnitudes in three conditions of fixationtarget position, in order of increasing predicted magnitude:
eyes deviated in the same direction as stimulus contour
motion, eyes straight ahead, and eyes deviated opposite
the direction of stimulus motion.
METHOD
Ten individuals. aged 21 to 37 years, 5 women and 5 men, served
as subjects. They were either emmetropic or mildly myopic and
wore their normal corrections during the experiment.
The experimental apparatus, the techniques for inducing and measuring 1M, and the choice of inducing stimulus parameters have
been dealt with in detail elsewhere (Heckmann and Post, 1988; Post
& Heckmann, 1986). All observations were binocular, with the subject seated at the center of a vertical hemicylindrical screen (radius
= 50 ern, extending 180° x95°) onto which vertical stripes moving horizontally at 60° /sec were projected by means of a shadow
caster. Each pair of dark-light stripes subtended 15 0. A fixation
target approximately .25° in diameter was projected onto the screen
by means of a laser and a galvanometer-mounted mirror.
The method for measuring 1M magnitude, originally employed
by Post and Heckmann (1986), was based on reports (e.g., Wallach,
Bacon, & Schulman, 1978) that orthogonal directions ofiM and real
fixation-target motion combine to yield an apparent path of motion
that is the vector sum of the two. During exposure to horizontally
moving contours, the subject continuously adjusts a rod manually
by feel to match the apparently slanted path of travel resulting from
real vertical motion of a fixation target and a horizontal vector of
1M. The method is effective in capturing moment-to-moment changes
in 1M magnitude during prolonged stimulation, permitting the dynamics of the illusion and its aftereffects to be studied (Heckmann
& Howard, in press; Heckmann & Post, 1988; Post & Heckmann,
1986; Post & Lott, 1990). Measurements correlate highly with a
technically more complex version of the method in which the
horizontal 1M vector is canceled rather than matched; errors owing
to matching a manually palpated slant to a visual one are negligible
compared with differences in magnitudes of 1M obtained across stimulus conditions (Heckmann, 1986). 1M of ~ fixated target observed
with this method correlates highly with that measured by apparent
horizontal displacement of a fixation target that is stable in the vertical, as well as the horizontal, direction (Post et al., 1989) and is independent of vection (induced motion of the self) experienced during
prolonged exposure to large, rapidly moving backgrounds, even
though such stimuli are optimal for generating vection as well as robust OKN (Heckmann & Howard, in press; Heckmann & Post, 1988).
On each trial, the subject initially sat in darkness and indicated
when ready for the trial to start. Each trial began with the appearance of the fixation target and the moving striped background,
whereupon the subject began to continuously adjust the slant of the
rod to match the apparent slant of the path of the fixation target.
The target moved upward 15° at 3°/sec, was extinguished. immediately reappeared at its original starting point, and began moving
upward as before. The subject refixated it and tracked it upward
again without interrupting the continuous slant-matching task. The
232
HECKMANN, POST, AND DEERING
extent of the vertical path of the spot bisected the horizontal plane
of gaze, so that there was no net deviation of gaze from the horizontal. Trials lasted 30 sec, during which slant was sampled every
10 sec.
There were three pairs of trials per subject. In one pair of trials,
the fixation target was positioned at the subject's median sagittal
plane (straight ahead). In another pair of trials, it was positioned
10° left of straight ahead. In a third pair, it was placed 10° right
of straight ahead. Within each pair of trials, the striped background
moved left in one trial and right in the other. The orders of fixationtarget position and background direction were randomized within
each subject. This scheme gave three conditions of direction of fixation with respect to the direction of background stimulus motion,
with leftward and rightward stimulus motion being represented in
each condition. In one condition, target fixation required deviation
of the eyes away from straight ahead in the same direction as background stimulus motion (the with-stimulus condition), the head being stabilized in line with the body by means of a dental-impression
bitebar so that only the eyes deviated to maintain target fixation.
In a second condition, target fixation was straight ahead of the subject
(the straight-ahead condition). In the third condition, target fixation required deviation of the eyes away from straight ahead in the
direction opposite that of background motion (the opposite-stimulus
condition).
Perceived slants were sampled at 10, 20, and 30 sec after trial
initiation to permit verification of a previously reported gradual increase in 1M magnitude during prolonged stimulation (Heckmann
& Howard, in press; Heckmann & Post, 1988; Post & Chaderjian,
1988; Post & Heckmann, 1986; Post & Lott, 1990) and evaluation
of its interaction with the direction of fixation. Prior to analysis,
data were trigonometrically converted to the horizontal 1M velocity vectors required to give the reported apparent slants.
RESULTS
A three-way within-subject analysis of variance assessed
three main effects (stimulus duration, fixation direction,
and stimulus direction) and their interactions (Table 1).
The absence of significant interactions among the main
effects allowed each to be considered independently.
Figure 2 represents the effect of stimulus duration. The
illusory horizontal velocity ofIM, averaged over subjects
and collapsed across fixation direction and stimulus direction, is plotted at 10, 20, and 30 sec. The gradual increase
in 1M magnitude with stimulus duration replicates findings with other subject groups (Heckmann & Howard,
in press; Heckmann & Post, 1988; Post & Chaderjian,
1988; Post & Heckmann, 1986; Post & Lott, 1990). The
Table 1
Analysis of Variance
~ue
Stimulus Duration
Fixation Direction
Stimulus Direction
Stimulus Duration
Stimulus Duration
Fixation Direction
Three-Way
df
2
2
I
x
x
x
Fixation Direction
Stimulus Direction
Stimulus Direction
4
2
2
4
F
p
25.27
<.001
5.81
<.025
10.31
<.025
1.07
n.s.
1.35
n.s.
1.24 '
n.s .
.64
n.s.
14
12
U 10
W
en
a
W
8
C
::iE
6
4
2
0
0
10
20
30
TIME: SECONDS
Figure 2. Average over 10 subjects oUM magnitude sampled 10,
20, and 30 sec during exposure to bemicyIindricaIb8ckground of pr0jected vertical stripes moving borizonta1ly at 60° !sec. 1M magnitude
increases with stimulus duration. Error bars represent ± I SEM.
increase in 1M magnitude over time was statistically significant [F(2,18) = 25.27, P < .001].
Histograms in Figure 3 represent average 1M magnitudes for the three conditions of fixation direction, collapsed over the two other factors. The difference in 1M
magnitude across the three conditions was statistically significant[F(2, 18) = 5.81, P < .025]. Differences across
conditions were also in the predicted order: the smallest
1M magnitude occurred in the with-stimulus condition,
and the greatest occurred in the opposite-stimulus condition. A post hoc comparison between treatments revealed
a significant difference between the with-stimulus and
opposite-stimulus conditions (Scheffe criterion, p < .01),
but not between other conditions.
There is also a significant effect of stimulus direction
[F(l ,9) = 10.31, p < .025], in which average rightward
1Min response to leftward background motion was 8.2 °/sec
and mean leftward 1M in response to rightward stimulation was H.2°/sec. This directional bias is presumed to
be an artifact of the manner in which the hand-held rod
was mounted on the apparatus. Its plane of rotation was
oblique rather than normal to a frontal plane of the subject, approaching the subject from the left to the right.
Thus, the wrist of the right hand was already hyperextended toward the right when the rod was gripped
without any slant, giving an attenuated range of wrist motion in this direction (in response to leftward stimulation),
compared with the range available for leftward wrist rotation (in response to rightward stimulation). Other studies
in which the plane of rod rotation was normal to a frontal
plane have found no effect of stimulus direction (Heck-
INDUCED MOTION AND EYE DEVIATION
12
10
()
8
W
(J)
a
~
6
4
2
o
WITH
STIMULUS
STRAIGHT
AHEAD
OPPOSITE
STIMULUS
DIRECTION OF FIXATION
Figure 3. 1M magnitude averaged over 10 subjects and three durations for witb-sdmulus, straiIbt-abead, and opposite-stimulus c0n-
ditions. 1M magnitude increases across fixation conditions as
predicted In Figure 1. Error bars equal ± 1 SEM.
mann & Howard, in press; Post & Lott, 1990). The
stimulus-direction effect in the present experiment did not,
in any event, influence responses to stimulus duration and
fixation direction, as shown by the absence of interactions
among the three main effects.
DISCUSSION
When subjects fixate a horizontally stationary target in
the presence of prolonged unidirectional background
movement, the magnitude of fixation-target 1M decreases
when fixation requires deviation of the eyes in the same
direction that the slow phase of OKN would otherwise
occur. This is consistent with a reduction in the voluntary fixational effort required to suppress the slow phase
of OKN. Suppression is partially assisted by viscoelastic
and reflexive forces resulting from the eye deviation.
Also, a component of voluntary effort, required to maintain eye deviation in the same direction as the slow phase,
subtracts from the effort that opposes nystagmus. 1M magnitude increases when the eye deviation required to fixate is opposite the direction of the suppressed OKN slow
phase. This is consistent with an increase in the voluntary effort to suppress nystagmus, which is required to
overcome viscoelastic and reflexive forces resisting the
eye deviation.
These results do not conflict with pursuit as the efferent mechanism for suppression of nystagmus by retinally
stabilized or imaginary targets (Howard, Giaschi, &
Murasugi, 1989; Wyatt & Pola, 1984). Evidence for the
physiological identity of effector mechanisms in pursuit
and nystagmus suppression has already been reviewed
(Heckmann & Post, 1988). Nystagmus suppression oc-
233
curring with afterimages and imaginary targets is consistent with this identity, since pursuit itself is similarly effective with afterimages (Mack & Bachant, 1969) and
during imaginary and predicted target motions (Steinbach,
1976; Whittaker & Eaholtz, 1982). A predictive component of nystagmus suppression has also been detected
(Larsby, Hyden, & Odqvist, 1984).
The present results argue against an account that considers 1M the cause, rather than the result, of pursuit efference (Wyatt & Pola, 1979). First, the gradual increase
in 1M magnitude over time is highly correlated with an
increase in optokinetic system activity as assessed through
OKAN (Heckmann & Post, 1988). Causal precedence of
1M over pursuit would require an 1M that builds up over
time independently of the duration effect on the optokinetic
system. However, no principle available from alternatives
to the nystagmus-suppression account independently explains the duration effect on 1M and its exquisite tuning
to the dynamics of the optokinetic system (Heckmann &
Post, 1988; Post et al., 1989). Since evidence reviewed
by Heckmann and Post (1988) indicates that the pursuit
signal is the mechanism for nystagmus suppression, it is
simpler to assume that nystagmus suppression is causally
prior to 1M. Similarly, if examination of alternative accounts of 1M phenomena supply no basis independent of
nystagmus suppression for the present fixation-direction
effect, then nystagmus suppression itself remains the sole
explanation of this effect. A number of explanations apart
from nystagmus suppression have been developed for the
wide variety of phenomena defined as 1M, and they fall
into four main categories: vection-entrained 1M, oculocentric 1M, object-relative 1M, and subject-relative 1M.
The ability of each to explain the present results is considered, the first two as valid manifestations of semiautonomous motion mechanisms that function within different physiological frames of reference and produce their
own characteristic forms of 1M.
In vection-entrained 1M, stationary contours within or
adjacent to a vection-inducing display are often experienced as moving along with the self during vection
(Duncker, 1929; Fischer & Kornmiiller, 1930; Warren,
1895). Although use of small contour fields is no guarantee against vection (Johansson, 1977), large fields of contour in prolonged unidirectional motion are optimal not
only for vection, but for OKN as well. Their effectiveness in stimulating the optokinetic system has made such
fields the stimuli of choice in testing the nystagmussuppression hypothesis through the use of 1M. Yet, OKN
and vection can be directionally dissociated by placing
the OKN stimulus closer to the subject than the vection
stimulus (Brandt, Dichgans, & Buchele, 1974; Brandt,
Dichgans, & Koenig, 1973). Using a similar stimulus configuration, Heckmann and Howard (in press) obtained
complete directional dissociation of fixation-target 1M
measured by the present method not only from vection,
but from vection-entrained 1M; the two forms of 1M could
be driven in opposite directions at the same time. Furthermore, measures of vection and fixation-target 1M were
234
HECKMANN, POST, AND DEERING
quantitatively independent of one another, regardless of
their relative directions, showing that fixation-target 1M
is unaffected by concurrent vection. The present results,
therefore, are not attributable to any change in vectionentrained 1M accompanying fixation-target 1M.
Heckmann and Howard (in press) interpreted vection
and vection-entrained 1M as illusory motion occurring in
an "exocentric" frame of reference for relations between
the world and the whole body. The entire frame of reference for "egocentric" motions of objects relative to the
self is carried along with the self during vection. Vectionentrained 1M thus adds subjective velocity to objects undergoing egocentric motion; they move "along with" the self,
but only as fast as the self is moving. Thus, there is no
additional registration of egocentric motion-motion relativeto the self-giving no effect on the 1Mofa fixation target
when registered as the horizontal vector of an apparent
slant. Egocentric motions and IMs may further be broken
down into "headcentric" and "oculocentric" forms.
Headcentric motion is represented by motion sensations
associated with ocular pursuit and illusions arising from
nystagmus suppression (such as 1M in the present study),
since these experiences are fundamentally about motion
with respect to the head. Oculocentric real motion and
1M, which arise from afferent motion mechanisms operating in retinal coordinates, are superimposed on the headcentric form. Oculocentric mechanisms are those responsible for such effects as spatial and velocity tuning of the
1M of stationary, as opposed to moving, gratings (Levi
& Schor, 1984) and 1M in different parts of the visual
field in opposite directions at the same time (Brosgole,
1968; Gogel, 1977; Heckmann & Howard, in press;
Nakayama & Tyler, 1978). In such cases, the motion sensation is often "fleeting and ephemeral" (Heckmann &
Post, 1988), occurring at full strength immediately upon
viewing and fading in and out, in contrast with the robustness and gradual increase in 1M of the headcentric or
nystagmus-suppression type. Preliminary measures of
simultaneous, but opposite, IMs of the oculocentric type
made with the present slant-matching method show that
this method does indeed register oculocentric 1M. However, the magnitude of the oculocentric form is negligible compared with that of the nystagmus-suppression type
(Heckmann & Howard, in press), representing a few
minutes of arc per second of subjective velocity. Differences among fixation directions in the present study were
measurable in degrees per second rather than minutes per
second and were also robust across time, as indicated by
the gradual buildup in magnitude and the absence of interaction between stimulus duration and fixation direction.
These facts argue against oculocentric 1M as the source
of the present results.
Another argument against oculocentric factors in the
present results is the symmetry of retinal configuration
across fixation conditions. No retinal differences were
available across conditions that might serve as a basis for
oculocentric effects on fixation direction. Symmetry of
configuration across fixation conditions also eliminates
the object-relative-motion account (Duncker, 1929), because it imputes 1M to a change in the position of a stationary target relative to that of a background, such as
a moving rectangle, which develops an asymmetrical
visual frame of reference as it moves. Stimulus symmetry
also eliminates the subject-relative account (Bridgeman
& Klassen, 1983; Brosgole, 1968; Duncker, 1929), in
which illusory motion of a stationary target is interpreted
from an apparent shift in the visual egocenter within a
shifted, asymmetrical frame of reference. Further disconfirmation of this account is found in the fact that a positional shift in the visual egocenter in the direction of background motion develops very slowly, taking about 60 sec
to complete (Post & Heckmann, 1986). However, a slowly
developing factor did not influence the effect of fixation
direction, as shown by its failure to interact with stimulus duration in the analysis.
The requirements ofvection induction, the independence
of fixation-target 1M from vection, the feebleness of oculocentric 1M (relative to that of a single fixation target), the
ad hoc nature of phenomenological accounts, and the dynamics of visual egocenter change during induction leave
nystagmus suppression alone to account for 1M of the classical type: robust, continuous illusory fixation-target motion
induced by a moving rectangular frame (e.g., Duncker,
1929; Rock, Auster, Schiffman, & Wheeler, 1982; Wallach
et al., 1978; Wallach & Becklen, 1983). This idea receives
positive support from the identical dependence of OKN
and 1M on the oscillation frequency of a frame inducer
(Post et al .• 1989). Also, depth adjacency in 1M, originally studied with such stimuli (e.g., Gogel & Koslow,
1972), can also be attributed to nystagmus suppression.
This is because adjacency of convergence to an inducing
background determines the direction ofIM more strongly
than does simple adjacency of fixation target and inducer
(Heckmann & Howard, in press). This is similar to the
dependence of OKN on the depth relationship of convergence and inducer (Howard & Gonzalez. 1987; Howard
& Simpson, 1989).
Even so, it should be clear from the foregoing that the
nystagmus-suppression hypothesis is not intended to explain all 1M phenomena. Rather, 1M of a fixated target
has been used as an experimental model to test various
implications of nystagmus suppression when the stimulus is optokinetic, versus vestibular or spontaneous, as
in other illusions of fixation-target motion.
Certain forms of 1M still pose a challenge to the proposed categories of exocentric, headcentric, and oculocentric motion-sensitivity mechanisms. A case in point
is 1M in depth with respect to a frontoparallel plane (Gogel
& Griffin, 1982). Nystagmus suppression may yet, however. serve as a unifying explanation for other cases that
seem at first to defy these categories. For example, the
direction and magnitude of 1M is influenced by attention
to competing inducing stimuli (Gogel & MacCracken,
1979; Gogel & Sharkey, 1989; Gogel & Tietz, 1976). This
is consistent with enhancement of OKN gain by attention
directed at a moving display (Barnes & Hill, 1984; Cheng
INDUCED MOTION AND EYE DEVIATION
& Outerbridge, 1975; Dubois & Collewijn, 1979; HolmJensen, 1984). The fact that 1M occurs with discrete, as
well as continuous, changes in the background (Bridgeman
& Klassen, 1983)does not argue againstnystagmus suppression, since OKN can occur with a stroboscopically illuminated stimulus (Schor, Lakshminarayanan, & Narayan,
1984). Apparent retrograde motion of a small stationary
target when tracking the inducing stimulus has been
termed 1M (Gogel & Griffin, 1982; Wallach et al., 1978).
Yet, this is also an instance of the Filehne illusion, which
can be interpreted as a failure of the position constancy
signal associated with ocular pursuit because the need for
voluntary pursuit of a large inducer is small, the inducer
being an effective stimulus to OKN (Post & Leibowitz,
1985). A position constancy signal associated with pursuit effort to suppress nystagmus may also explain an
underregistration of moving-frame displacement observed
during 1M (Rock et al., 1982). This signal pushes the subjective visual egocenter opposite the direction of pursuit
effort (Post & Heckmann, 1986), that is, in the same
direction as stimulus motion. Displacement between the
subjective egocenter and the stimulus is thus less than actual stimulus motion relative to the observer.
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(Manuscript received February 7, 1990;
revision accepted for publication May 6, 1991.)