Multisensory Self-Motion Compensation During Object Trajectory Judgments
Cerebral Cortex March 2015;25:619–630
doi:10.1093/cercor/bht247
Advance Access publication September 22, 2013
Multisensory Self-Motion Compensation During Object Trajectory Judgments
Kalpana Dokka1, Paul R. MacNeilage2, Gregory C. DeAngelis3 and Dora E. Angelaki1
1
Department of Neuroscience, Baylor College of Medicine, Houston, TX 77030, USA, 2German Center for Vertigo and Balance
Disorders, University Hospital of Munich, Munich, Germany and 3Department of Brain and Cognitive Sciences, University of
Rochester, Rochester, NY 14627, USA
Address correspondence to: Dora E. Angelaki, Department of Neuroscience, Room S740, MS: BCM295, Baylor College of Medicine, One Baylor
Plaza, Houston, TX 77030, USA. Email:
Kalpana Dokka and Paul R. MacNeilage contributed equally to this work.
Keywords: flow parsing, object motion, optic flow, self-motion, vestibular
Introduction
We exist in a dynamic environment in which objects constantly
move around us, so accurate judgment of object trajectories is
essential. Assuming that the eyes and head remain stationary
relative to the body, object trajectory relative to the observer
can be recovered directly from retinal image motion associated
with the object. We refer to this as observer-relative object
motion because object motion is represented in observercentered (i.e., egocentric) coordinates. If the observer is
stationary, this estimate also conveys accurate information
about how the object is moving in world (i.e., allocentric) coordinates, which we refer to as world-relative object motion.
Even when the observer is moving, observer-relative object
motion is sufficient for simple interception and avoidance
tasks, such as catching a ball while running or avoiding
collision with another moving car on the highway.
However, in many situations, we need to compute world-relative object motion while we ourselves are moving. Consider a
parent walking a few steps behind a toddler in a crowded
pedestrian environment. The moving parent must judge the
trajectories of the child, other pedestrians, and street-fixed
obstacles to protect the child from collision. To do this, the
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parent must compensate for self-motion to accurately judge
object trajectories in world coordinates because retinal image
motion is determined by the combination of object motion in
the world and self-motion (Fig. 1A,B). If self-motion is not properly accounted for, then judgments of world-relative object
motion will be biased. While compensating for self-motion may
be beneficial for some tasks, we hypothesize that this compensation comes at the cost of decreased precision in judging object
motion, because compensation should add noise associated
with estimation of self-motion.
Previous studies most often report partial compensation for
self-motion during judgments of object motion, but the relationship between accuracy and precision of these judgments has not
been evaluated systematically. One group of studies has evaluated compensation by measuring perception of object speed.
Results often show that the object had to move in the same
direction as the observer to appear stationary in the world, and
thus, self-motion compensation was incomplete. This is true
whether the cue to self-motion was nonvisual-only (Gogel and
Tietz 1977; Gogel 1982; Gogel and Tietz 1992; Mesland et al.
1996; Wexler 2003; Dyde and Harris 2008; Dupin and Wexler
2013) or visual-only (Matsumiya and Ando 2009; Dupin and
Wexler 2013). During combined visual and nonvisual selfmotion, more complete compensation has been reported,
especially when self-motion is actively generated (Dyde and
Harris 2008; Dupin and Wexler 2013). Misperception of object
speed in the world has been attributed to misperception of
object distance (Gogel and Tietz 1977; Gogel 1981, 1982; Gogel
and Tietz 1992), misperception of self-motion velocity (Dyde
and Harris 2008; Dupin and Wexler 2013), or a default tendency
to judge object motion in retinal coordinates (Shebilske and
Proffitt 1981).
Another group of studies has evaluated compensation by
measuring perception of object trajectory. In these studies,
self-motion is most often simulated based on visual cues only
(but see Fajen and Matthis 2013). These studies have concluded that object direction judgments are biased in a manner
consistent with the operation of a “flow-parsing” mechanism
that subtracts the global component of optic flow associated
with self-motion from the retinal image to estimate object
motion (Gray et al. 2004; Warren and Rushton 2007, 2008;
Matsumiya and Ando 2009; Warren and Rushton 2009a, 2009b;
Fajen and Matthis 2013). Unfortunately, results from most of
these experiments do not allow one to directly assess the
degree of compensation (but see Matsumiya and Ando 2009),
and thus, the nature of the representation of object trajectory
(i.e., world-relative vs. observer-relative) remains unclear.
Judging object trajectory during self-motion is a fundamental ability
for mobile organisms interacting with their environment. This fundamental ability requires the nervous system to compensate for the
visual consequences of self-motion in order to make accurate judgments, but the mechanisms of this compensation are poorly understood. We comprehensively examined both the accuracy and precision
of observers’ ability to judge object trajectory in the world when
self-motion was defined by vestibular, visual, or combined visual–
vestibular cues. Without decision feedback, subjects demonstrated no
compensation for self-motion that was defined solely by vestibular
cues, partial compensation (47%) for visually defined self-motion, and
significantly greater compensation (58%) during combined visual–
vestibular self-motion. With decision feedback, subjects learned to
accurately judge object trajectory in the world, and this generalized to
novel self-motion speeds. Across conditions, greater compensation for
self-motion was associated with decreased precision of object trajectory judgments, indicating that self-motion compensation comes at
the cost of reduced discriminability. Our findings suggest that the
brain can flexibly represent object trajectory relative to either the
observer or the world, but a world-centered representation comes at
the cost of decreased precision due to the inclusion of noisy selfmotion signals.
Materials and Methods
Figure 1. Schematic illustration of interactions between object and observer motion and
the experimental protocol. (A) An object (black circle) located to the left of the
observer-fixed fixation point moves downward in the world, while the subject is translated
rightward. (B) This stimulus results in a retinal motion vector that can be computed by the
vector sum of components associated with object movement (speed Vo) and observer
movement (speed Vs). The direction of retinal motion (θ) is tan−1 (Vs/Vo). (C) The task was
a rightward/lef (...truncated)