The Journal of Neuroscience, March 15, 2000, 20(6):2360-2368
Curvature of Visual Space Under Vertical Eye Rotation:
Implications for Spatial Vision and Visuomotor Control
J. Douglas
Crawford1, 2,
Denise Y. P.
Henriques1, 2, and
Tutis
Vilis1, 3
1 Medical Research Council Group for Action and
Perception and 2 Centre for Vision Research and Departments
of Psychology and Biology, York University, Toronto, Ontario, Canada
M3J 1P3, and 3 Department of Physiology, University of
Western Ontario, London, Ontario, Canada N6A 5C1
Most models of spatial vision and visuomotor control reconstruct
visual space by adding a vector representing the site of retinal
stimulation to another vector representing gaze angle. However, this
scheme fails to account for the curvatures in retinal projection
produced by rotatory displacements in eye orientation. In particular,
our simulations demonstrate that even simple vertical eye rotation
changes the curvature of horizontal retinal projections with respect to
eye-fixed retinal landmarks. We confirmed the existence of such
curvatures by measuring target direction in eye coordinates in which
the retinotopic representation of horizontally displaced targets curved
obliquely as a function of vertical eye orientation. We then asked
subjects to point (open loop) toward briefly flashed targets at various
points along these lines of curvature. The vector-addition model
predicted errors in pointing trajectory as a function of eye
orientation. In contrast, with only minor exceptions, actual subjects
showed no such errors, showing a complete neural compensation for the
eye position-dependent geometry of retinal curvatures. Rather than
bolstering the traditional model with additional corrective mechanisms
for these nonlinear effects, we suggest that the complete geometry of
retinal projection can be decoded through a single multiplicative
comparison with three-dimensional eye orientation. Moreover, because
the visuomotor transformation for pointing involves specific parietal
and frontal cortical processes, our experiment implicates specific
regions of cortex in such nonlinear transformations.
Key words:
visuomotor; spatial vision; eye position; retina; three-dimensional; geometry; arm movement; pointing
Copyright © 2000 Society for Neuroscience 0270-6474/00/2062360-09$05.00/0