Egocentric distance estimation requires eye-head position signals
Gunnar Blohm1, J. Douglas Crawford1,2
1Centre for Vision Research, York University, 4700 Keele Street,
Toronto, Ontario, M3J 1P3, Canada and Canadian Institutes of Health Research, Group for Action and
Perception
2Departments of Psychology, Biology and Kinesiology & Health
Sciences, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada
In order to successfully reach to an object presented in the visual field, the brain must
reconstruct the egocentric spatial location of this object from available retinal and extraretinal
information. The retinal images from both eyes are merged to provide a unique (cyclopean)
representation of object direction. Retinal disparity between eyes provides information about the
object’s distance from the cyclopean eye. The complex geometry of eye-in-head and head-on-body
rotations suggests that retinal disparity information of a reach target may not be invariant with
regards to gaze (cyclopean eye-in-space) direction.
Here, we developed a 3-dimensional (3D) binocular model that incorporates the complete geometry of
eye and head rotational positions. We show that different eye-head orientations produce distinct
retinal disparities so that, given a target viewed at fixed retinal disparity and cyclopean retinal
location, the brain cannot reconstruct target distance without knowledge of eye and head positions.
Thus, extraretinal eye and head positions are needed, in addition to retinal disparity and vergence
signals, to compute an estimate of distance.
This represents the first theoretical evidence showing that the depth component of a desired reach
can be accurately computed only if the brain takes into account the linkage geometry of the eye and
head. This calculation thus requires a complete 3D visuo-motor reference frame transformation.