Helmholtzian Strategy to Stay in Focus with Binocular Vision

Justin Ruths, Bijoy K. Ghosh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We study problems that can be applied to controlling the rotational motion of a pair of human eyes. Eyes move to acquire a point target and the control task is to direct the eye-pair towards the general target direction and, if the target is close by, to focus on the target. Roughly speaking, the former task is accomplished by versional eye movements and the latter task of pinpointing the eyes on a specific point is accomplished by vergence eye movements. We assume that the versional movement rotates the eye-pair identically whereas the vergence movements are specific to each eye with the goal of focusing. Although it is commonly believed and evidenced by collected data that 'versional eye movements satisfy Listing's Law', we show in this paper that Listing's eye movements do not maintain focus. Perhaps surprisingly, we show that if the eye controller maintains a Donders' surface originally proposed by Helmholtz, eye movements away from points on the Transverse Plane maintains focus. For points above or below the Transverse Plane, we show by simulation that rotations satisfying the Helmholtz condition maintain focus as well. Recorded data from human eye movement satisfying Listing's law supports the observation presented here.

Original languageEnglish
Title of host publication2018 European Control Conference, ECC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9783952426982
StatePublished - Nov 27 2018
Event16th European Control Conference, ECC 2018 - Limassol, Cyprus
Duration: Jun 12 2018Jun 15 2018

Publication series

Name2018 European Control Conference, ECC 2018


Conference16th European Control Conference, ECC 2018


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