Parameterizing the eye movement dynamics on LIST and SO(3): How to move the singularities away

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Using a suitable parametrization, the dynamics of eye rotation can be written as an Euler Lagrange equation on LIST or SO(3) depending on whether eye is assumed to satisfy the Listing's constraint or not. The equations typically have singularities and we show in this paper that by choosing alternate forms of the state variables, the singularities can be moved, for example from the frontal gaze to the backward gaze direction in the case of LIST. Similar constructions are also possible on SO(3).

Original languageEnglish
Title of host publicationProceedings of the 32nd Chinese Control Conference, CCC 2013
PublisherIEEE Computer Society
Pages950-955
Number of pages6
ISBN (Print)9789881563835
StatePublished - Oct 18 2013
Event32nd Chinese Control Conference, CCC 2013 - Xi'an, China
Duration: Jul 26 2013Jul 28 2013

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference32nd Chinese Control Conference, CCC 2013
CountryChina
CityXi'an
Period07/26/1307/28/13

Keywords

  • Euler Lagrange Equation
  • Eye Movement
  • Listing's Law
  • singularities

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  • Cite this

    Ghosh, B. K. (2013). Parameterizing the eye movement dynamics on LIST and SO(3): How to move the singularities away. In Proceedings of the 32nd Chinese Control Conference, CCC 2013 (pp. 950-955). [6639564] (Chinese Control Conference, CCC). IEEE Computer Society.