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 language | English |
|---|---|
| Title of host publication | Proceedings of the 32nd Chinese Control Conference, CCC 2013 |
| Publisher | IEEE Computer Society |
| Pages | 950-955 |
| Number of pages | 6 |
| ISBN (Print) | 9789881563835 |
| State | Published - Oct 18 2013 |
| Event | 32nd Chinese Control Conference, CCC 2013 - Xi'an, China Duration: Jul 26 2013 → Jul 28 2013 |
Publication series
| Name | Chinese Control Conference, CCC |
|---|---|
| ISSN (Print) | 1934-1768 |
| ISSN (Electronic) | 2161-2927 |
Conference
| Conference | 32nd Chinese Control Conference, CCC 2013 |
|---|---|
| Country | China |
| City | Xi'an |
| Period | 07/26/13 → 07/28/13 |
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.