TY - JOUR
T1 - Geometry and control of human eye movements
AU - Polpitiya, Ashoka D.
AU - Dayawansa, Wijesuriya P.
AU - Martin, Clyde F.
AU - Ghosh, Bijoy K.
PY - 2007/2
Y1 - 2007/2
N2 - In this paper, we study the human oculomotor system as a simple mechanical control system. It is a well known physiological fact that all eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices for which the axes are orthogonal to the normal gaze direction. First, we discuss the geometry of this restricted configuration space (referred to as the Listing space). Then we formulate the system as a simple mechanical control system with a holonomic constraint. We propose a realistic model with musculotendon complexes and address the question of controlling the gaze. As an example, an optimal energy control problem is formulated and numerically solved.
AB - In this paper, we study the human oculomotor system as a simple mechanical control system. It is a well known physiological fact that all eye movements obey Listing's law, which states that eye orientations form a subset consisting of rotation matrices for which the axes are orthogonal to the normal gaze direction. First, we discuss the geometry of this restricted configuration space (referred to as the Listing space). Then we formulate the system as a simple mechanical control system with a holonomic constraint. We propose a realistic model with musculotendon complexes and address the question of controlling the gaze. As an example, an optimal energy control problem is formulated and numerically solved.
KW - Eye movements
KW - Geodesics
KW - Hill model
KW - Listing's law
KW - Simple mechanical control systems
UR - http://www.scopus.com/inward/record.url?scp=33947425644&partnerID=8YFLogxK
U2 - 10.1109/TAC.2006.887902
DO - 10.1109/TAC.2006.887902
M3 - Article
AN - SCOPUS:33947425644
SN - 0018-9286
VL - 52
SP - 170
EP - 180
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 2
ER -