Torsion during saccades between tertiary positions

Abstract We systematically studied the effect of saccade direction and saccade starting position on the velocity profile of the saccade. Saccades were made between targets placed at optical infinity by dichoptic presentation. This arrangement was chosen to evoke conjugate eye movements. Eye movements were recorded binocularly, including torsion. Horizontal and vertical movements of the eyes are strongly correlated (r? 0.95) during the saccade, torsional movements are much less so (r█ 0.67). Listing’s law would predict that the three-dimensional versional velocity of the eye would be located in a plane that is tilted out of Listing’s plane by an amount that depends on the saccade’s starting position (half angle rule). Taking together all saccades that started from the same initial position a plane could be fitted through the velocity vectors. However, this plane was tilted less relative to Listing’s plane than predicted by the half angle rule. The deviation was especially large for the yaw component of the tilt (56% of predicted). For the pitch component the prediction was better (81% of predicted). In addition, we find that the torsional velocity during the fast “intrasaccadic” part of the motion can be unequal in the two eyes. The implications for three-dimensional models of saccadic control are discussed.

[1]  D. Tweed,et al.  Testing models of the oculomotor velocity-to-position transformation. , 1994, Journal of neurophysiology.

[2]  T. Vilis,et al.  Geometric relations of eye position and velocity vectors during saccades , 1990, Vision Research.

[3]  C.C.A.M. Gielen,et al.  An alternative three-dimensional interpretation of Hering's equal-innervation law for version and vergence eye movements , 1995, Vision Research.

[4]  K Hepp,et al.  Two- rather than three-dimensional representation of saccades in monkey superior colliculus. , 1991, Science.

[5]  D Tweed,et al.  Implications of rotational kinematics for the oculomotor system in three dimensions. , 1987, Journal of neurophysiology.

[6]  J. T. Enright The aftermath of horizontal saccades: Saccadic retraction and cyclotorsion , 1986, Vision Research.

[7]  H. Collewijn,et al.  A direct test of Listing's law—II. Human ocular torsion measured under dynamic conditions , 1987, Vision Research.

[8]  D. Straumann,et al.  Transient torsion during and after saccades , 1995, Vision Research.

[9]  Ian P. Howard,et al.  Binocular Vision and Stereopsis , 1996 .

[10]  Philippe Lefèvre,et al.  Dynamic feedback to the superior colliculus in a neural network model of the gaze control system , 1992, Neural Networks.

[11]  H. Collewijn,et al.  Binocular co‐ordination of human horizontal saccadic eye movements. , 1988, The Journal of physiology.

[12]  C. Schnabolk,et al.  Modeling three-dimensional velocity-to-position transformation in oculomotor control. , 1994, Journal of neurophysiology.

[13]  A. V. van den Berg,et al.  Relative Orientation of Primary Positions of the Two Eyes , 1997, Vision Research.

[14]  J. M. Miller,et al.  Evidence for fibromuscular pulleys of the recti extraocular muscles. , 1995, Investigative ophthalmology & visual science.

[15]  D. Robinson A quantitative analysis of extraocular muscle cooperation and squint. , 1975, Investigative ophthalmology.

[16]  A. V. van den Berg,et al.  Judgements of Heading , 1996, Vision Research.

[17]  A. V. D. Berg,et al.  Binocular eye orientation during fixations: Listing's law extended to include eye vergence , 1993, Vision Research.

[18]  T. Vilis,et al.  The conjugacy of human saccadic eye movements , 1992, Vision Research.

[19]  T. Vilis,et al.  Rotation of Listing's plane during vergence , 1992, Vision Research.

[20]  H. Collewijn,et al.  Human gaze stability in the horizontal, vertical and torsional direction during voluntary head movements, evaluated with a three-dimensional scleral induction coil technique , 1987, Vision Research.

[21]  T. Vilis,et al.  Computing three-dimensional eye position quaternions and eye velocity from search coil signals , 1990, Vision Research.

[22]  A. V. van den Berg,et al.  Kinematics of eye movement control. , 1995 .

[23]  Philippe Lefèvre A new eye–head coordination model based on gaze velocity feedback to the superior colliculus , 1993 .

[24]  H. Collewijn,et al.  Binocular co‐ordination of human vertical saccadic eye movements. , 1988, The Journal of physiology.

[25]  T. Haslwanter Mathematics of three-dimensional eye rotations , 1995, Vision Research.

[26]  D. Robinson,et al.  A METHOD OF MEASURING EYE MOVEMENT USING A SCLERAL SEARCH COIL IN A MAGNETIC FIELD. , 1963, IEEE transactions on bio-medical engineering.

[27]  A. V. van den Berg,et al.  Binocular eye orientation during fixations: Listing's law extended to include eye vergence. , 1993, Vision research.

[28]  H. Collewijn,et al.  Precise recording of human eye movements , 1975, Vision Research.