The invention, exemplified as a single lens stereo optics design with a stepped mirror system for tracking the eye, isolates landmark features in the separate images, locates the pupil in the eye, matches landmarks to a template centered on the pupil, mathematically traces refracted rays back from the matched image points through the cornea to the inner structure, and locates these structures from the intersection of the rays for the separate stereo views. Having located in this way structures of the eye in the coordinate system of the optical unit, the invention computes the optical axes and from that the line of sight and the torsion roll in vision. Along with providing a wider field of view, this invention has an additional advantage since the stereo images tend to be offset from each other and for this reason the reconstructed pupil is more accurately aligned and centered.