Two collimated light beams are directed towards an eye to provide two reflection spots. The collimated light beams are advantageously provided by a diffractive beam expander. The reflection spots and the pupil of the eye are monitored by an imaging unit. The collimated beams are at different angles with respect to the imaging unit. The gaze direction is determined based on the angles, the positions of the reflections spots, and the position of the pupil. Thanks to the use of the two collimated beams, the detected gaze direction is substantially independent of the size of the eye, independent of the lateral position of the eye, and independent of the distance between the imaging unit and the eye. The detected gaze angle may be used for selecting between options displayed by a virtual display.
