The corneal reflex method is used to detect the current direction of view (VD) of a user (UE) to perform specifically selected functions on a computer. Eye vectors (EV) can be detected between the pupil center (ZP) and reflection points (RP) on the cornea (CA) that can be associated with a fixation point (FP) on a computer screen using infrared light (IRS). The association is produced as a function of the direction of view (VDF), so the relationship is detected during an initial calibration (C) by a referenced user (RE) to develop a set of reference eye vectors (EVR). A shorter self-balancing recalibration (RC) is then carried out for each subsequent user (UE). A mapping function (MF) is detected during the recalibration (RC) so that the individual eye vectors (EVU) can be converted to the reference eye vectors (EVR) by the mapping function. The recalibration (RC) can take place without the user (UE) realizing it. The method is useful in medical diagnostics, psycho-optical examinations and eye-controlled interaction with multimedia computers.