An eye measuring apparatus includes a stimulator including multiple stimulator light points for projecting a plurality of light rays onto a surface of the cornea of an eye; a camera system for capturing reflected images of the stimulator light points; and a computational unit arranged to analyse the posterior surface of the cornea and/or to obtain a characteristic of the eye on the basis of the reflected images. The control unit is arranged to activate subsequently different subsets of the multiple stimulator light points; and to carry out the following steps: selecting, for each of the different subsets of the multiple stimulator light points, at least one reflected image that corresponds with activation of the respective subset of the multiple stimulator light points, and combining the selected reflected images with each other to analyse the posterior surface of the cornea and/or to obtain the characteristic of the eye.