A device for measuring the three-dimensional movements of an eye includes: (a) a mark array that identifies prescribed positions on the eye whose movements are to be measured, (b) a digital camera for capturing the two-dimensional images of this marker array as the eye is moved, (c) a light source that illuminates the marker array with an output that is outside the spectral range of the camera, (d) light source that are used to align the camera's optical axis with the center of the eye, (e) an algorithm for computing the three-dimensional positions of the marker array from the information contained in the captured digital images , and (f) a base for fixing the position of the camera relative to the position of the eye, wherein the materials of the marker array are chosen so that the array has the ability to, when illuminated as described above, give off energy that is in the spectral range of the device's camera.