An eye measurement system may include a target that moves transverse to an optical path from the target to eye, so as to relax accommodation of the lens of the eye. The target may move transverse to the optical path on a display. The patient may be fogged while the target moves transverse to the optical path, and the target may become smaller such that the patient perceives the target to be moving away from the patient. A pupil camera may measure eye position that can be correlated with the position of the target on the display to determine that the patient has maintained fixation on the moving target. A visible measurement light beam may be pulsed subsequent to and/or during motion of the target that relaxes accommodation of the eye so as to avoid visual interference of the measurement light beam with the target on the display.