One embodiment is a method for finding, calculating and electronically marking a reference axis for astigmatism correction/neutralization of a patient eye during a refractive surgery. The reference axis for astigmatism correction/neutralization can be determined intra-operatively based on one or more eye property measurements together with simultaneous recording a live eye image. The determined reference axis of astigmatism correction/neutralization can be updated and registered with one or more land mark(s) of the recorded eye image(s); and overlaid onto a live image of the eye. Another embodiment is a method of calculating and displaying in real time compensated refractive errors of the eye under operation with refractive components due to temporary surgically induced factors removed and refractive components due to surgeon-induced factors added.