A method and apparatus comprises a combination of four-dimensional image stacking methods and self-correction features. An input frame in a sequence is modified into multiple subimages with multiple subregions, where there is one and only one subregion in every subimage contains the higher frequency information of the original input frame than the same subregion in all other subimages; each of the subimages is sent to a device of a stacked display system; the sequence of displayed frames is further modified into pairs for temporal stacking. The result is equal or considered better than the original quality. By equipped with sensor based negative feedback processes and correction algorithms, it provides new ways to fast calibration or constantly and continuously self-correction to the display system non-uniformities, including brightness, registration, etc., and all behind the scene during the normal show playing or image presentation therefore unnoticeable to audience.