1. A projection system that comprises: a display that renders a video representing a sequence of original images each having a corresponding frame interval, the rendering performed by displaying a plurality of subimages in each frame interval that average to approximate the original image corresponding to that frame interval; and at least one viewing device that attenuates each said subimage by a respective coefficient to synthesize a target image for each frame interval for a user of said viewing device, at least one of said respective coefficients being in a range between zero and one to optimize, subject to customization constraints, at least one optimization goal in the set consisting of: viewing device transparency, subimage variance, weight coefficient variance, overlay mask transparency, and any weighted combination thereof, wherein the plurality of subimages, coefficients, original and target images for a given frame interval satisfy a matrix equation Ia=SWIs, with Ia being a matrix having rows that represent the original and target images, S being a diagonal matrix of scale factors that specify a relative brightness of the original and target images, W being a matrix having said coefficients as elements, and Is being a matrix having rows that represent the plurality of subimages.