Abstract: Projection systems and methods handle images to be viewable on a concave surface, wherein the projected image is modified to account for surface-to-surface reflections due to the concave surface, by determining geometric surface parameters, determining the ideal image, determining a model for reflected light that is a result of surface-to-surface reflections given the ideal image, wherein the model is expressible in closed form, determining a compensation image to compensate for at least some of the surface-to-surface reflections, taking into account at least the ideal image and the reflected light, and combining the compensation image and the ideal image to form a projectable image that can be projected onto a surface having the determined geometric parameters. The surface can be defined by a portion of an interior of a sphere and the reflection of a given pixel can be modeled as a constant over the concave surface.