Many military simulator applications, visual systems for virtual planetariums and future movies will require the generated image to be free of distortion regardless of where in some allowable volume the observer's eyepoint lies. Under distortion is understood nonlinear garbling an expressing, visible watcher, a non-flat caused by presence projection surface (projection dome), optical system characteristics and electronic blocks of projector. The dome usually is a twenty foot diameter sphere and is coated with a high-gain sheeting. An image drawn on the projection plane (the frame buffer) is scanned out on the surface of the dome. The resulting image is then reprojected onto the viewplane. Distortion is introduced by the lens, the non-planar dome, and possibly the projector's electronics and CRT as well. Our approach is oriented on tasks that require extreme computational capabilities. It is a promising one for future development taking into consideration dramatically improving technology.