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This paper presents the mathematical and lighting models of the FF (Free Form) ellipsoidal projector with an MPXL discharge light source. The use of models based on “elementary reflection” has been suggested for lighting calculations. The light intensity in the specific direction of projector's space has been determined by the “reverse ray test”, which makes possible determination of the shape of the “Figure of The Bright Points” and luminance distribution inside the figure. The procedures presented below facilitate development of computer programs for projector modelling and calculations.