Various projection systems are described with improved performance. A projection system utilizes negative distortion together with a pre-compensated light source to reduce spill. A projection system utilizes a single angle transforming optical element positioned between an imager and a light source to increase throughput. A two panel projection system utilizes both polarities to increase light output. A projection system utilizes a three segment color wheel with a small white bias in each segment to reduce color breakup. A projection system utilizes a digital micro-mirror device and recycles OFF state light. A projection system utilizes two color wheels to improve recycling of light. A two panel projection system utilizes a color wheel which transmits a deficient color band and time sequences the other bands while reflecting the unused light back to the light source for recycling.