Systems and methods for scheduling transmissions from multi-beam transmitters to sets of receivers are provided. Hardware is provided such that layer model data and texture model data is combined to generate fogged pixel color. Preferably, the shape of a side elevation section of each of the rising pieces is set to be a trapezoid. The voltage waveform is for each phase controlled based on the selection phase to achieve image uniformity. The operation timing of the PN generator is corrected corresponding to this error. The file can have a variety of geometrical shapes and cross sections.