We propose a compact compound-eye projector using superresolved projection. The optics are composed of multiple small suboptics (units) to reduce their thickness in the projector. Each of the suboptics adds a subpixel shift to a projected image for superresolved projection and has a color filter or a dispersive element for multicolor projection. The projected images in the units are determined via a model of the system in preprocessing. The images are projected by the suboptics and superimposed on a screen. In this Letter, we describe the system model and show the simulation results.