A system for capturing super-resolved images includes a camera and a projector. The projector projects a spatially periodic illumination pattern onto the scene to be captured. The spatially periodic illumination patterns may include any pattern or combination of patterns that result in complex modulation. The objects of the scene modulate the spatially periodic illumination patterns, shifting high spatial frequencies into the passband of the camera's optical transfer function. The images may be demodulated, and the demodulated components may be combined with un-modulated components. The resulting image has characteristics of the high spatial frequencies previously beyond the optical passband of the camera.