A bijective coded aperture system uses mirror system with a multitude of reflector elements attached to an absorbing, such as black, substrate. Each of the reflector elements is independently placed at a different angle with respect to each other in such a manner that the image of the scene is replicated several times at the focal plane and on the image sensor. Moreover, these replicated images may be overlapping. An image processor can then execute reconstruction methods of the image to faithfully represent the scene.