  Imaging of scenes using light or other wave phenomena is subject to the
diffraction limit. The spatial profile of a wave propagating between a scene
and the imaging system is distorted by diffraction resulting in a loss of
resolution that is proportional with traveled distance. We show here that it is
possible to reconstruct sparse scenes from the temporal profile of the
wave-front using only one spatial pixel or a spatial average. The temporal
profile of the wave is not affected by diffraction yielding an imaging method
that can in theory achieve wavelength scale resolution independent of distance
from the scene.
