Digital processing of optical coherence functions can reconstruct three-dim
ensional objects illuminated by incoherent light. It is shown that Fourier
analysis of the mutual intensity of the field produces projections that are
mathematically identical to the projections of x-ray cone-beam tomography.
A lensless interferometric camera that captures planes of mutual intensity
data is described and used to reconstruct an incoherently illuminated visi
ble object in three dimensions.