A theory is presented for image retrieval when a planar transparency i
s illuminated by spatially incoherent light that propagates in free sp
ace and is then recorded on a CCD array, but without using an imaging
lens. Based on Maxwell's equations and Fourier-optical, linear-systems
theory, equations are derived for digital processing of this badly bl
urred image in order to recover a reasonable facsimile of the original
. Rigorous impulse responses and their corresponding transfer function
s are presented for the cases of general amplitude illumination and fo
r incoherent illumination.