A four-dimensional data-set recorded in a single lens scanning microsc
ope provides sufficient information to reconstruct an unaberrated imag
e of the (weak phase) specimen at twice the conventional resolution de
fined by the width of the objective aperture and with infinite depth o
f focus. We present experiments on the optical bench in the SOM config
uration. The technique may be of considerable importance in the deconv
olution of electron shadow images and Gabor holograms.