Three-dimensional molecular shape determination from a limited number of projections

A real space method allowing the reconstruction of negatively stained crystalline objects from a limited number of projections is presented. The method is based on the assumption that only two density levels are required to describe an ideally negatively stained object (that of the volume occupied by the object and that of the volume occupied by the stain). The method is illustrated by the reconstruction of the asymmetric unit of catalase microcrystals using only the three principal projections. It is shown that other projections can then be predicted to a good approximation.