  The foreseen CaLIPSO Positron Emission Tomography (PET) scanner is expected
to yield simultaneously a fine image resolution, about 1 mm$^3$, and a high
contrast. In this paper we present results of simulations for the full CaLIPSO
PET scanner with a "cube" geometry. We quantify by simulations the expected
image resolution and Noise Equivalent Count Rates and compare them to the
performance of the most efficient clinically used PET scanner, the
High-Resolution Research Tomograph by Siemens. We bring up the issues of the
image reconstruction for a scanner with high spatial resolution. We also
present simulated brain images for [$^{18}$F]-FDG and [$^{11}$C]-PE2I tracer
distributions. Results demonstrate the high potential of the CaLIPSO PET
scanner for small animal and brain imaging where combination of high spatial
resolution and efficiency is essential.
