  The simple entropic method to statistical reconstructing of heterogeneous
three-dimensional media from a single two-dimensional image is briefly
reported. We apply the entropic descriptor quantifying spatial inhomogeneity
that depends on length scale. The multiscale reconstructing procedure is
boosted when we start from the synthetic 3D configuration. It is randomly
generated with the overlapping spheres of a radius depending on the structure
considered. In our scenario, the simulated annealing terminates when all
assigned temperature loops are completed. Thus, the quality of the results for
different samples can be fairly compared. The reliable 3D reconstructions of
porous sandstone, ceramics and carbonate samples are obtained. They suggest the
entropic method is a promising approach, which offers a kind of compromise
between the computational efficiency and the accuracy of the statistical
reconstructions. Furthermore, this approach is versatile enough to be extended
for any multiphase medium.
