  Fundamental measure theory (FMT) for hard particles has great potential for
predicting the phase behavior of colloidal and nanometric shapes. The modern
versions of FMT are usually derived from the zero-dimensional limit, a system
of at most one particle confined in a collection of cavities in the limit that
all cavities shrink to the size of the particle. In [Phys. Rev. E 85, 041150
(2012)], a derivation from an approximated and resummed virial expansion was
presented, whose result was not fully consistent with the FMT from the
zero-dimensional limit. Here we improve upon this derivation and obtaining
exactly the same FMT functional as was obtained earlier from the
zero-dimensional limit. As a result, further improvements of FMT based on the
virial expansion can now be formulated, some of which we suggest in the
outlook.
