  Femtoscopy is a unique tool to investigate the space-time geometry of the
matter created in ultra-relativistic collisions. If the probability density
distribution of hadron emission is parametrized, then the dependence of its
parameters on particle momentum, collision energy, and collision geometry can
be given. In recent years, several measurements came to light that indicated
the adequacy of assuming a L\'evy-stable shape for the mentioned distribution.
In parallel, several new phenomenological developments appeared, aiding the
interpretation of the experimental results or providing tools for the
measurements. In this paper, we discuss important aspects of femtoscopy with
L\'evy sources in light of some of these advances, including phenomenological
and experimental ones.
