  On a complex manifold, the embedding of the category of regular holonomic
D-modules into that of holonomic D-modules has a left quasi-inverse functor
$\mathcal{M}\mapsto\mathcal{M}_{\mathrm{reg}}$, called regularization. Recall
that $\mathcal{M}_{\mathrm{reg}}$ is reconstructed from the de Rham complex of
$\mathcal{M}$ by the regular Riemann-Hilbert correspondence. Similarly, on a
topological space, the embedding of sheaves into enhanced ind-sheaves has a
left quasi-inverse functor, called here sheafification. Regularization and
sheafification are intertwined by the irregular Riemann-Hilbert correspondence.
Here, we study some of their properties. In particular, we provide a germ
formula for the sheafification of enhanced specialization and
microlocalization.
