  Let $(X,H)$ be a smooth, projective, polarized surface over $\mathbb{C}$, and
let $v \in K_{\mathrm{num}}(X)$ be a class of positive rank. We prove that for
certain Bridgeland stability conditions $\sigma = (\mathcal{A}, Z)$ "on the
vertical wall" for $v$, the good moduli space $M^\sigma(v)$ parameterizing
S-equivalence classes of $\sigma$-semistable objects of class $v$ in
$\mathcal{A}$ is projective. Moreover, we construct a bijective morphism
$M^{\mathrm{Uhl}}(v) \to M^\sigma(v)$ from the Uhlenbeck compactification of
$\mu$-stable vector bundles.
