  We study how a general steady configuration of finitely-many point vortices,
with Newtonian interaction or generalized surface quasi-geostrophic
interactions, can be desingularized into a steady configuration of vortex
patches. The configurations can be uniformly rotating, uniformly translating,
or completely stationary. Using a technique first introduced by Hmidi and Mateu
\cite{Hmidi-Mateu} for vortex pairs, we reformulate the problem for the patch
boundaries so that it no longer appears singular in the point-vortex limit.
Provided the point vortex equilibrium is non-degenerate in a natural sense,
solutions can then be constructed directly using the implicit function theorem,
yielding asymptotics for the shape of the patch boundaries. As an application,
we construct new families of asymmetric translating and rotating pairs, as well
as stationary tripoles. We also show how the techniques can be adapted for
highly symmetric configurations such as regular polygons, body-centered
polygons and nested regular polygons by integrating the appropriate symmetries
into the formulation of the problem.
