  Mesh refinement is a fundamental step for accurate Multi-View Stereo. It
modifies the geometry of an initial manifold mesh to minimize the photometric
error induced in a set of camera pairs. This initial mesh is usually the output
of volumetric 3D reconstruction based on min-cut over Delaunay Triangulations.
Such methods produce a significant amount of non-manifold vertices, therefore
they require a vertex split step to explicitly repair them. In this paper, we
extend this method to preemptively fix the non-manifold vertices by reasoning
directly on the Delaunay Triangulation and avoid most vertex splits. The main
contribution of this paper addresses the problem of choosing the camera pairs
adopted by the refinement process. We treat the problem as a mesh labeling
process, where each label corresponds to a camera pair. Differently from the
state-of-the-art methods, which use each camera pair to refine all the visible
parts of the mesh, we choose, for each facet, the best pair that enforces both
the overall visibility and coverage. The refinement step is applied for each
facet using only the camera pair selected. This facetwise refinement helps the
process to be applied in the most evenly way possible.
