  Weighted essentially non-oscillatory (WENO) and finite volume (FV) methods
employ different philosophies in their way to perform limiting. We show that a
generalized view on limiter functions, which considers a two-dimensional,
rather than a one-dimensional dependence on the slopes in neighboring cells,
allows to write WENO3 and $3^\text{rd}$-order FV schemes in the same fashion.
Within this framework, it becomes apparent that the classical approach of FV
limiters to only consider ratios of the slopes in neighboring cells, is overly
restrictive. The hope of this new perspective is to establish new connections
between WENO3 and FV limiter functions, which may give rise to improvements for
the limiting behavior in both approaches.
