  We present a technique for analyzing the full three-dimensional density
profiles of a planar crystal-fluid interface in terms of density modes. These
density modes can also be related to crystallinity order parameter profiles
which are used in coarse-grained, phase field type models of the statics and
dynamics of crystal-fluid interfaces and are an alternative to crystallinity
order parameters extracted from simulations using local crystallinity criteria.
We illustrate our results for the hard sphere system using finely-resolved,
three-dimensional density profiles from density functional theory of
fundamental measure type.
