  A complete family of statistical descriptors for the morphology of
large--scale structure based on Minkowski--Functionals is presented. These
robust and significant measures can be used to characterize the local and
global morphology of spatial patterns formed by a coverage of point sets which
represent galaxy samples. Basic properties of these measures are highlighted
and their relation to the `genus statistics' is discussed. Test models like a
Poissonian point process and samples generated from a Voronoi--model are put
into perspective.
