Is there a special term or convenient phrase for the restriction of a convex region to points of a lattice?
This is motivated by wanting to talk about the feasible points of a discrete problem. I'd like to say the points form a convex region, but since they are a subset of the usual integer lattice in several dimensions, that's not AFAIK correct terminology.
I note that convex lattice polytope refers to the (connected) convex region and not to lattice points contained therein.