The covariogram of a compact convex set $K \subset \mathbb R^n$ is
the function that at each point $x \in \mathbb R^n$
associates the volume of
$K \cap (K + x)$. The covariogram determines, among all convex
bodies, any planar convex polygon. In this paper we present an
algorithm for reconstructing an arbitrary convex polygon from its
covariogram.
