On the reconstruction of planar lattice-convex sets from the covariogram

Gennadiy Averkov, Barbara Langfeld

A finite subset $K$ of ${\mathbb{Z}}^d$ is said to be lattice-convex if $K$ is the intersection of ${\mathbb{Z}}^d$ with a convex set. The covariogram $g_K$ of $K\subseteq \mathbb{Z}^d…