Background Minkowski addition is a binary operation on two sets of points (usually geometric objects) in the Euclidean space. The Minkowski sum of two sets \$A\$ and \$B\$ is formally defined as follows: $$ A+B = \{\mathbf{a}+\mathbf{b}\,|\,\mathbf{a} \in A,\ \mathbf{b} \in B\} $$ To say in plain...