On a morphological transformation for convex domains (Q1114933)

Let A, B be convex bodies in \(E^ n\). Their Minkowski difference is defined by \(A/B=\{z\in E^ n:\quad B+z\subset A\}.\) The Minkowski symmetral of A is given by \(S(A)=(A+(-A)).\) The author gives a complete characterization of the plane convex bodies K for which there exists a \(t\in [0,1)\) such that \(K_ t=K/(t-1)S(K)\) is homothetic to K. He gives references to applications of \(K_ t\) in the theory of convex bodies and in morphology.