I have to proof, that given a set of Points P, to decide if the Voronoi Diagram of P has bounded Voronoi Cells.
I have read about, that a Cell is unbounded if it is on the Convex Hull of P. In that sense it's kinda obvious that a bounded cell is always "sorrounded" by other bounded or unbounded cells. Since for unbounded cells it must exist points, which have infinit distance to the point of the cell.
But how can I formally proof that a cell is unbounded? I have thought of bringing this to a contradiction-proof, but I did not fully get it.
Any assistance/guidance would be highly appreciated!