Before revision:  Essential equations to the conversion of a convex polygon to a voronoi polygonare derived along this paper . As a reference, a very standard convex PIP testing algorithm, the sign of offset \textit{ , is selected for comparison.
After revision:  Essential equations to the conversion of a convex polygon to a Voronoi polygon, are derived . As a reference, a very standard convex PIP testing algorithm, the sign of offset \textit{ , is selected for comparison.