Аннотация:The new method of the polygonal figure skeleton representation is proposed. The skeleton is a planar graph, edges of which are linear and quadratic Bezier curves. And the radial function of skeleton is represented by Bezier splines too. This approach makes possible to describe the non-linear skeleton of polygonal figure by the so-called linear control graph comprised of vertices and sides of the control polygons of Bezier curves. Skeleton with the radial function allows the alternative method for representing the figure as a union of the family of circles.