Abstract: Two Beizer curves from two random control ploygons are obtained firstly in the present paper,which are constituted of two discount lines; then these curves are taken as control lines to map those web control points within a ploygon of outline;Finally, an intuitive and expeditious interpolation algorithm realizing object\|source mapping is used to paint every pixel. Experimental results of image deformation using the algorithm prove that this algorithm is intuitive, expeditious, and practical.