Shape blending of Bézier-like curve

Bezier-like curve is defined in view of a symmetric opinion.The parametric continuity preserving problems of blending curves are investigated by using the boundary properties of Bezier-like curve.In the linear blending process,the maintenance conditions of the first order and the second order parametric continuities are especially derived,and several solutions are discussed.Then nth order balance parametric continuity condition and its relative parametric preserving algorithm are given.The algorithms can be used in computer animation and industry design.