Two parameters extension of cubic Bezier curve and its applications

A set of quartic polynomial basis function with two parameters is presented.It is an extension of the cubic Bernstein basis function.Based on these basis functionst,he polynomial curve with two parameters is defined.The curve inherits many properties of cubic Bezier curve.Its shape can be adjusted more easily.Parameters λ,μ have specific geometric significance.When control points are fixed,parameters λ,μ have the function of pushing or dragging curve.When λ = μ the quartic curve degenerates to the polynomial curve with a shape parameter.The focus of this paper is discussing how to realize C1-continuity built-up of two-piece of curves.