Abstract: The paper generalized the Bernstein Bases replacing the variable of u by the function f(u).The structure and quality of the new basis were analyzed.This new curve using this bases not only possesses all of the characters of Bézier curve but also produces some advantages.For example, the curve’s degree can easily be changed by adjusting factor,but u do not changes the shape of the curve,and the position for Bezier curve and the proposed Bézier curve to correspond to the points on the curve is different.Finally,the continuity condition of the curve was also discussed.This bases and curve have some study value.

Key words: Bernstein Base,Bézier curve,Similar Bézier curve ,G2 continuity,Adjust control parameters