利用有理三次Bézier曲线的端点插值性质,导出了构造三次插值样条曲线曲面的一种新的基函数——RB基函数。由RB基函数构造了C1有理三次插值样条曲线和有理双三次插值样条曲面。
According to the endpoint interpolation properties of rational cubic Bézier curve,a new basic function for constructing the curve and surface of cubic interpolation spline——RB basic function is educed.C1 rational cubic interpolation spline curves and rational double-cubic interpolation spline surfaces are constructed by the RB basic function.