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中文摘要：
提出一种基于三角和双曲多项式加权的二次混合样条曲线，这种曲线具有二次非均匀B样条曲线相似性质．这里的权系数也是形状参数，称之为权参数，取值范围从区间[0，1]扩大到区间[-2．6482，3．9412]．权参数的不同取值可以整体或局部地调整曲线的形状，并且权参数能像开关那样，使得曲线的各段能非常方便地在三角样条、双曲样条之间自由转换．不需要用重节点方法或解方程组，而只要令某个或某些权参数取-2．6482，曲线就能接插值于控制点或控制边．此外，还能精确表示椭圆（圆）和双曲线．
英文摘要：
A method of generating quadratic blending spline curves based on weighted trigono- metric and hyperbolic polynomials is presented in this paper, which shares many important properties of quadratic non-uniform B-splines. Here weight coefficients are also shape parameters, which are called weight parameters. The interval [0, 1] of weight parameter values can be extended to [-2.6482, 3.9412]. Taking different values of the weight parameter, one can not only totally or locally adjust the shape of the curves but also change the type of some segments of a curve among trigonometric or hyperbolic polynomials. Without using multiple knots or solving system of equations and letting one or several weight parameter be -2.6482, the curve can interpolate certain control points or control polygon edge directly. Moreover, it can represent ellipse （circle） and hyperbola exactly.
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The dual bases for the Bézier -Said- Wang type generalized Ball polynomial bases and their applicati
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