【摘要】 为了更好地满足曲线在造型设计上的需要,构造了一组六次Wang-Ball扩展基函数。此扩展基函数中含有两个形状参数α、β,详细地讨论了这组扩展基函数的性质,由此定义了六次Wang-Ball扩展曲线,该曲线带有两个形状参数,可以改变曲线的形状;讨论了该扩展曲线拼接应具备的条件,可以通过调整两个形状参数来调整曲线的形状,增强了曲线表达能力。应用例子进一步说明该方法是实用的,应用前景非常广泛。更多还原

【Abstract】 In order to better meet the needs of curve modeling design, a set of six-degree Wang-Ball extended basis functions is constructed. The extended basis functions contain two shape parameters α and β. The properties of these extended basis functions are discussed in detail. The six-degree Wang-Ball expansion curve is defined, the curve has two shape parameters, which can change the shape of the curve; The conditions for splicing the expansion curve are discussed. The application example further shows that the method is practical and has a wide application prospect.更多还原