Wang-Said型广义Ball曲线的细分算法

Wang-Said型广义Ball曲线(WSGB),以不同参数L统一表达了一批有用的曲线.利用对偶泛函,给出了此类曲线的一种新颖的显式细分算法.与传统的离散算法不同,该算法避免了烦琐的矩阵求逆及基转换,推导简捷;且其使用可归结为细分矩阵与顶点向量阵的乘积,绘图比较方便.作为特例,参数L取特殊值时验证了与Wang-Ball细分矩阵、Said-Ball细分矩阵表达式的统一性.

Subdivision Algorithm for Wang-Said Type Generalized Ball Curves

With the parameter of L,Wang-Said type generalized Ball curves(WSGB),represented a number of useful curves with an uniform expression. By using dual function,a novel explicit subdivision algorithm was given. Different with the traditional subdivision algorithms,this one avoids complicated computation by the matrix inversion and conversion of basis function. The algorithm can be efficiently achieved by multiply of subdivision matrix and vector of the vertices which leads to simple drawing of the curves. As a...