基于Tailor基数的B样条曲线节点插入快速生成算法

A Fast Generating Algorithm for Knot Insertion of B-Spline Curves by Tailor Series

通过对Tailor级数展开的分析,给出了一种三次均匀B样条曲线节点插入的生成算法.与Oslo算法的递推过程相比,本算法大大简化了运算过程,有效地提高了算法的生成效率.

Through the analysis of Tailor series expansion, this paper giving a generating algorithm for knot insertion of cubic uniform B-spline. Compared with the recurive process of Oslo algorithm, this algorithm simplifies the operation process greatly and improves the generating efficiency.