摘要
给出了一种构造NURBS插值曲线和曲面的显式算法。只要给定合适的边界插值条件,就可用递推的方法直接将控制顶点逐个显式的表示出来,避免了求解线性系统,大大地减少了计算量和误差积累与扩散的机会,具有计算简单、可靠有效、容易实现等特点。
An explicit algorithm for solving NURBS interpolating curves and surfacse is given. With the suitable boundary interpolation conditions, the control points of the NURBS interpolations can be explicitly represented using recurrence algorithm. As the linear system is avoided, the computation is simple and the opportunities for error accumulation and error spread are largely reduced. So explicit algorithm is reliable, effective and easy to be implemented.
出处
《西安工业学院学报》
1995年第4期260-265,共6页
Journal of Xi'an Institute of Technology