C-B样条曲线的形状修改

Shape Modification of C-B-spline Curves

提出了控制C-B样条曲线形状修改的两种方法:修改控制参数和修改控制顶点。在分析C-B样条基函数导数曲线特性的基础上,得出了控制参数对曲线形状的作用,提出了调节控制参数修改曲线形状的方法;另一方面,运用约束优化方法,修改C-B样条的控制顶点,使得C-B样条曲线通过调整的控制顶点,使修改前后曲线的距离范数达到最小。

In this paper, two methods of changing the control parameter and changing control points are presented for the shape modification of C - B spline curves. The relation between C - B- spline curves and the control parameter is obtained based on the analysis of the derivative C- B- spline basis functions. Furthermore, presents a new method constrained optimization based on changing the control points of the curves. By this method,modify control points of the original C - B- spline curves to satisfy the given constraints and modify the shape of the curves optimally.