平面B样条曲线到四点法曲线的转换问题

Problem of Converting Plane B-Spline Curve into 4-Point Method Curve

研究了离散化B样条曲线的问题 ,提出了一个根据B样条曲线形状自适应地取样的方案 ,使B样条曲线可用四点法曲线近似表示 ;针对 3次准均匀B样条曲线 ,找到一个效果理想、操作简单的取样方案 :在参数区间上等距取 3(n - 1)个样本点 (n为B样条曲线特征多边形的顶点数 ) .

The paper studies the problem of discrete B_spline. It offers an approach to the approximate expression of the B_spline curve by 4_point method curve, which is based on the method of self_adaptive (to the shape of a curve) sampling of a B_spline curve. In addition, a simple and ideal way of sampling on cubic open uniform B_spline type curve is given: 3( n -1) equidistant sample points are taken from a parameter interval ( n is the number of vertex of a B_spline curve characteristic polygon).