线性奇异混合C-B样条曲线

Linear singular blending C-B spline curve

C-B样条曲线具有与B样条曲线同样的一些优点,参数α的引入增强了曲线的控制能力。为了更好地调节自由型曲线,文章运用奇异混合技术将C-B样条曲线与其控制多边形混合,构造了一种新的参数曲线,这种曲线继承了C-B样条曲线的所有优点,并且可以调节曲线在每个控制顶点的线性度,增强了C-B样条曲线的形状控制能力,算法简单,是更为直观方便的造型设计工具。

The C-B spline curve has some advantages of the B-spline curves, and the controllability of the curve is enhanced by use of the parameter a. The singular blending technology is used to mix the C-B spline curve and its control polygon, and then a new parameter curve is created. This curve inherites all the advantages of C-B spline curves,and the degree of linearty of the curve at each of the control vertices can be adjusted, thus enhancing the shape-control capability of the C-B spline. Its algorithm is simple,and it is a more convenient design tool.