2条相邻C-B样条曲线的近似合并

采用曲线拟合与广义逆矩阵理论相结合的方法,将2条相邻C-B样条曲线合并成1条C-B样条曲线。通过大量数据分析,选择了曲线弧长来定义细分参数,给出了合并后曲线的形状参数及曲线控制顶点的表达式。通过误差公式,对合并误差进行了分析,分别在形状参数相同和不同时做出了合并效果图,计算了合并误差。结果显示,其合并效果较好。实例结果表明了本文方法在曲线设计中的有效性,并有利于在CAGD中进行产品外形数据的压缩与传递。

Approximate Merging of a Pair of C-B spline Curves

In this paper, through the methods of combining curve fitting method and the generalized inverse matrix theo- ry, the two adjacent C B spline curves were turned into a C-B spline curve. Through a large amount of data analysis, the pa per in the subdivision parameters was selected on the arc length of a curve to define subdivision parameters, shape parame- ters and the curve of control vertices are merged curve was given. Finally, the error formula, with error analysis, the com- mon shape parameter and made with effect diagram, the combined calculation error, error results with better. The results indicated that the proposed method is effective in curve design, very compression and transmission of products configuration data for CAGD.