基于拟合方法的两相邻Bézier曲线的合并逼近  

Approximate merging of a pair of Bézier curves by the fitting method

作　　者：陶长虹[1] 余永莉[2] 郭清伟[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009 [2]合肥市计量测试研究所,安徽合肥230001

出　　处：《合肥工业大学学报（自然科学版）》2004年第11期1502-1507,共6页Journal of Hefei University of Technology：Natural Science

摘　　要：通过把曲线拟合方法与广义逆矩阵理论相结合,给出了把两相邻n次和m次Bézier曲线合并成一条k次Bézier曲线的方法。该方法可直接得到合并Bézier曲线控制顶点的显示表示式,且不论相邻Bézier曲线是否为同次,均可直接合并。在合并过程中,分别考虑了不具有端点插值条件和具有端点高阶插值条件的情形。最后给出数值实例,并把本文方法所得结果与采用已有方法所得结果进行了比较,显示该方法的有效性。By combining the fitting method of curves with the theory of the general inverse matrix, an approach is proposed which deals with approximating two Bézier curves with adjacent degrees by one Bézier curve. The explicit formula of control points of the merged Bézier curve can be given directly, and two adjacent Bézier curves can be merged into a single Bézier curve directly whether the degrees of the two adjacent Bézier curves are equal or not. In the merging process, two cases are considered respectively. One is the case without constraints of endpoints interpolations. The other is the case with constraints of endpoints interpolations. Finally, the numerical examples are presented,and the results obtained by the presented approach are compared with those got by the current method,which shows the effectiveness of the presented method.

关 键 词：BÉZIER曲线 合并 拟合 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]