矩阵Bézier曲线

Matricial Bézier curves

在计算机辅助几何设计(CAGD)中,Bézier曲线占有重要地位.在实际应用中,有时候需要把若干条曲线结合起来同时使用.把原来的控制顶点推广为控制矩阵,进而,提出了矩阵Bézier曲线的概念,给出了矩阵Bézier曲线的一系列性质、算法和矩阵Bézier曲线的拼接.用矩阵Bézier曲线的轨迹做为机器人机械臂的运动轨迹,可以把机器人机械臂的运动轨迹统一处理,具有很好的可操作性.

Bezier curves have a important role in the field of computer aided geometric design（CAGD）. Sometimes, it is needed for using the association of some curves in their related applications. The original controlling vertexes are extended to the controlling matrics, and the concept of matricial Bezier curves is put forward. The qualities,algorithms and splising of the matrieial Bezier curves are proposed.