周期控制点列Bernstein-Bezier曲线拟合的特性

Properties of Bernstein-Bezier Curve-Fitting for Periodic Control Nets

研究具有周期性的控制点列的Bernstein-Bezier（B-B）曲线的极限性质，给定周期控制点列，其B-B曲线的中点输出极限是控制点的重心；当固定边界周期控制多边形为三角形时，B－B曲线过三角形的重心，并且在控制多边形重复的一边B．B曲线为直线．

The limit of Bernstein-Bezier curve for periodic control nets is discussed in this paper. The Iimit of Bernstein-Bezier curve is the centroid of the control nets. The curve for fixed edge control nets reveals some interesting structures. L-system and Gray code are used to describe the periodic contral nets.