Three Kinds of Node-reduce Operator on 3rd Order Bzier Curve
三阶Bézier曲线的三类节点缩减算子

The simplification of Bézier curves in fitting and editing is discussed, three kinds of node-reduce operators are defined, and the algorithms based on them are given in this paper. The simplest Bézier expression can be gotten through the algorithms, and a strict proof is given. These algorithms have been already used in the developing software.