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建立了三次PB曲线的显式表示方法，研究了三次PB曲线的特征性质，讨论了它的尖点、重结点及拐点的情况，给出了其控制多边形各边之间的几何关系，得到了以有理五次Bézier曲线精确表示的等距线和多项式形式的弧长表达式．
The explicit expression method of three times PB curves is established. The characteristic properties of cubic PB curves are studied. The cusp points, heavy nodes and inflection points are discussed. The geometric relationships between the control polygon edges are given. The arc length expression in the form of equidistant line and polynomial accurately represented by rational five Bézier curves.