A parametric spline curve with a shape factor is produced on a hyperbolic paraboloid, which cart approach its contra) polygon, and possesses fine geometrical properties. This spline can be done with degree reduction and elevation. We analysis the properties of two end-points, that enables us to attach a fairly curve. A G2-continuity curve can be connected by those spline if we use a group of determined shape factors.%在二次曲面上构造一种带有形状因子的有理参数样条曲线,该样条曲线能逼近所在的控制多边形,且有较好的几何特性,并且可以作升阶和降阶处理.分析其端点性质,便于拼接成光滑曲线,如果选取合适的形状因子,可以使得曲线连接成G2连续.
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