给出了k（ k ≥ ３） 阶指数多项式的均匀样条模型。该类模型具有很多与B 样条模型相同的性质，并 且增加了一个可调节的形状参数。由该模型构造的曲线，通过改变形状参数的取值，可以调整曲线接近其控 制多边形的程度。应用于CAD/CAM领域，可作为几何造型的一种新的有效模型。

 A new model of k( k ≥ 3) order exponential polynomial uniform spline is given.Most of its properties similar to those of the B - spline model, and also it has an adjustable shape parameter. The spline curves which are constructed by the exponential polynomial uniform splines can adjust the curve's shape and degrees between the curve and its control polygon by changing the parameter value. The new model can be applied to the field of CAD/CAM.

赵颜利（1981－），男，山东新泰市人，南京理工大学计算机系博士生，主要研究计算机视觉、计算机图形学与图像分析等