EE样条曲线和曲面

EE Spline Curve and Surface

本文引入一种新的样条——EE样条以及由它构成的曲线和曲面。这种曲线和曲面综合了其它样条曲线和曲面的优点,具有C^2级连续性。特别是EE样条曲线段仅与三个相邻的控制顶点有关,所以它具有很好的局部独立性,便于在设计时进行局部修改;其次还可以通过改变一个系数,对整条曲线和整张曲面在一定范围内进行形状调整。本文着重介绍EE样条函数的推导和EE样条曲线的一些简单性质。

In this paper, a new kind of spline-EE spline and surface generated from it are introduced The curve and surface synthesize the advantages of other splines, and have C^2 continuty property. It is most outsdanding that since a segment of EE spline curve has to do with only three near control points, it has minute local independent property. On the other hand, the shape of the curve and surface can be adjusted in a certain range by changing a coeffeient. The method of getting EE spline function and some simple properties of the curve are discussed in this paper.