摘要
本文提出了一种抛物线加权平均曲线光滑插值算法。它满足了一个特殊的要求，即曲线通过全部节点且到弦的垂直距离最短。同时，将张力系数引入该方法中，并给出了包含张力系数的光滑方程。
When we use Douglas-Peuker algorithm to line data compression, We select critical points using a Perpendicular distance tolerance． Existing interpolation techniques often fail to restore thd critilcal points．In this paper, a new algorithm for spline interpolation curve by werghted average has been put forwad. This method not only keep the curve through the critical points but also with the shortest perpendicular distance, thus restore the critical points. Then tenso-friction is proposed to this methd,and It's equationesare given out．
关键词
抛物线加权
曲线光滑
插值法
测绘
几何变换
Spline, interpolation by weighted average,geometric transformation, tensofriction
