摘要
对拉格朗日插值法、牛顿插值法、切比雪夫插值法不同阶次的插值效果进行了比较。这些方法的插值精度都比较高,但是随着插值节点的增多,边缘精度急剧下降,并出现龙格现象。针对这一问题,提出了滑动式分段插值的方法,对边缘的龙格现象进行消除,同时保留了高次插值中间插值结果的高精度。实验证明,这种处理方法有较高的精度,可以达到mm级。
In this paper, we compared the different interpolation results through Lagrange interpolation, Newton interpolation, Chebyshev interpolation. Those methods to interpolate can get an precise result,but as the interpolation nodes increases, marginal precise declined sharply, and the Runge's phenomenon may be emerged. To solve this problem, we used the sleek interpolation method to eliminate Runge's phenomenon on the edge.The experiment proved that this method had a high precise, and it could achieve millimeter level.
出处
《地理空间信息》
2013年第5期94-96,13,共3页
Geospatial Information
基金
国家自然科学基金资助项目(41064001)
广西自然科学基金资助项目(2012GXNSFAA053183)
广西空间信息与测绘重点实验室研究基金资助项目(桂科能 1103108 - 06)
关键词
精密星历
多项式插值
滑动式分段插值
precise ephemeris,polynomial interpolation,sleek interpolation
