分段三次多项式插值的节点导数研究

Study on nodal derivatives in segmental cubic polynomials interpolation

分段三次多项式插值是科学实验和计算机地图制图中数据处理的重要方法。分析Akima五点法的缺点,研究评价节点导数计算方法优劣的标准,进而提出用方位角的平均值确定节点导数的算法,得到一种图形效果优于Akima五点法的插值新方法。

Segmental cubic polynomials interpolation is an important data processing method in science experiments and computer mapping. This paper analyzes the shortages of Akima five point method, researches on the evaluation criteria of the advantages and disadvantages of nodal derivatives calculation method. And then, it presents the calculation method of determining nodal derivatives based on mean of azimuth. At last this paper gets a new interpolation method superior to Akima five point method in graphics effect.