斜轴抛物线插值的改进算法与近似算法

基金项目: 国家863计划资助项目(2007AA12Z213)

详细信息

An Improved and Approximate Interpolation by Skew Axial Parabola

¹Institute of Geographic Sciences and Natural Resources Research,Chinese Academy of Sciences,A11 Datun Road,Beijing 100101,China;²Graduate University of the Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China

Funds: 国家863计划资助项目(2007AA12Z213)

摘要: 为提高加权平均法求插值点的效率,用相邻斜轴抛物线顶点的切矢量构造Hermite插值曲线,避免了开方运算。为提高切矢量计算效率,用长度比值点确定的切线方向作为切矢量近似方向,用弦线在切线上的投影长度作为切矢量模。实验表明,所提出的算法与斜轴抛物线加权平均算法相比,插值曲线形状相近而效率更高。
- 插值 /
- 斜轴抛物线 /
- Hermite
Abstract: Given two adjacent oblique axial parabolas,we propose a method to construct a Hermite curve from the tangent vector of the vertex.This method avoids extracting.Moreover,addition,substituting the direction determined by ration points for the above mentioned direction is a viable way to improve performance.The magnitudes of tangent vectors can be set to the projected length of chord in the approximate method.While gain similar shape the two algorithms are more efficient than weighted average interpolation.
- interpolation /
- oblique axial parabola /
- Hermite