插值函数

The first part gives some basic introduction to the meshless methods of Partial Differential equation.

第一部分给出了偏微分方程数值解的无网格方法，特别介绍了以径向基函数插值为基础的配置点法。

It can be indicated by the practical example that the fractal-interpolated surface function is obviously superior to the quadric polynomial surface for the fitted accuracy of the height anomaly.

实例计算结果表明，分形插值曲面函数拟合高程异常的精度明显优于二次多项式曲面。

Our study shows that it is a good choice to apply generalized rational parametric curve to interpolate and fit unorganized data, because it provides higher numerical stability by appropriately adjusting the support of basis functions.

最后应用广义有理参数曲线对散乱数据进行插值拟合，它可以通过调整基函数的支撑域来优化方程的系数矩阵，因此提供了更高的数值稳定性。

An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

该文从上构造一组初始基，该基具有类似Bézier基的端点性和插值性，在此基础上定义空间上的H-Bézier基函数并给出了的递推公式，讨论了该基所具有的性质。

An approach to image interpolation based on local fractal similarity transformation suitablefor complex images in natural scenes is described. Similarity transformation of rectangular image blocks are added and the extremem method in the function with two variables is used to obtain the optical similarity transformation.

提出了适用于复杂自然景物图像的基于局部分形自相似变换的图像插值方法，在常用的局部分形自相似变换基础上增加了矩形图像块的自相似变换，并采用二元函数的极值方法求最佳相似变换。

Finally, applying the current basis function of three-term sinusoidal expansion, the radiation characteristic and input impedance of the vertical and horizontal antennas above lossy ground are analyzed by the method of moments with the variation of frequency, height from the ground and ground parameters.

最后，用矩量法，采用正弦插值基函数，研究地面上方垂直、水平线天线的辐射特性和输入阻抗随着频率、离地高度、地面参数等变化的情况。

Using the moderately thick cylindrical model and sinusoidal interpolation basis function, the sleeve monopole at the circular ground plane is analyzed by the moment method. The input impedance and radiation pattern are given.

采用粗圆柱线天线快速精确计算模型，选用正弦插值基函数，将圆盘地面和套筒作为一个整体进行矩量法分析计算，研究其驻波和辐射方向图特性。

This paper using trajectory planning based on spline function,rigid robot Lagrangian kinetics set up system mathematical model.

论文运用了基于插值样条函数的轨迹规划法，机器人手臂拉格朗日动力学方程建立了系统数学模型，为自动包装机机器人手臂系统设计提供了新思路。

The relationship between relative yield and relative water use is formulated,based on these data, a optimal irrigation scheduling under sprinkling irrigation condition can be made or the lower level of soil moisture in different growing stage might be teken as the indicator for the scheduling irrifgation in winter wheat.

喷灌条件下土壤水分、硝态氮空间变异特征研究：应用地统计学理论，以半方差函数为工具分析不同灌溉制度下，土壤含水率(0～60cm)和土壤中硝态氮在相应深度的空间分布，用各类模型拟合半方差图，在此基础上应用普通克立格技术估算未知点的土壤含水率，使用最优内插值法绘制土壤含水率和硝态氮在田间的空间分布等值线图。

In this paper , we use the symmetric interpolating scaling function as the basis for the resolution space.

本文即选用对称插值尺度函数作为解空间的基。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。