The interpolation function has the delta function property , so the essential boundary conditions can be simply imposed 由于插值函数具有delta函数特点，因此可以很方便地施加本质边界条件。
Cubic spline interpolant in power exponent form was introduced , and its existence under the first boundary condition was proved 摘要本文给出了三次样条插值函数的指数形式；在第一类边界条件下，证明了其存在性。
The characteristic of cubic - hermite interpolating function indicates that it can approach to the highway horizontal alignment curve with a high degree , and simple in calculation 埃尔米特插值函数的特点决定其能很好地逼近被插值函数，且计算过程简便。
This article establishes a highway horizontal alignment design method bused on cubic - hermite interpolating function , which has a practical reference for future work 本研究建立了公路平面线形设计的埃尔米特插值函数方法，可供公路平面线形设计工作参考。
The experiment shows that its results are close to ones of cubic - spline function , and fit to the criterion of jtj011 - 94 requirement 公路平面线形实例设计表明，三次埃尔米特插值函数用于公路平面线形设计中，能够满足路线设计规范( jtj011 - 94 )的要求，其设计结果与三次样条函数设计结果接近。
The article build the mathematic model of terrain surface with the nonlinear insert calculation using the distance entropy function as the insert calculation function in terrain surface fitting and deal the visualization with grid method 采用非线性插值方法，用距离熵函数作为地表曲面拟合的插值函数，构造地表曲面的数学模型，并采用规则格网法进行表面剖分，最终实现地形的三维可视化效果。
One is lagrange method , the other is penalty parameters method , the numerical results of linear and quadratic basis functions were compared and some suggestions on the choice of basis functions were lodged , and by using two samples their effect on conclusions are presented 讨论了用不同的基函数对插值函数及对无单元法的计算精度的影响，并用算例说明了处理本征边界条件和基函数不同时的影响。
The paper analyzes and discusses the law that the result precision of thermal stress is affected by the proportionments of element border length , border condition , form function and so on , and compares the method with displacement finite element method being used 分析、讨论单元边长比、边界条件以及插值函数形式等对热应力结果精度的影响规律，并与现有的位移有限元方法进行比较、分析、评述。
A simple method for selecting the transform matrix which preserve the above property of multi - scaling vector was presented . with the dilation property of the fractal interpolation function , one multi - scaling vector and it ' s refinement equation was presented 给出了r = 2时，能够保持尺度向量上述特性的变换矩阵的一个简单选取方法，并且利用分形插值函数的伸缩特性，给出了一个尺度向量并推导了其满足的加细方程。
At the same time , in order to improve the distinguish ability to electricity layer . on the basis of assuring physical meaning of the conductance and the parameter , use thrice spline insert number function to deal with the fieldwork data , realize the differential imaging 同时，为了提高对电性层位的分辨能力，在明确电导及其导数曲线物理含义的基础之上，采用三次样条插值函数对实测数据进行重构，实现了电导参数的微分成像。
