二次插值法

Solving the problem of one-dimensional search optimization methods are golden section method, the second interpolation, and so on.

求解一维搜索问题的最优化方法有黄金分割法、二次插值法等。

This paper has discussed four different gridding methods in space domain, i.e., linear interpolation, multiquadric function, ordinary Kriging and inverse interpolation. The calculation of these gridding methods is illustrated by both theoretical model and real aeromagnetic data examples.

文中介绍了线性插值法、多元二次函数法、普通克里格法、反插值法等4种空间网格化法的原理，并利用这些网格化方法进行了理论模型和实际航磁数据的试验分析。

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理；接着，重点研究了地球物理不规则分布数据网格化的普通克里金法，主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理；之后，重点研究了地球物理不规则分布数据网格化的反插值法，主要研究了反插值法的方法原理和迭代求解算法，以及反插值法实现地球物理数据网格化的原理；最后，应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

There are some mature curve fitting methods in the reverse engineering, such as Lagrange interpolation, piecewise polynomial interpolation, least square method and spline interpolation.

成熟的曲线拟合方法有拉格朗日插值法、分段多项式插值法、最小二乘法和样条曲线插值法等，本文在分析各自优缺点的基础上，提出选用三次样条曲线拟合法。

Based on three-points quadratic interpolation ,an algorithm is provided for solving nonlinear equation.

利用优化技术中的三点二次插值法求解，在不需要计算导数的情况下给出一种具有超线性收敛的迭代算法。

Comparing to the 3-points quadratic interpolation of Lagrange i...

重点对比分析了常用的Lagrange插值法，并以Lagrange插值法中的三点二次插值法为例进行了对比仿真试验。

The procedures used visual c development, design optimization for mechanical engineering, for the classical parabolic law, also known as the quadratic interpolation, good operating results.

本程序采用visual c++开发，用于机械优化设计工程计算，为经典的抛物法，又称二次插值，运行结果良好。

Thereinto, quadratic interpolation is uesed in undimensional search, and Powell arithmetic is used to solve unconstrained minimziation.

其中，利用二次插值法进行一维搜索，选用Powell算法进行无约束极小化求解。

It has been shown that the calculation resultS Of the two methods,the simplified integral and quadratic interpolation methods used in 1 D modelling of CSAMT(Controlled Source Audio frequency Magnetotellurics )method differs from each other significantly.

研究发现，两种目前比较常用的可控源音频磁大地电流法的正演计算方法，即简化积分法和二次插值法之间计算结果差异较大。

Isogram addition with line, histogram, and Lorenz plot is latterly realized in HBACIS so that the results of the inquiring, calculating and analyzing of the climate information can be visually displayed. The successful exploitation of HBACIS shows that the B/S system adopted JSP can totally satisfy the requirement of the agricultural climate information system. For one thing, JSP with the characteristics of high efficiency and security, multiplatform and expansibility, basing on the object oriented language-JAVA, can be sustained widely, and is easy to exploit and maintain. The JSP tags can be extended and the components are reused. For another, the client side of the B/S system is all applied with the browser as the interface, which is very simple and wieldy.

通过比较认为逐点插入法不需要进行二次插值，不要求等值点均匀分布，比较适合在网络环境下绘制湖北省各气象要素等值线图，并采用面向对象的方法实现了等值线图、折线图、柱状图、散点图等气象上常用可视化表达的功能，使各种查询、统计、分析结果能以等值线、折线图、柱状图、散点图显示，能较直观反映查询、统计、分析结果。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。