查询词典 spline interpolation

The algorithm of segment rational quadratic B-spline interpolation to algebraic curve is discussed in details.

重点讨论了代数曲线参数化的分段有理二次B样条插值算法。

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数，当其导数值分别取为导数的精确值，一阶差商，以及算术均差商时，便得到三种插值格式，分别为给定导数值的有理三次插值函数，基于函数值的有理三次插值函数，以及基于算数均差商的有理三次插值函数。

The main idea of this article is how to improve the resolution and precision of photoelectric Autocollimator, contains next aspects: 1, How to improve the resolution of imaging apparatus with Cubic Spline Interpolation Functions.

本文针对如何提高光电自准直仪的分辨率及精度进行研究，研究内容表现在以下几方面： 1、将三次样条插值应用到成像器件的细分中，提高自准直仪成像器件的分辨率。

By cubic spline interpolation and search, the optimum combination was discovered. It was as follows: pH6.51, temperature26.6, time13.8d, quantity of beef extract 2 - 2.5%, the inoculation quantity 21.5%,inorganic salt 0.152%.

对插值所得的结果，通过计算机搜索得到多糖产量达最大值时的组合为：pH值为6.51、温度为26.6℃、培养时间为13.8d、牛肉膏用量为2～2.5％、接种量21.5％和无机盐浓度0.152％。

This is the 3rd spline interpolation function of the C programming, we hope could be applied.

这是对3次样条插值函数的C程序编写，希望大家可以用到。

This is the spline interpolation of source code, university courses calculation method is a case in point.

这是样条插值的源代码，是大学课程计算方法中的一个例子。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Several interpolation methods are introduced, and their simulation results are compared, and cubic spline interpolation is proved to be the best.

对极坐标距离-多普勒成像中的常用插值算法做了比较，认为三次样条插值是一种比较理想的插值方法。

Simulation indicates that Hermite interpolation is superior to the cubic spline interpolation in harmonic analysis.

仿真表明，Hermite插值比三次样条插值对谐波分析更具优势。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。