查询词典 interpolation error

In order to improve our CNC system to a higher level, an interpolation problem of circular in an arbitrary plane was also studied in the paper, where three kinds of interpolation algorithm were given, their feasibility were analysed and compared, and the best algorithm was obtained; In the end of this paper, a new concept of zero—following error position control was advanced, whose control principle and algorithm wre derived.

为使数控系统向更高档次发展，本文还研究了空间圆弧插补问题，给出了三种插补算法，通过分析比较，得到了最佳算法，并用汇编语言进行了可行性验证；在本文的最后，提出了零跟随误差位置控制的概念，并推导出了控制原理和算法。

In the four section,we give a kind of method of construction method,we still give an alogrithm for computing Lagrange interpolation polynomial on sphere.and wo give a piecewise interpolation polynomial on sphere and its error estimate.

最后，给出了一种球面分片插值和它的误差估计。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

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。

In this paper, based on the 1st order Taylor's expansion approximation interpolation, a realtime parametric curve interpolation algorithm is proposed in this paper, which can automatically adjust feedrate to confine the contour error within a given tolerance.

本文在一阶泰勒展开近似插补方法的基础上，给出了一种能够自动调整进给速度，将轮廓误差限定在允许范围之内的参数曲线的实时插补方法。

The second part includes the definition of positive definite function and conditional positive definite function, the basic form of Radial Basis Function interpolation, the correctness of the inversion of the interpolation matrix, the error estimate based on Kringing function.

主要包括径向基函数的相关定义，基本的插值形式，插值矩阵的可逆性，以Kringing范数为基础的径向基函数插值的局部误差估计和径向基函数插值边界附近的情况。

First, we study the optimization of the estimate mean-square error of the polynomial interpolation. We introduce a window shift concept, derive the optimal window shift, and propose the estimation method of the value under a given interpolation order.

首先，我们探讨多项式内插通道估计演算法的估计误差之最佳化，提出滤波器窗口漂移概念，在给定内插阶数的情况下，推得最佳漂移量的理论值与其值估计方法。

For the all classes of dies, if we analyse the fluctuate, tendency of increase and decrease and law which appeared in the die's whole life, we will find that the master of the error are changeless; the error that because the abrade of the cutter and impression will be as the cutter grinding times increased at the same time. And that will cause the error oversize gradually; and also have another part error are unconventional , unforeseen.

对各类冲模冲件误差在冲模整个寿命中出现的波动、增减趋向及规律等进行全面分析便可发现：冲件误差的主导部分是不变的；因刃口或型腔的自然磨损而出现的误差增量随冲模刃磨冲数增加而使这部分误差逐渐加大；还有部分误差的增量是非常规的、不可预见的。

Because of fault in operation and the precision of instrument,the defect error and accidental error are involved in the procession of data collection,the defect error that are brought by mistakes of people and influence of outside is large,the contingency error that are inevitably and randomicity is little.

在采集数据过程中，由于某些操作或仪器原因，往往使数据中包含人为错误，或外界干扰产生的量值较大的"过失误差"以及不可避免的带随机性质且量值较小的"偶然误差"。

After analyzing the main error sources in the system, it discusses the error separation and error compensation of parts of the error source.

在分析了系统的主要误差源后，本论文重点研究了部分测量误差的分离补偿与修正。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。