查询词典 interpolation error

On the basis of the study on the mathematical model of the closed-loop location control, the analysis of contour error in the process motion control and error calculation model, according to the lack of using normal contour error model not to calculate contour error of curve in real-time, combining real-time contour error compensation control strategy and fuzzy logic theory, the fuzzy logic and real-time contour error calculation based self-discipline control strategy is proposed.

2在研究闭环位置控制数学模型、加工轮廓运动控制中的误差分析和轮廓误差计算模型的基础上，针对利用一般运动轮廓误差计算模型不能实时计算出曲线轮廓误差的不足，结合实时轮廓误差补偿控制策略和模糊逻辑理论，研究了基于模糊逻辑理论和实时误差计算的轮廓自律控制策略。

The evaluation method and algorithm of shape error (roundness, plane straightness, space straightness, cylindricity) were discussed. A new kind of algorithm, namely mesh searching method, which can be used to evaluate the roundness error, plane straightness error, space straightness error and cylindricity error, were put forward. With this algorithm, the shape error can be obtained by transferring the distance formula repeatedly and simple judgment without linearzing the distance formula (from point to point or point to line) and choosing optimal direction and step length.

对形状误差(圆度、平面直线度、空间直线度、圆柱度)的评定方法及算法进行了讨论，提出了一种评价圆度误差、平面直线度误差、空间直线度误差及圆柱度误差的新算法——网格搜索法，该算法不需要对距离公式线性化，也不需要选定优化方向和优化步长，只需重复调用距离公式和简单的判断即可得到符合定义的形状误差。

In the paper, a generalized error model for the robots is set up by using DH coordinates. Moreover, a new analytical technique called"analysis on the error prominency factors for the robot pose error"is proposed. Numerically, the error prominency factor can express the extent of influence on the pose error of the end effector resulted form every DH parameter error within the whole working space of the robot.

在这一研究过程中，除了建立了用DH坐标描述的机器人末端位姿误差和轨迹误差的通用模型之外，还提出了一种新的机器人位姿误差分析技术——机器人位姿误差的显著性分析法。

Based on the discussion about fitting normal error's definition, constitution and properties, it was suggested that fitting normal error represented the error of fitting plane linear in old highway. The accuracy index of fitting plane linear in old highway based on fitting normal error was set up. The algorithm of swinging approach on compressible size step that could be used to calculate the fitting normal error was put forward. The method and basic norm of decision about fitting normal error's symbolic were discussed.

在论述拟合法线偏差定义、构成及性质的基础上，提出以拟合法线偏差表征旧路平面线形拟合偏差；建立了基于法线偏差的旧路平面线形拟合精度指标；提出了采用步长压缩摆动趋近法计算拟合法线偏差的算法，并就拟合法线偏差的符号判定准则及方法进行了讨论。

On a grating type gear integrated error measuring equipm ent, this technique employs the three-point method error separation technique fo r separation of the systematic error of the measuring chain of equipment spindle system including measuring worm error, grating transducer error, bearing rota ry error etc.

在一台光栅式齿轮整体误差测量仪上，它用三点法误差分离技术能分离开仪器轴系测量链的系统误差(包括测量蜗杆误差、光栅传感器误差、轴承回转误差等)和被测齿轮的全谐波误差。

The error estimation inequation of Wachspress interpolation indicates that the error of Wachspress interpolation decreases with the reduction of polygonal element size.

利用wachspress插值形函数的性质和二元函数的Taylor展开式的向量形式，给出了wachspress插值的误差估计不等式。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

After analysing the existing smooth orientation interpolation methods we proposed a smooth orientaion interpolation method based on cubic cardinal spline in quaternion space. This method possesses the following advantages: interpolation, C〓 continuity, accurate evaluation of the quaternion value at arbitrary parameter, transparent to the users, adjustable parameters for controlling the velocity of orientation change.

在分析现有的朝向光滑插值方法基础上，提出了基于四元数空间三次C样条的朝向光滑插值方法，该方法具有插值、C〓连续、任一参数处的四元数值可精确求得、对用户透明、可以用参数调节关键帧处物体朝向变化的速度等优点。

In the third chapter, we obtain the average errors(asymptotic order or weakly asymptotic order) of the Lagrange interpolation sequence, the Hermite-Fejer interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

第三章分别给出了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的值。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

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。