误差曲线

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。

According to the characteristic of the data processing, a interferogram regrouping error correction algorithm is designed, and devise a method to correct the sampling position error of the central dark fringe.

通过对其数据处理流程特点的分析，设计了一种归一化算法，对由干涉图重组时产生的误差进行了校正，并对在数据采集过程中干涉图的中心暗纹位置的采样误差进行了二次曲线拟合校正。

In the improved curve fitting method,the Schuler component in velocity error was decoupled through the analysis of inertial navigation system.

改进的曲线拟合法通过对惯导系统误差模型的分析，解耦出速度误差项的舒拉部分。

In the thesis, the error analysis of the instruments and error correction curve is presented, so the measurement accuracy is relatively high.

论文中分析了仪器的误差，并画出了误差校正曲线，以达到提高了测量精度的目的。

Applying the error and according to fitting curve equation can be greatly improved the positional accuracy of the NC equipment.

本文提出的测量方法自动化程度高，准确可靠，在很短时间内即可完成对全部几何误差的测量；根据拟合曲线方程实施的误差补偿，可以大大改善数控设备的位置精度，对提高机床加工精度具有重要意义。

In this paper,a rational approximation method of the norm of parametric speed is given,which is more effective than the polynomial approximation.

文章根据等距曲线逼近的关键在于对其参数速度模的逼近，提出了对参数速度模有理逼近的2种形式，在此基础上给出了平面Bézier曲线等距曲线的逼近函数和误差估计函数，并导出了保持法矢平移方向的代数方式的等距有理逼近算法。

First, a smooth curve is obtained from the data by curve fitting with the method of non-linear least squares fit. Then the tangent vector and the radius of curvature of each point on the curve can be calculated for the error evaluation. With the fitted curve, the focusing state of the aspheric lens can be obtained by the method of ray tracing.

主要过程为首先采用非线性最小二乘拟合的方法进行曲线拟合，并计算出曲线上各点的切矢量和曲率半径，分析它们的误差，最后对拟合后的曲线用光线追迹的方法得到非球面镜的聚焦情况。

According to the theory of Sagnac FourierTransform spectrometer, the method which we used to reconstruct the spectrum correctly from the captured interferogram was developed. With the steps of trend term correction, apodisation, phase correction and conjugate symmetrization applied to the interferogram captured and then reconstructed it, the error was avoid.The experiment to reconstruct the spectrum of monochromatic light source such as Helium lamp used in the developed prototype was carried out. The results agree with the nominal spectrum distibutions of the sources with the accuracy of 4nm.

介绍了Sagnac型干涉成像光谱仪基本原理，针对上述问题得到一套对采集得到的干涉图进行光谱重构的方法，通过对所采集干涉图进行消趋势项、切趾、相位校正、共轭对称化等步骤的处理，再进行重构，即可有效避免直接重构所带来的误差，使用所研制的原理样机对氦灯等单色光源进行光谱曲线重构实验，得到的光谱强度分布曲线与标称曲线基本吻合，光谱复原精度达到了4nm，具有较好的重构效果。

A length of straight line and a length of undamped sinusoid of 1/4 period replace the envelop as the response. By the new methods, calculation error is greatly reduced and system character analysis is completed with advantage.

新方法使取代曲线由包络线改为与响应曲线非常接近的一段直线和一段1／4周期的不衰减正弦曲线，从而使计算误差大大减小，这将有益于提高系统性能分析的质量。

Based on the modeling theory of the equivalent probability density error model(marked as "Tepdem") and the numerical algorithm,this paper provides an approach on how to ascertain a point location with the highest coordinates precision between both of the adjacent characteristic points on a generic curve accurately by use of the theory of function extremum as well as the iterative algorithm,and it also provides the method on how to obtain the least width of "Tepdem" exactly,from which,the explanation of geom...

基于等概率密度误差模型建模原理和数值算法，运用函数极值理论和迭代方法来求解平面一般曲线上两相邻特征点间位置精度最高的点，以精确确定误差模型的最小带宽，从理论上给出等概率密度误差模型的几何特征，从而进一步完善矢量GIS的位置不确定性理论。通过实例计算与可视化分析，验证了理论推导的正确性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐