曲线拟合

The measuring data after pre-processing was fitted with NURBS curve with constructing the non-uniform node vector using the method of cumulating chord length and optimizing the rights of NURBS curve restrictively. The formula of surface skinning which can be realized by programming was proposed on the basis of the foundation formulas in existence, then NURBS curves was skinned to gain the corresponding NURBS surface.

对经过预处理后的测量点数据，通过采用累积弦长法构造非均匀节点矢量和对权因子的约束优化，进行测量点数据的NURBS 曲线拟合，在现有基本公式的基础上推导出了可以编程实现的曲面放样公式，对得到的NURBS 曲线进行放样处理，最终得到了测量点数据的NURBS 曲面。

Simulation engineering stress-strain curve and experiment engineering stress-strain curve fit very well.

试验的工程应力-应变曲线与模拟的工程应力-应变曲线拟合的很好。

The calibration curve of the SM2-Kit with standard SM2 inhibitor was typical sigmoid curve fitted to the four parameter logistic equation with the linear detection of 0.625 μg/L to 80.0 μg/L (R2=0.9911), the sensitivity of 0.9 μg/L, the IC50 of 5.82 μg/L and the detection limit of 1 μg/L. The recoveries of SM2 spiked in pig feed were 83.4 %, in pig urine were 89.5 %. The precision and accuracy of the assay as determined by inter-assay and intra-assay coefficient variation was both below 15 %. The SM2-Kit generally had 2.08 % cross-reactivity towards sulfamerazine and little or no cross-reactivity towards other sulfonamides. The dilution solution of SM2 had no effect on results of SM2-Kit. The validity of SM2-Kit in 4 ℃ was above six months.

研究结果表明，SM2-Kit的标准曲线呈典型的S型，相关系数R2=0.9911，符合4参数logit曲线拟合，线性检测范围为0.625 μg/L～80 μg/L，灵敏度为0.9 μg/L，半数抑制浓度(IC50)为5.82 μg/L，检测限为1 μg/L；饲料样、猪尿样的平均添加回收率分别为83.4 %、89.5 %，平均批内和批间变异系数均低于15 %；SM2-Kit与磺胺甲基嘧啶的交叉反应率为2.08 %，与其它磺胺类药几乎没有反应性；基质对SM2-Kit的检测结果影响不大；试剂盒在4 ℃可保存6个月。

We solve the problem that the meridional curve transcendental equation cannot solve by Matlab, and discuss the influence of two curves for different grating constants and different incidence angles.

用Matlab软件解决了子午聚焦曲线超越方程无法解的困难；讨论了不同光栅常数和入射角度时对两聚焦曲线拟合程度的影响。

The major achievement of this paper is: Based on characteristics of the traffic data distribution, execute pattern recognition operations on traffic condition on two dimensions by clustering, then use BP neural network to describe and forecast traffic flow aiming at each pattern. Making use of classic flow-occupancy inverse "V" model, implement polynomial fitting using least-squares algorithm and statistics method on flow curves to detect outliers which are proved to be not accord with practice through the actual implement, then use the moving average model to recorrect the outliers and absent. Make correlation analysis on muti-direction flow queues of the intersection and ones of upriver intersections, choose flow queue with high correlation as assistant one to improve the error tolerance of the prediction system, at the same time we can use the method to give an estimation of flow in intersection with out sensors. We design and implement an SOA(Service-Oriented Architecture)-based UTDD(urban traffic data mining development) with high expansibility and performance, which implement unified management and call of the data-mining application though defining a XML-based description of data-mining process and a common interface to call data-mining process, finally we build traffic flow prediction application model on UTDD.

根据交通流量数据分布的特征，提出基于k-means的二次聚类方法，对交通流量在流量大小和时间上进行模式划分，进而对各个交通流模式进行基于BP神经网络的描述和预测，从而提高模型对流量预测的精度； 2）根据流量/时间占有率倒&V&字形曲线分布模型，提出基于最小二乘法的三次多项式曲线拟合和统计方法的异常检测方法，实际应用表明该方法能够有效识别异常数据，然后根据移动平均算法对异常数据进行修正； 3）基于序列相关性分析，分别对预测方向的交通流量数据序列、上游路口相关序列以及预测路口其它各个方向上的交通流量序列进行分析，选择相似性流量序列，作为辅助序列提供其他没有检测器路口的流量估计； 4）设计和实现了基于SOA（Service-Oriented Achitecture）的高性能、可扩展的智能交通数据挖掘系统UTDD，该系统通过定义基于XML的数据挖掘过程描述和通用的过程模型接口，实现数据挖掘应用的统一管理和调用，最后在UTDD上建立了基于路口流量预测的应用模型。

After that the contour is produced by curve fitting and the curvature of every point of the contour is calculated.

然后，用曲线拟合轮廓线，并计算曲线上各点的曲率。

The contour curve is obtained with Sobel operator, and thus the angel of the contour curve of needlepoint image can be computed.

通过Sobel算子和曲线拟合得到输液针图象的轮廓曲线，并进一步计算出输液针图象的外轮廓角度。

Based on the previous results, the method to derive creep constructive model from the indoor experiment data is studied, and these study works are also finished: the reasonable method to determine instance elasto-plastic deformation according to experiment curve, the optimization method to perform curve fitting based on experiment data, the universal method to derive creep constructive model from experiment results.

4在已有研究成果的基础上，对从室内试验数据成果导出流变本构模型的方法进行探讨，研究从室内流变试验曲线上确定瞬时弹塑性变形的合理方法，以及对流变试验数据进行曲线拟合的最优化方法，探讨由室内试验数据成果导出流变本构模型的一般性方法。

As for the difficulty to determine the point of maximum slope of the transition curve and the bug of using little information of the system, a PID parameters tuning method is presented in this paper based on multinomial fitting of the models transition curve.

针对实际中常用的飞升曲线法难以确定最大斜率处和利用系统信息较少的不足，提出了一种基于曲线拟合的PID控制器参数整定方法。

Based on the tomato and eggplant supply data of Shanghai in sequence of year, using meteorological data in SAMR(The data management system of Shanghai Agricultural Meteorology Report) and screening the meteorological factors related to the vagetable output, the authors carried out curve fitting and estimation of related parameters of distribution function.

Gompertz曲线和对数正态分布函数(Logarithmic normal distribution function)作为这二种蔬菜上市趋势的数学模型，进行曲线拟合，先调用上海市农业科学院测试中心的SAMR农业气象资料数据库所存贮的气象数据，筛选与该蔬菜产量有密切相关的气象因子，再用多元回归方法对初选因子作进一步的筛选，从而估计出分布函数的有关参数。

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