拟合曲线

An optical system with refraction and total internal reflection was proposed according to the luminous characteristic of LED and the law of energy conservation. The ordinary differential equations satisfying the spots on the contour curve of TIR refractive and reflective planes were established. The coordinates of points on profile curves were obtained by solving these ordinary differential equations using Runge-Kutta method. The profile curves were acquired by curve fitting of the coordinate spots with software UG, and then TIR model of the projector and data of the surface shape suitable for NC manufacture were obtained.

根据LED的发光特性以及能量守恒定律选择采用折射全反射光学系统，通过建立TIR折射面及全反射面轮廓曲线上的点所满足的常微分方程，利用RungeKutta求解常微分方程得到轮廓曲线上点的坐标，再在UG中对坐标点进行曲线拟合得到轮廓曲线，进而得到TIR模型及适合数控加工的面形数据。

Aimed at the characteristic of multiple types of faults possibly happened in nuclear power plant, large scale of training sample, and requirement of quick and accurate diagnosing, after the analysis of large sample number generated by large fault type exceeds limitation of 64K paragraph in DOS and large number of local minmum in error surface, measurements of same format of data file, Win95/NT operating system platform, resetting weight learning rate, dynamic training set in quick learning algorithm and improvement on quick learning algorithm using homotopy method which can avoid local minmum points in error surface have been adopted to ensure quickly and effective process of the course of neural network's training and testing.

针对核动力装置可能发生的故障种类多，训练样本规模大，故障诊断需要快速准确的特点等，分析了样本多和故障种类多产生的训练样本量超出DOS段大小和网络误差曲面上局部极小值多的情况，采取了使用相同格式数据文件、Win95/NT操作系统平台，对快速学习算法采用重置神经网络权值学习率和动态训练集、并采用能够有效克服网络误差曲面上局部极小点的同伦方法对学习算法进行改进等措施保证神经网络训练测试过程的快速、有效地进行；针对装置发生的故障须快速、准确诊断的需要，分析了故障的产生对装置参数变化的影响及操纵员对故障诊断的基础，在核动力装置发生故障时参数曲线的变化量与正常运行时参数曲线的变化量存在明显差异的基础上，提出采用参数曲线的变化量作为神经网络的输入，并围绕参数变化量的方法采用二次曲线拟合滤波求变化量和阈值技术来保证神经网络得到精确的装置参数变化量，从而得到准确的诊断结果。

In order to assurance the maching accuracy and surface quality of steam turbine blades,based on typical CAD/CAM software Pro/Engineer 2.0,the flow diagram of parametric modeling and maching of turbine blades is drawn;The 3-D entity model of Steam Turbine Blade is upbuilt by parametric modeling method,and the fit-method with NURBS is extracted to smooth the curve surface,and the matrix expression of NURBS is deduced to make the surface more accurate;Then based on it's CAD model,the maching technology process...

为保证汽轮机叶片的加工精度和表面质量，以典型的CAD/CAM软件Pro /Engineer Widefire2.0中文版为基础，绘制了汽轮机叶片参数化设计加工的流程图；用参数化建模方法建立了叶片的三维实体模型，提出用NURBS曲线拟合方法进行光顺处理，并推导出NURBS的矩阵表达式便于截面型线的拟合，进而使叶片的造型更加精确；在CAD模型的基础上，分析了叶片的加工工艺流程，并用软件的CAM功能对叶片进行数控加工仿真，生成了NC代码。

In this dissertation, based on the systematically analysis of theory and application research on deformable model, a new B-spline active contour based on the finite element method is proposed; then B-spline active contour is applied to fitting the digital curve cross-sectional contour, and adaptive FEM is adopted to improve the precision; lastly the model is generalized to 3D, and a B-spline active surface model based on FEM is proposed.

本文在系统地分析了国内外关于可变形模型理论与应用研究的基础上，提出了一种基于有限元法的B样条主动轮廓模型；并将其应用于由断层图像导出的截面轮廓数字曲线的拟合，利用自适应有限元技术提高拟合精度；最后将其推广到三维，提出了基于有限元法的B样条主动曲面模型。

Its high-capacity and strong-acid-resistance were proved. In the acid condition, the adsorption efficiency to acide green 6B and direct fast yellow RL reached above 90%. Through the adsorption rate curve on adsorption behavior of the three dyes, they were all according with pseudo-secondary adsorption rate curve. The rate constant of adsorption increased with increasing temperature. Through the adsorption isotherm of the three dyes, acide green 6B and direct fast yellow RL were according with Langmuir equation, while disperse blue 56 was according with Freundlich equation. The adsorption behavior was an endothermic process. Entropy was increasing during the adsorption. So raising temperature was in favor of adsorption.

结果表明，甲醛环氧氯丙烷交联壳聚糖对染料具有较强的吸附性能和耐酸性能，在酸性条件下，对酸性绿6B和直接耐晒黄RL的吸附效率达90％以上；拟合甲醛环氧氯丙烷交联壳聚糖对三种染料的吸附速率曲线，发现该吸附行为符合拟二级吸附速率曲线，其吸附速率常数随温度的升高而增大；通过测定不同温度下甲醛环氧氯丙烷交联壳聚糖吸附三种染料的吸附等温线表明，甲醛环氧氯丙烷交联壳聚糖对酸性绿6B和直接耐晒黄RL的吸附符合Langmuir方程，而对分散蓝56的吸附符合Freundlich方程，甲醛环氧氯丙烷交联壳聚糖对染料的吸附是一个吸热过程，吸附后体系熵增加，升温有利于吸附。

Firstly, through applying Hilbert-Sobolev norm to measure fidelity term, a total variation filter is used to smooth the normal vectors of the level curves of a noise image. And then, a model is constructed to find a surface which fit smoothed normal vectors.

该方法首先引入负指数Hilbert- Sobolev范数度量逼近项，对图像水平曲线的法向量场进行全变差正则化磨光，然后构造出一个曲面拟合模型，拟合磨光后的流场。

Based on the data of Larch in eastern region of Daxinganling,the single entry volume table of Larch is established by using artificial neural networks and regression analysis.

采用大兴安岭东部落叶松Larch的材料，分别运用人工神经网络和回归分析方法编制了落叶松的一元材积表，人工神经网络在拟合过程中以落叶松胸径作为输入向量，以单株材积作为输出向量，并选出既符合林木材积曲线分布规律，又具有较高拟合准确度的网络模型，其网络结构为1∶2∶1，网络对象名为Enet。

The main results are:(1) The cumulate cause-effects model was demonstrated at both macro and micro level data. The problem of data fitting of hypertension prevalence data was solved well enough with the cumulate cause-effects model. The parameters of the model were meaningful for the practice.(2) Taking the hypertension developing speed as an indicator of health equality of hypertension between urban and rural residents in China and discovered the macro level determinants of it.(3) The causal network was testified by the structure equation model.(4) It is found that the major determinants of hypertension prevalence in China is population ageing, overweight, lifestyle changing due to high economic developing speed and the lagging behind of health education.

主要的研究成果有：(1)首次观测到我国高血压的患病率曲线符合累积风险效应模型，解决了高血压患病率资料数据拟合中长期存在的方法学问题，并对模型中参数的实际流行病学意义给出了合理的解释，能够对疾病的发病率进行间接的估计；(2)提出了用高血压的发展速度作为衡量我国城乡高血压造成的健康不平等的重要指标，解决了我国高血压患病率评价中长期存在的一些错误性认识，揭示了我国高血压城乡发展不平衡的宏观决定因素；(3)利用结构方程模型对构建的网络模型进行拟合分析，证明了模型的有效性；(4)揭示了目前影响我国高血压发展趋势的决定因素，主要包括人口老龄化趋势加剧、超重人口比例增加、经济的快速发展带来生活方式的转变和健康教育的相对滞后等几个方面。

A curve-fitting method in HDT and VICAT softening point measurement and a method for on-line parameter modifying were proposed.

通过试验和分析提出了在热变形温度与维卡软化点测定仪中应用温度曲线拟合的测定方法，介绍了拟合方程系数的在线修正方法。

In chapter 4, a new time correction method on leading edge fitting using Landau Distribution is introduced.

提出了一种采用Landau曲线对信号进行拟合，然后用拟合得到的信号幅度和形状参数进行时间修正的方法。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。