参数曲线

Carried out generalized Mises yield criterion , yield curve on the n flat face was circle curve, and different elected parameters correspond to external angular point circumcircle、 internal angular point circumcircle and incircle of Mohr-Coulomb unequiangular hexagon. According to unequiangular hexagon, circle yield curve which had the same area as hexagon can be found, and corresponding yield criterionwas equilateral circle yield curve.

3广义米赛斯准则在π平面上的屈服曲线为圆曲线，选择的参数不同对应有莫尔—库仑不等角六边形的外角点外接圆，内角点外接圆和内切圆，对于不等角六边形，还可以找到一个面积和六边形相等的圆屈服曲线，对应的屈服准则为等面圆屈服曲线。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型，该模型由连接体线骨架与某种卷积核卷积而成，整个曲面是一张连续曲面，调节多项式和半径参数可以让人体任意变形；给出了正交投影下卷积曲面和曲线对应的概念和相关定理，为二维的图像轮廓和三维人体模型之间建立对应关系；根据正交投影下卷积曲面与曲线对应定理，用卷积曲线去逼近人体的图像轮廓曲线，从而估计和恢复出三维人体运动姿态。

A new curvature-based algorithm in free-form curve fitting was proposed to fit a 2D NURBS profile with an arc spline ,where a new form of curvature formula with matrix representation was also proposed,and then the arc spline tool path with G~(1) continuity was generated.

给出了一种平面曲线轮廓的圆弧样条拟合及刀具路径生成算法，该算法面向零件轮廓的光顺性刀具路径生成，通过应用曲线的曲率关系，对以NURBS表示的被拟合自由曲线按参数递增的方向用G1连续的圆弧或直线段逐段拟合，并生成相应的圆弧样条刀具路径，从而实现零件曲线轮廓表面的光顺加工。

This article first introduces the math foundation required by ECC,including the addition rule for elliptic curve point defined over finite field.Then , the principle of ECC is discussed and its security and efficiency of ECC are analyzed.Third, a cryptosystem is designed through analyzing the security requiration, choosing the elliptic curve domain parameters,denoting field element,elliptic curve and elliptic curve point,choosing associate primitves and schemes andpartitioning functional module.Forth, how to develop a crytosystem based on elliptic curve encryption algorithm is investigated.Fifth, a cryptosystem we have developed by us and the testing result is described.

本文首先介绍了ECC的数学基础，对有限域上椭圆曲线点的运算规则进行了详细描述；其次探讨了ECC的原理，分析了ECC的安全性和有效性；第三，设计了一个基于ECC的加密系统，包括系统的安全需求分析，域参数选择，域元、椭圆曲线、点的表示，原语和方案的选择，及整个系统的模块功能划分；第四，在设计的基础上，研究如何开发一个基于椭圆曲线的加密系统；第五，描述了一个我们已经设计与开发的基于椭圆曲线的加密系统，并给出了相应的测试结果。

But one major weakness of the empirical ROC curve estimator is its jagged form, since the true ROC curve is a smooth function.

在ROC 曲线的各种非参数估计中，经验ROC 曲线是最常用的方法，但经验ROC 曲线的函数值是跳跃的，往往与真实ROC 曲线的光滑性不符。

A general conic curve fitting is achieved with the standard conic curve parameters and translation matrix parameters and rotation matrix parameters.

推导了基于圆锥曲线标准表达形式参数，平移矩阵参数和旋转矩阵参数进行圆锥曲线特征拟合的理论。

On system set point, we knew that raw turbidly and flow rate had remarkable effect.

通过对透光脉动检测曲线的解析，研究了检测曲线特征参数的影响因素并分析了特征参数与沉后水余浊的相关性。

At present, all the P-Y curve methods recommended by the referring code demand using geotechnic parameters C_u (three-axle undrained shear strength) and ε_50(the strain value that is equal to a half of the difference stress in the undrained triaxial compressing test). Moreover, we must do the complex and expensive triaxial geotechnic experiment to get those two geotechnic parameters, so they restrain the P-Y curve method from using comprehensively.

但目前国内外有关规范推荐的P-Y曲线均需用到土工参数C_u和ε_(50)(三轴不排水压缩试验中最大主应力差一半时的应变值)，而获得这两个参数需要进行比较复杂且费用较高的土工三轴试验，限制了P-Y曲线法的广泛应用。

So the model is improved after the optimization which is based on the optimization and design module of ADAMS, and then the the rising-up simulate curve of the dry dock gate is close in upon rising-up experimental curve .

应用ADAMS软件建立了干船坞坞门的参数化仿真模型，并利用该模型对坞门的运动学和动力学进行了仿真，在此基础上应用ADAMS优化分析模块优化了固定浮舱容积和操作浮舱容积等参数，改进了原有模型，使其仿真曲线更接近实验曲线。

After analyzing of the reason of large deformation,the parametric cubic spline interpolation method was used for x, y, z respectively on Warps and wefts with accumulative bowstring length as parameter to fit the surface of mannequin.

分析了造成上述问题的曲线大挠度原因后，运用参数三次样条插值方法，采用累加玄长为参数，分别对人台经纬曲线的x、y、z进行插值计算，并拟合人台曲面。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。