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A novel design scheme for digital optical switch with high extinction ratio by employing S curve waveguide at the end of the Y branch ii proposed. Higher extinction ratio then that of the device without S curve waveguide is obtained by applying certain synchronous voltage to tie Y branch and the curve electrode of tie S curve waveguide.

文章提出一种关于非对称电极低串扰数字光开关的新型设计方案，在Y分叉后端引入S弯曲波导，通过在Y分叉处的非对称电极和弯曲波导的弯曲电极处施加一定的同步电压，实现了比没有S弯曲的开关更低的串扰。

Curve C at the spot P(x0, y0) curvature is the maximal circle of the curve C tangency at the spot P(x0, y0). Contrail curve G of the center D of curvature circle entitles evolute of curve C.

曲线C在点Px0，y0）曲率圆是与该曲线C相切于点P(x0，y0的最大圆，曲率圆的圆心D的轨迹曲线G称为曲线C的渐屈线。

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。

First, the relative curvature of a certain curve at its first end and the directional angle of the first port tangent vector of that curve as well as the weight factor of the interpolation curve are given, then all the other control vertexes can be gotten by using the conditions of G continuity, and a method to construct transitional curves is also introduced so that we can get the closed interpolation curve which achieves G continuity globally.

首先给定某段曲线的首端相对曲率和该段曲线的首端切矢量的方向角以及插值曲线的权因子，然后利用G2连续条件求出其余控制顶点，并给出了构造过渡曲线的方法，得到了G2连续的闭插值曲线。

The properties of the new method are that (1) the equations that the quartic Bézier curve has to satisfy for being C 2 continuous are strictly row diagonally dominant;(2) the discontinuous points of the curve are at the given data points;(3) the curve is locally adjustable;(4) if the given data points are convex, the constructed quartic Bézier curve is convex.

用样条函数方法构造插值样条曲线曲面，曲线曲面的精度和形状是由给定的数据点和端点条件唯一确定的。在有些情况下，例如，对文献 [7～ 9]中的数据点集，由样条函数方法构造的C2 插值曲线是不可接受的，但由于没有额外自由度，无法调整曲线的形状。

A method of construct a quadratic uniform B-spline curve through data points is given.If the relative curvature of a certain curve on the first control point and the direction angle of the first port's tangent vector is given,here can get the whole curve by using the character of the port of quadratic uniform B-spline curve.

提出了一种二次均匀B样条插值曲线的构造方法，首先给定某一段曲线首点的相对曲率和该段曲线的首端切矢量的方向角，利用二次均匀B样条曲线的端点性质，求出其余各段曲线控制顶点，来生成整条插值曲线。

Basing on the 3D image data compression and in accordance with the structure characteristics of 3DLCS scanning data that the scanning data set of 3D surface can be considered as a curve set in 3D space, the thesis extends 2D curve Splitting compressing method to the 3D space and presents a 3D curve compressing method based on the curve compression and the color information compression. The 3D compressing effect is better.

在三维图像数据压缩方面，根据3DLCS的扫描数据结构特点（即可以将三维表面扫描数据集看作一个空间曲线的集合），将平面曲线压缩中的Splitting方法推广到三维情形，提出了一种基于曲线压缩和彩色信息压缩的三维数据压缩方法，取得了较好的压缩效果。

The main task of this article contains:compares algorithm and encryption and decryption between the widely-used public key encryption system RSA and ECC;(2) directing against present elliptic curve attack algorithm, uses SEA algorithm to perform choosing of safe elliptic curve and to achieve based on prime field elliptic curve"s ELGamal encryption and decryption and digital signature;(3) discusses elliptic curve"s application on smart card and proposes two identification plans based on EEC.

2针对目前已有的椭圆曲线攻击算法，使用SEA算法实现了安全椭圆曲线的选取，实现了基于大素数域上的椭圆曲线的ELGamal加解密和数字签名。(3)讨论了椭圆曲线在智能卡上的应用，并提出了两种基于ECC的身份认证方案。

For this purposewe need to develop some new methods and new techniques.For example we studythe properties of the"centroid curve"and the"auxiliary curve",and identify twoplanes in which these two curves are defined respectively;we also use the relationshipbetween the"centroid curve"and its"dual curve".

为此需要发展一些新技巧和新方法，例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一个坐标系中考虑，或把"质心曲线"与其"对偶曲线"联系起来考虑。

Study on geometry theory and engagement characteristics of scroll profiles Aiming as the limitations of scroll profiles in existence, the whole characteristics and local characteristics of plane curve instinct equation were studied. Analyzed the equidistant curve of envelope principle, normal equidistant curve creating method and envelope equidistant curve creating method were gained.

针对现有表征方式的局限性和不足之处，从微分几何角度出发，研究了平面曲线固有方程的局部特性和整体特性，分析了通用涡旋型线等距曲线和包络原理，得到了法向等距曲线生成及包络法等距曲线生成方法，推导了通用涡旋型线的坐标变换方法，得到了通用涡旋型线的平面啮合理论。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。