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In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

Those included Basis Capitalin Australia, vehicles run by Cheyne Capital and Cambridge Placein London, and Braddock Financialand United Capital in the US.

其中包括澳大利亚 Basis Capital ，伦敦 Cheyne Capital 和 Cambridge Place 旗下的基金，以及美国的 Braddock Financial 和 United Capital 。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

This thesis focuses on surface reconstruction from point cloud model, and have discussed and extended three common methods: Moving Least Squares method, Radial Basis Functions method and Multi-level Partition of Unity method.

本文以点云模型曲面重构为研究对象，研究并扩展了三种常用曲面重构方法：最小移动二乘法(MLS：Moving Least Squares Method)法，径向基函数(RBF：Radial Basis Functions method)法和多层次单元分割(MPU：Multi-level Partition ofUnity method)法。

The study establishes the compression of models and algorithms for vector graphics data on different basis, including on the basis of vector graphic factors of B spline curves in predecessors research; on the basis of rectangle graphic factors in main axis mode; on the basis of the application of Hough transform to polygonal line, ellipse and circle, so the study improves the models and algorithms of compression for vector graphic data.The compression for vector graphic data mainly studies the data of storing graphic factors.

本文研究的内容是：根据对以往各种曲线矢量数据压缩模型与算法的研究，建立了基于B样条的曲线矢量图形要素的数据压缩模型和算法；在前人研究的基础上，建立基于主轴模式的矩形图形要素的数据压缩模型和算法；本文作者将Hough变换应用到折线、圆及椭圆图形要素的矢量数据压缩上，在此基础上改进了基于Hough变换的折线、圆及椭圆图形要素的数据压缩模型和算法。

An original basis is constructed on the space in this paper. This basis has the similar properties to Bézier basis of the endpoint and interpolation. Then H-Bézier basis is defined based on the space, also the formula of recursion is given when. Next the properties are discussed.

该文从上构造一组初始基，该基具有类似Bézier基的端点性和插值性，在此基础上定义空间上的H-Bézier基函数并给出了的递推公式，讨论了该基所具有的性质。

An Ellipsoidal Basis Function can make the partition of input space and make a limitary and bounded.

椭球基函数（Ellipsoidal Basis Function，EBF）使网络划分输入空间成为封闭有界的局部作用的空间，与径向基函数（Radial Basis Function，RBF）神经网络的高斯函数相比，它对空间的划分更明确。

For the sake of the realization through to limit death penalty, and providing for enough of basis of theories that to limit the death penalty, discussing the basis of humanity, the basis of economy, and the basis of purpose and function at penalty, the basis of criminal policy. Explanted the meaning of humanity and how to performance on the death penalty.

为从理论上就死刑的犯罪主体限制提供充分的依据，就死刑的犯罪主体限制的人道性依据、谦抑性依据、刑罚的目的和功能依据及刑事政策依据展开论述。

On the geometric modeling, flat surface and curved surface are used to mesh and describe the model;on the electromagnetic modeling. Different basis functions( flat surface roof-top basis function, flat surface RWG basis function, curved surface roof-top basis function, curved surface RWG basis function) and different test functions (line-matching, Galerkin method) are applied to different cells(plat rectangle facet, triangular patch, Bezier patch, parametric surface, curved triangular patch etc.).

在几何建模方面，分别采用平面元和曲面元对模型进行了剖分和拟合；在电磁建模方面，针对不同的单元(平面元、平面三角元，、Bezier元、参数曲面、曲面三角元等)采用不同的基函数(平面roof-top基，平面RWG基，曲面roof-top基，曲面RWG基)和不同的检验函数进行处理。

It goes back to what I told you...

现在回到我告诉过你的。。。

With a supporter in Mr Charest and an admirer in Mr Dumont, Mr Harper may be encouraged to call an election himself.

由于在沙雷那边有个支持者，杜蒙那边有个崇拜者，鼓励哈珀为自己举行一次选举。