第三维

Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

Asynchronous loading of control parameters · Rapid (25ns per pixel) rotation, warping, panning, and scaling of images · Three-dimensional image addressing capability · General third-order polynomial transformations in two dimensions on-chip · Three-dimensional transformation of up to order 1.5 also supported · Flexible, user-congurable pixel datapath timing structure · Static convolutional ltering of up to 16 x 16 Pixel, 256 x 256 pixel or 256 x 256 x 256 pixel windows · User-selectable source image subpixel resolution of 2-8 to 2-16 · Pin-compatible upgrade to TMC2302 · 24-bit (optional 36-bit) positioning precision within the source image space, 48-bit internal precision · Low power CMOS process · Available in a 120-pin Plastic Pin Grid Array and 120-lead Metric Quad Flat Pack

1第1页，本页显示记录1-11，共11条记录分1页显示·异步控制参数加载·快速（25ns的每个像素）旋转，弯曲，平移，缩放和图像·三维图像处理能力·一般二维三阶多项式变换片·三高达1.5三维变换命令也支持·灵活，用户可配置的数据通道的静态时序结构·高达16 × 16像素滤波卷积像素，256 × 256像素或256 × 256 × 256像素（3通）窗口·用户可选的源图像亚像素分辨率的2-8 2-16·引脚兼容的升级TMC2302·24位（可选36位）的定位源图像的空间内，48位内部高精度·低功耗CMOS精密加工·提供120引脚塑料针栅阵列和120引脚公制四方扁平封装

Because we mainly involve visual fields of medical science , have placed more contents on the development in the field of medical image of visual technology and argumentation used. Second part It is the visual technology knowledge, the generalization in such respects as the basic principle , basic functions, function store and three-dimensional animation technology to OpenGL ,etc. The realization of the system using OpenGL functions finish that three-dimension demonstration. The third part It is number value that calculate knowledge, three-dimension rebuild technology is it is it is it punish to fit to go on to need, the research of interpolator technology that cant leave, So this part has quoted the Hermite function principle , define cubic Hermite function to begin, calculate the differential coefficient among them draws cubic spline again.

由于我们主要是涉及医学可视化领域，所以将更多的内容放在了可视化技术在医学影像领域的发展与应用的论述；第二部分是可视化技术方面的知识，主要对 OpenGL 的基本原理、基本功能、函数库及三维动画技术等方面的概括，在系统实现时就是通过调用 OpenGL 函数库实现三维显示的；第三部分是数值计算方面的知识，三维重建技术需要进行拟合处理，离不开插值技术的研究，所以这一部分从埃尔米特函数原理开始讨论，引入三次埃尔米特函数，进一步计算时又引用三次样条函数。

Finishing in 3rd Place in the Men's Division was Gary Neal of Spartanburg, SC In 4th Place was Rusty Jackson III of Allensville, Ky. Tying for 5th Place in the Men's Division is Brian Belobradic of Whitby, Ontario, Canada and Eddie Little of Salisbury, NC Defending champion Michell Monk of Palm Bay, Fla. rounded out the top finishers in the Women's Division with a 3rd Place finish.

整理在第三位，在男性的分工是加里奥尼尔的斯帕坦堡，资深大律师在第四位，是生锈的杰克逊的第三艾伦斯维尔，肯塔基州并列第五位，在男性的分工是布赖恩belobradic的惠特， Ontario ，加拿大和埃迪小梳士巴利，数控卫冕冠军michell和尚棕榈湾，佛罗里达州的整数列顶端的优质买家询盘，在妇女的分工与第三的成绩。

The sample comprised 25 patients with the first premolar removed during orthodontic treatment. Digital models and lateral cephalometric records were taken pre- and post- treatment. We chose two kinds of regional superimposition methods on the digital models (One was the mesial zone of the third primary ruga and regional palatal vault, the other was the palate) and Baumrind's best-fit for cephalometric superimposition. The amounts of incisor and molar movement were measured and a comparative study was performed.

三。选择25例拔除上颌第一双尖牙正畸患者治疗前、后的上颌模型进行三维重建，分别使用第三腭皱近心端局部腭穹隆和腭部对同一患者治疗前、后的数字化模型进行局域重叠，以治疗前后头颅侧位片的 best-fit重叠为评价标准，比较三种方法之间的差异，对应用三维数字化牙颌模型纵向重叠评价正畸治疗前、后的牙齿移动进行探索性研究。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章，给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间，利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性，给出了准确解与边界元解的误差表达式，还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性，为三维弹塑性摩擦接触边界元法奠定数学基础。

We can say , it is exactly success of designing program because of the trinary cublic interpolator technology, just really realize the three-dimension reconstruction technology, comparatively demonstrate three-dimensional information perfectly and trully. The fourth part systematic design and course of realizing, content include programming language platform that system's designing spend, face the choice of program language, list some functions of class and combine brief illustration.

可以说，正是由于三三次插值技术程序设计的成功，才真正实现了三维重建技术，较为完美和真实地显示出三维信息；第四部分是系统的设计与实现过程，内容包括系统设计所用的程序设计语言平台，面向对象语言的选择，列出一些类的函数并简要说明。

In Chapter 4, the Thwaites＇s method for 2-D laminar boundary layer and the Truckenbrodt＇s method for 2-D turbulent boundary layer are developed to solve the"quasi-3-D"equations for the 3-D boundary layers on rotating helical blades, and a integral method, which can be solved by iteration, is resulted.

在第4章中，计算二维层流边界层的Thwaites方法和计算二维湍流边界层的Truckenbrodt方法被推广用以解关于旋转螺旋面上三维边界层的&准三维&方程，得到一种可迭代求解的积分方法。

In the second chapter, it analysies and comments on the synopsis and the critical paragraphs in each act of the opera; and then explores the origin of the libretto with reference to the literary source , the sources of the story and that of the main characters in the third chapter. Coming next, it examines the opera's three characters Marschallin, Ochs and Octavian in the fourth chapter.

第一章阐述了《玫瑰骑士》的创作背景与创作过程；第二章以幕次为顺序，对该剧的剧情梗概和重要的音乐段落进行结构性分析与评价；第三章从脚本的文学来源、故事来源、人物造型来源三方面为歌剧脚本溯源；第四章对剧中三个主要人物玛莎琳、奥克斯、奥克塔维安进行性格分析；第五章从该剧体裁的融合性、风格影射问题、结构特色和主导动机、配器等方面详细分析了该剧的音乐/戏剧特色。

Chapter four analyses the model that executed in chapter two and chapter three, and sets up the mature reseau analysis method of random convex polyhedral aggregate model of 2d and 3d.

第四章主要对第二章和第三章建立的模型进行有限元剖分工作，建立了一套成熟的二维、三维混凝土随机骨料模型的网格剖分方法。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。