几何化

The auxiliary technologies for hexahedral mesh generation are studied thoroughly in this article. The technologies mainly cover the parametric description of three-dimensional geometric solid boundary, the controlling of mesh precision by imposing maximum geometric discretization error, the topology analysis of mesh, the optimization of node labeling and the display of mesh with removed hidden lines.

对六面体网格生成的辅助技术进行了较深入的研究，其中主要讨论了三维空间几何实体边界的参数化描述、利用最大几何离散误差来控制网格的离散精度、在对网格的拓扑关系进行正确分析的基础上提出改进的节点编号优化算法以及快速的网格消影显示等技术。

The standard applied modes of geometric flatness in new GPS(geometrical product specification),including the duality principle and common operation technology in new GPS system,and the expression,algorithm,data processing issues of the theoretical,specification and verification model,were investigated.

研究了新一代GPS中几何平面度标准的应用模式，包括新一代GPS体系的对偶性及共性操作技术以及公称、规范和验证模型的表示、算法和数据处理。开发了试验性软件系统，通过可视化方法表示了它们的关系，实现了GPS几何平面度标准在烟机零件中的具体应用。为进一步应用新一代GPS标准以及规范表达产品的设计、制造、检验所要求的统一公差信息提供了较好的借鉴

Constrained triangulation plays an important part in finite element analysis and information visualization,also it is a hotspot problem of computational geometry and computer aided geometric design.

约束三角剖分在有限元分析和信息可视化等工程领域具有重要的应用背景，同时是计算几何和计算机辅助几何设计的一个热点问题。

The main jobs of this paper are as followed: 1 The reuse of the frame design technology for aircraft assembly fixtures is researched. a frame line part library is built with the templet driven technology, the reuse of the frame line part come true by the tools for instantiation and instance modification. The design resources are effectively used, some repeating work is cut. 2 Two methods to obtain the assembly feature are proposed: the straight way by the Enumeration method and the indirect way by project features to the assembly plane. All of the assembly features of the frame and the adjustable bearings are obtained by these two methods which makes the frame automatic assembly technology for aircraft assembly fixtures come true. 3 The frame automatic assembly technology aircraft assembly fixtures based on assembly features is researched. A binary tree assembly model is used to express the assembly information of the frame for aircraft assembly fixtures, the automatic assembly between the frame, the aircraft and the adjustable bearing is completed within the three steps: distribute, obtain and evaluate assembly feature. Finally, the efficiency of the frame assembly design is proved. 4The frame interpart modeling technology for aircraft assembly fixtures is researched, the intersection methods are concluded and the arithmetic of the single-cut, double-cut and inter-cut intersection is proposed, the interpart fast modeling of the frame design for aircraft assembly fixture come true. 5Based on the researches mentioned before, a sub-system of frame fast design for aircraft assembly fixture is developed on CATIA. The sub-system is used to design the aircraft assembly fixtures in a large aeronautics corporation and make a good- effect.

论文的主要工作如下： 1研究了飞机装配型架骨架设计重用技术，在总结归纳骨架线框结构类型的基础上，应用模板驱动的方法建立了骨架线框库，通过骨架线框零件的实例化和离线编辑实现骨架线框的重用，有效利用设计资源，减少重复劳动； 2提出穷举几何对象的装配特征直接获取方法，遍历零件模型的几何对象，从中捕捉所需装配特征，该方法简捷、高效；提出向装配面投影的装配特征间接获取方法，该方法在现有特征基础上生成装配特征，解决了部分装配特征难以直接获取的问题； 3研究了基于装配特征的飞机装配型架骨架自动装配技术，采用一种二叉树装配模型表达骨架的装配关系，并通过装配特征的分配、获取和赋值三个步骤，实现了骨架分别与飞机产品和可调支承的自动装配，避免了繁琐的人工交互操作，提高了骨架设计的效率和规范化程度； 4研究了飞机装配型架骨架零件间建模技术，在总结归纳骨架元件相贯处理方式的基础上，提出了骨架元件单剪切相贯、双剪切相贯和互剪切相贯的实现算法，简化了骨架相贯处理的过程； 5基于以上研究，在CATIA平台上开发了飞机装配型架骨架快速设计子系统，并应用于某大型航空企业的装配型架设计，提高了设计效率和设计质量。

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分，目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等；在人脸特征提取部分，可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征，另外也可以借助于数学变换，求取人脸图像的一些代数特征，如对图像进行奇异值分解，以奇异值代表图象的特征，或对图像进行K-L变换，以图像在构造的特征空间上的投影系数作为图像的特征等；在识别部分，可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度，还可以通过神经网络方法进行人脸的识别。

First, this thesis introduces basic theory of CBR , and studies many aspects of typical part design case , such as case representation, case retrieval, retain etc. Second, regards design code as case code in order to integrate the case with geometrical and non- geometrical information, and realizes the parametric modifying function for 3D solid model in the condition of Pro/E. Third, for the purpose of making true of system's aided design requirement, this thesis brings forward to create part design knowledge base with AI language CLIPS, and integrates the rule based KB into the system; finally, collects and summarizes the knowledge of shaft,gear,sleave, and a sample with ladder—shaft is shown in order to verify the correction of theory research.

首先，本文介绍CBR技术的基础理论，并重点研究典型零件案例的表示、检索、修改等功能；其次，以零件设计编号为案例编号实现对案例的几何与非几何信息的集成，并实现了三维实体模型在Pro／E环境下的参数化修改功能；再次，从系统辅助设计功能要求出发，提出将基于规则的知识库嵌入到系统内部，用人工智能语言CLIPS建立零件设计知识库；最后，对轴类、齿轮类、盘套类零件案例知识进行收集、总结，并通过阶梯轴设计实例验证了理论研究的正确性。

In this thesis, several problems of time-dependent systems in various branches of physics are investigated by making use of the generalized invariant theory and the invariant-related unitary transformation formulation. The problems are given as follows:(1) Spin model and geometric phase factor in the fiber We investigate the fiber experiment performed by Chiao-Tomita and the Chiao-Wu theory concerning the geometric phase factor in the optical fiber, and then show that the investigation of the propagation of photons inside the noncoplanar optical fiber can be regarded as that of a second-quantization spin model.

本论文用推广的不变量理论和与不变量有关的幺正变换方法研究了一些物理分支中的几个含时系统问题：(1)自旋模型与光纤中光子几何相因子问题重新考察了Chiao-Tomita光纤实验和Chiao-Wu关于光纤中光子几何相因子的理论，证明了在非共面弯曲光纤中传播的光子运动问题实际上可以化为二次量子化含时自旋模型研究。

For various kinds of surfaces used in S_SOLID, a new surface/surface intersection algorithm is presented which adopts analytical, numerical, geometrical, subdivisional, and implicitizational methods.

针对S_SOLID系统中采用的各种几何表面，设计了一种解析、数值、几何、分割和隐函化相结合的曲线曲面求交算法。

The main content reads as follows: Chapter 1 gives a survey on the three methods by which regular geometric modeling can be rended, including parametric curves/surfaces modeling method, algebraic curves/surfaces modeling method and subdivision. Moreover we introduce in greater detail about two means for subdivision which fit into two class: geometric subdivision and algebraic subdivision.

全文主要内容如下：第一章首先对CAGD中构造&规则几何形体&的三类造型方法：参数曲线、曲面造型方法，代数曲线、曲面造型方法及细分法——曲线、曲面的离散化造型方法，作了较系统的综述，并对两类主要的细分法——几何方法与代数方法，作了较详细的介绍。

The typified programming technique for numerical control, described in this paper, is established on the basis of characteristic analysis of geometric configurations and dimensions of any two-dimensional patterns.

本文提出的数控编程典型化技术，是在对任意二维空间图形的几何形状及几何量进行特征分析的基础上建立起来的。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐