拓扑地

Human being can easily identify the road network from an aerial image by perceiving the bright-line net; the perceptual grouping is the core role in the procedure, in the local area where the occlusion exists, one focus his attention to identify the road by some contextual clues.

人能轻而易举地从小比例尺影像上整体性地感知到道路网，知觉的组织性发挥着重要的作用，这其中线条的几何与拓扑属性决定了大部分的连接感知。

It solves the problem that the unitary contour presentation can not correctly extract face contour in a face image which suffers from scale, rotation etc. The definition of the internal and external energy function is provided. At the same time, the global matching algorithm and local matching algorithm is given. The experiment shows that this presentation and the accompanying matching algorithm can be used to extract the face contour very well. So the image segmentation can be implemented by using it.②By analyzing the recognition principle of PCA method, we can conclude that the face images coming from different surrounding consist of different face image space. This is the essential reason that makes the generality of PCA method worse. Also, we give a measurement means to measure the distance from different face image space, so we can analyze face image space more conveniently.③We also construct various scale models and rotation pose models to detect the scale and rotating angle of face image to be recognized. The experiment results show that the detecting precision is very high. So it is good for face image feature extraction and face image representation.④Similarly, we construct local feature models of face image and utilize them to detect the local feature of face image. At the same time, we put forward a novel face image local feature detection algorithm, locating step by step. The experiment results show that this method can accurately detect the location of local face feature in a image.⑤A novel face image presentation model, dual attribute graph , is put forward. Firstly, it utilizes attribute graph to present the face image, then exact the local principal component coefficient and Gabor transform coefficient of thc pixels which corresponds to the nodes of the graph as the attribute of the nodes. This representation fully makes use of the statistical characteristic of the local face feature and utilizes Gabor transform to present the topographical structure of face image. So DAG has more general property.⑥Based on the DAG presentation, we give a DAG matching function and matching algorithm. During the design of the function and algorithm, the noise factor, e. g., lighting, scale and rotation pose are considered and tried to be eliminated. So the algorithm can give more general property.⑦A general face image recognition system is implemented. The experiment show the system can get better recognition performance under the noise surrounding of lighting, scale and rotation pose.

本文在上述研究的基础上，取得了如下主要研究成果：①构造了一个通用的人脸轮廓模型表示，解决了由于人脸图象尺度、旋转等因素而使得仅用单一轮廓表示无法正确提取人脸轮廓的问题，并给出了模型内、外能函数的定义，同时给出了模型的全局与局部匹配算法，实验表明，使用这种表示形式以及匹配算法，能够较好地提取人脸图象的轮廓，可实际用于人脸图象的分割；②深入分析了PCA方法的识别机制，得出不同成象条件下的人脸图象构成不同的人脸图象空间的结论，同时指出这也是造成PCA方法通用性较差的本质原因，并给出了不同人脸空间距离的一种度量方法，使用该度量方法能够直观地对人脸图象空间进行分析；③构造了各种尺度模板、旋转姿势模板以用于探测待识人脸图象的尺度、旋转角度，实验结果表明，探测精确度很高，从而有利于人脸图象特征提取，以及图象的有效表示；④构造了人脸图象的各局部特征模板，用于人脸图象局部特征的探测；同时提出了一种新的人脸图象局部特征探测法---逐步求精定位法，实验结果表明，使用这种方法能够精确地得到人脸图象各局部特征的位置；⑤提出了一种新的人脸图象表示法---双属性图表示法；利用属性图来表示人脸图象，并提取图节点对应图象位置的局部主成分特征系数以及Gabor变换系数作为图节点的属性，这种表示方法充分利用了人脸图象的局部特征的统计特性，并且使用Gabor变换来反映人脸图象的拓扑结构，从而使得双属性图表示法具有较强的通用性；⑥在双属性图表示的基础上，给出双属性图匹配函数及匹配算法，在函数及算法设计过程中，考虑并解决了光照、尺度、旋转姿势变化等因素对人脸图象识别的影响，使得匹配算法具有较强的通用性；⑦设计并实现了一个通用的人脸图象识别系统，实验结果表明，该系统在图象光照、尺度、旋转姿势情况下，得到了较好的识别效果。

In order to describe the topology relationship of an environment better, a geodesic distance is substituted for a Euclidean distance used in an ordinary Gaussian function and a policy iteration reinforcement learning method based on geodesic Gaussian basis function is proposed.

为更好地描述环境的拓扑关系，采用测地线距离来替换普通高斯函数中的欧氏距离，提出一种基于测地高斯基函数的策略迭代强化学习方法。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

Otherwise, the control flow estimate makes no difference among processes which are congruent under α conversion by labeling restricted names and variables with stable names in the syntax of Mobile Safe Ambients.

在Mobile Safe Ambients演算进程的拓扑结构抽象表示基础上，通过识别可被激活的移动原语和通讯原语，计算系统运行的所有动态进程拓扑结构，并在文法规则中显示地标识约束名字和变量，使分析结果在α变换下保持不变。

The above problems are studied in this thesis. First, the implicit NND scheme with mix flux splitting method proposed by Zhang Hanxin that is first order accurate in time and second order in space is modified. The modified scheme keeps the characteristics of fast convergence and is second order accurate both in time and space. It can be capable of simulating the unsteacly flow. Second, the topological method founded by Zhang Hanxin is improved to study the characteristics of vortex near the singular point on its axis and the cross streamlines on the longitudinal section passing the vortex axis. On the basis of topological results, a program which visualises numerical results is made out. It can help us analyse the characteristics of vortex motion.

本文对上述问题做了研究：第一，在数值模拟方面，借助于张涵信提出的NND算法和混合通量法，我们将他建立的时间为一阶、空间为二阶精度的快速隐式算法推广为时间和空间均为二阶精度的算法，这样做保留了原格式收敛快的特点，而且能适用于真实的非定常流态的计算；第二，将张涵信的拓扑分析方法加以推广，研究了涡轴附近及破裂点邻域内流场的空间特征，并以这些拓扑分析结果为指导，研制了一套显示计算结果的软件，这一软件能很好地帮助我们分析流场的计算结果和旋涡演变的特征。

When I'm satisfied with the general volume a shell modifier helps me to give thickness to the piece. In this phase, I don't usually bother that much about every single rivet, hole or cut, I just try to develop a good quad topology of the main volumes. Of course the topology is done by taking count of the main cuts and holes, but the rest can be done easily with a normal or bump map. It's up to you to decide how much a single detail is worth to be modeled or can it be put into a bump map. I usually adopt a "comfortable" criteria...it means that if something looks tricky to me to be carved or extruded into an existing geometry I usually put it into a normal map. When you make something for production, you don't usually have much time to model everything, so you need to set priorities.

当我对整个盔甲的体积感满意之后，一个shell修改器就可以帮我给整个盔甲添加厚度，在这个阶段，我通常不会考虑太多那些细小的铆钉，洞眼或者切边，我只是给整个的模型确立一个好的四边形拓扑结构，当然拓扑是通过重视主要的切割和打洞来形成的，但其余那些细小的部分可以用一个normal 或者bump贴图很容易地模拟出来，这由你来决定到底一个细节是值得建模还是放到一个bump贴图里面，我通常采用一个&舒服&的标准，也就是说，如果有什么东西对我来说，在已有模型上再挤出或者开洞是非常麻烦的，那么我就通过Normal贴图来表现，而当你为商业生产制作模型时，你通常都没有足够的时间来把任何东西都建出来，因此你需要设置重点。

Research on the 3D spatial data index system According to the topological construction and operation of 3D spatial data model, a compound index method is put forward, and effectively solved the problem of huge amount of data in 3D volume models which has directly brought difficulty to the various analysis in geo-science.

三维空间数据索引机制研究根据模型的拓扑构建以及分析操作，提出了对应的内存组织与外存结构相统一的复合索引方法，在一定程度上有效地解决了三维矢量数据模型在拓扑构建及各种分析操作中受限于超大数据量的瓶颈问题。

Metric molecular lattices and whose morphism are pointwise quasi-uniform continuous generalized order-homomorphism, which is called the cat.egory of pointwise p.q.

另外，每个由scott开集构成的拓扑也可由这种S－拟一致结构所诱导，恃别地，SCOt.t拓扑可由这种S－拟一致结构所诱导。

However, it can only implement the limited operation to the spatial objects, cannot carry on transformation, index, interlink age and excavation to the spatial data, and hard integrate other information with combining map variable to set up and analysis new variable. Meanwhile, relational model in the traditional DBMS and the object- oriented modeling do not completely suit the spatial application domain. The relational model can handle topological relation well, but shows inabilities to that complicated level crossing the spatial region. Object-oriented model using software method based on the principle of the customer defined data type supports the abstract data type, especially spatial abstract data type, and possesses polymorphism and inheritances, and it can deal with topological and the layer relation, but hardly processes important continuous phenomenon in space.

GIS是当今操作有关空间信息的成熟工具和技术，但其只能对空间对象进行有限的操作，不能对空间数据进行变换、索引、链接和挖掘，难以集成其他信息来构建和分析新变量；而传统数据库管理模型中的关系模型和面向对象建模也不完全适合空间应用这一领域，关系模型能够较好地处理拓扑关系，但对表示横跨空间区域的复杂层次却无能为力；面向对象模型的软件方法支持抽象数据类型，特别是空间抽象数据类型，具有继承性和多态性，能够处理拓扑和层次关系，但难以处理空间中重要的连续性现象。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。