查询词典 dual basis

This paper emploies a collection of discrete and limit topological events which simulates topological changes of Delaunay diagrams,the dual graph of Voronoi diagrams,to realize maintaining Voronoi diagrams of moving points.

通过一组离散的，有限的事件序列对其对偶图Delaunay图拓扑改变过程的模拟来实现对移动点Voronoi图拓扑结构的维护。

Based on the dual relation between flow graph and potential graph,flow graph represent the trusses and potential graph represent the mechanisms,obtained the duality relation between trusses and mechanisms.

基于流图和势图的对偶关系以及基尔霍夫定律，用流图表示桁架，势图表示机构，建立了桁架和机构的对偶关系。

According to the Marr's visual theory, a novel face image presentation model, dual attribute graph , is put forward in the thesis. Each node of the graph has two attributes, local principal component coefficient and Gabor coefficient. So the presentation of face image can be converted from gray level to more high level.

根据Marr的视觉表示理论，本文提出了新的人脸图象表示形式---双属性图表示，属性图中每个节点有两个属性特征，局部主成分系数特征以及Gabor系数特征；从而将人脸图象的灰度级表示，转化为更高一级表示。

However it allows edges or elements to straddle between subdomains. In order to be used in conjunction with element-based Godunov algorithm, the RSB algorithm partitions the dual graph of the computational meshes, e.g.

为了将递归谱对分法与以单元为主的Godunov方法结合使用，本文将该方法用于Delaunay非结构网格的对偶图Voronoi图，然后再根据Voronoi图中的结点与Delaunay网格中的三角形单元之间的一一对应关系，得到Delaunay网格的分区。

Based on the triangulation of the state space of a robot, a dual graph was constructed following the target attractive principle, and then a path planning algorithm was presented to find a sequence of adjacent triangles that were traversed by the shortest path.

对机器人的状态空间进行三角划分，根据目标吸引原理来建立其对偶图，针对对偶图提出路径规划算法得到最短路径穿越的三角形序列。

Firstly,a node-based topology relationship model of transport network is presented,in which the physical connection and the logical connection are described.Secondly,the structure of search node is defined in the sight of dual graph theory as a solution for turn prohibitions and delays in road intersections.

提出了基于节点的交通网络拓扑关系模型，描述交通网络的物理连通性以及逻辑连通性；根据对偶图的思想，定义搜索节点结构，处理交叉口转向限制和延误；改进传统的Dijkstra算法，提出了基于搜索节点的双向启发式A*算法，使用二叉堆优先级队列存储扩展节点，RB-tree存储标记节点。

Then we prove the one-to-one corresponding relation between 3-coloring of inducing four regular graph and 4-coloring of maximal planar graph and find out the relation between three colors of inducing four regular graph and three dual bi-chromatic subgraph of maximal planar graph.

本文给出了极大平面图的导出四正则图的两种构造方式、等价性及性质，证明了导出四正则图的三着色与原极大平面图四着色的一一对应关系，并且找出了导出四正则图的三种颜色与原极大平面图四着色的三组对偶二色子图之间的关系。

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。

Input program fragments of files, the output is the result of the dual Group.

输入程序文件片段，输出结果是二元组的。

Shandong Group is a dual one science, industry and trade in one large-scale modernization of production, senior enterprise groups, covers an area of 102,500 square meters, total assets of 120 million yuan.

山东双一集团是集科、工、贸于一体的大型现代化生产制造资深企业集团，占地面积102500平方米，总资产1.2亿元。

You have to walk your own alk in this life.

次生中你必须走自己的路。

To start with, the thesis analyses ***ism in terms of the generic masculine words, word order and semantic derogation of women in greater detail.

论文首先从阳性词泛指，词序，词义的贬降等方面对英语中的性别歧视现象进行了详细的分析。