表示特性地

The temporal constraint network is a kind of directed acyclic graph,and could well represent temporal logics.

在人工智能研究领域发展起来的时序约束网络是一种能够清晰而直观地表示时序逻辑的有向无环图，适于解决计及警报信息时序特性的警报处理问题。

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。

First, each shape is represented by the eigenvectors of an appropriately defined affinity matrix based on approximated geodesic distance, forming a spectral embedding which achieves normalization against rigid-body transformations, uniform scaling, and shape articulation (i.e., pose changing). This procedure is called the pose-oblivious transform.

首先，针对每一个形状都基于谱嵌入的方法求得其相应的谱嵌入表示，这里的谱嵌入是基于以近似测地距离为基础构造出的仿射矩阵的特征向量得到的，这一过程称为姿态无关变换，经过这一变换，模型的形状的描述符就具备了刚体变换不变、均匀缩放不变和姿态无关的特性。

This paper presents a layered polynomial texture to represent grass based on its complex geometric structure and diffuses material.

根据草的几何结构复杂性和材质的漫反射特性，提出层次多项式纹理(layered polynomial texture，简称LPT)来表示草，可以高效真实地实现这个目标。

At the same time, under the condition of small strain, firstly, the secant shear modulus was always larger than the tangent shear modulus. Secondly, when the logarithmic coordinates were applied to describe shear strain, the decrease of shear modulus with shear strain could be expressed by reversed S shape curve with two inflexion points, and through analyzing and validating, the deduced equation could perfectly reflect this characteristic. Finally, different stress paths and strain areas would lead to different attenuation trends.

而且，在小应变范围内，割线剪切模量总是大于切线剪切模量；当剪切应变采用对数坐标表示时，剪切模量随着剪切应变的增加而衰减，且衰减的规律都可以表示为带有两个拐点的反S型曲线，经分析验证本文所得公式3可以对此特性进行很好地反映；但应力路径、应变范围不同其衰减幅度不同。

Because of the possibility characteristics of images, the planar normal distribution function was adopted to present the pertinence of pixels accurately and reasonably.

考虑到图像的概率特性，通过引入二维正态分布函数，准确合理地表示图像像素间的相关性。

Grey models of two steps can show the periodic law of load data or the exponential law well, Models of three steps can give consideration to two kinds of characteristics of the load data, Thus these models could consider the nature of the load data in an all-round way.

二阶灰色模型能够较好地表示负荷数据周期性规律或指数性规律，而三阶模型则能够兼顾负荷数据的周期、指数双重特性，从而能够全面地考虑到负荷数据本身的性质。

Last, this paper introduced some concepts of multiscale geometrical analysis and curvelet transform theory. Because curvelet can showed this feature more 'sparsely' in the function included singular curve or singular side in two dimension space or multi-dimension space. This paper provided a robust digital watermarking technology algorithm based on curvelet transform. watermarking information was embedded into coarse scale coefficients after curvelet transforming, choose right embedding strength. Testing proved it has good invisibility and robustness.

最后，介绍了多尺度几何分析和曲波变换理论的相关概念，鉴于曲波能对二维乃至高维空间中含奇异曲线或者曲面的函数进行更"稀疏"地表示这一特性，本章提出了一种基于Curvelet变换的鲁棒数字图像水印算法，该算法将水印信息嵌入到经曲波变换后的图像的粗尺度系数中，合理选择的嵌入强度，试验表明该算法具有较好的隐蔽性和鲁棒性。

The transform has the characteristics of multiscale geometric analysis of both Bandelet and Contourlet transforms, and it represents the edges and texture features more sparsely.

该变换兼有Bandelet变换和Contourlet变换的多尺度几何分析特性，能更稀疏地表示边缘和纹理特征。

The Signal can analyze the credibility,safety and boundness of hybrid systems with the clocks consequence.It can not only intuitively show all kinds of variables in the restrictive relation,but also obtains the temporal characteristic of a system using a homomorphism.

Signal语言是一种同步语言，它通过时钟推理机制来反映复杂系统的确定性、安全性、有界性等问题，能够直观地表示系统元素之间的约束关系及特性，通过构造同步实时评估模型来反映系统的实时性。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷