查询词典 graph of function

This paper reveals the relationship between the parity of derivative function and the symmetry of the graph function, finding a effective way to judge whether the functional graph can have the axial symmetry or central symmetry.

揭示了函数导数的奇偶性与函数图像对称性的关系，发现了一种可以用来判定函数图像是否具有轴对称性或中心对称性的有效方法。

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。

The graph of an odd function has the general appearance of Fig 4.1b.

一个奇函数的图形一般如图4.1所示。

Then analyses the principle of direct current moment electromotor and builds the mathematical model and gives the block graph of transfer function and studies the PWM control strategy.

然后对直流力矩电机工作原理进行了分析，建立了直流力矩电机的数学模型，给出了直流力矩电机传递函数框图，研究了直流力矩电机的PWM控制方式。

The architecture, information exchange and function modal graph of design reuseing prototype system is expounded. Some strategies of developing system is present. Finally, using autoecious pattern to develop a design reuseing prototype system.

阐述了设计重用系统的总体结构、信息交换情况和系统功能模型图，给出了一些系统的开发策略，采用寄生式软件开发方式开发了一个设计重用原型系统。

Choosing the countdown length of Hamilton for the fitness function, using "evolutionary reversal" technique, we give the best path among 20 cities with MATLAB, and also make graph of the optimal value change with iteration in optimization process.

取哈密尔顿长度的倒数为适应度函数，采用"进化逆转"操作技术，运用MATLAB求解得到20个城市间的最佳路径，并做出了寻优过程中最优值随迭代的变化趋势图。

This paper explained the function and the structure of graph symbolism in details, and proposed the special significance of the culture to the graph mark , it has proven the characteristic that the graph mark and the cultural is paragenesis altogether ,through the concrete socialphenomenon.

本文详细解读了图形符号系统的功能和结构，由此提出了文化之于图形符号的特殊意义，并通过具体的社会现象论证图形符号与文化的共生共融的特性。

A graph of an option's payoff as a function of underlier value at expiration.

期权的回报图，是以标的证券在到期日的价值为函数的。

Preoperatively and postoperatively computed tomographic scanning was performed in every patient. For the CAD treatment group, firstly, the 3D graph of the patient's skull was built based on the CT data using the reconstructing function of Mimics 8.11. Then the 3D file was imported to Geomagic 4.0. The injury lateral was resected and replaced by the mirror of the intact side, so an intact skull was generated at last. Consequently, a model was manufactured in a technical machine. The last step was to prebend the titanium mesh on the model.

CAD/CAM治疗组是利用术前诊断CT，将DICOM格式CT数据输入图像处理软件Mimics8.11，由软件生成颅颌面骨STL格式的三维图像文件，应用另一个图像处理软件Geomagic4.0读取该文件，并应用镜像工具以中线为轴线生成健侧半的镜像，最终得到双侧对称的颅颌面模型，将该图像信息输入快速成型系统，通过逐层树脂堆积，生成树脂头模。

Examples include a Jersey cow, a hamburger, a paper bag, geometric objects such as triangles, arrays of objects such as the dots on a domino, the drawing of a graph of a function, a Venn diagram, and so on.

例子包括泽牛，一个汉堡，一纸袋子、几何对象如三角形，数组的物体例如点多米诺、图纸的功能图，范恩图，等等。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。