几何的

After briefly reviewing the classification and history of curve and surface modeling, we discuss the characters, applications and representative work on three types of geometric approximation. And we present a survey of the vertex correspondence problem and the vertex interpolation problem in 2D and 3D shape blending modeling and key frame animation.

作者简要回顾了曲线曲面造型的分类和发展历史，论述了曲线曲面造型中所遇到的三类几何逼近问题的特点、应用和代表性工作，并就用于二维和三维形状混合造型的几何插值方法从顶点对应和顶点插值两方面做了一个系统的综述。

The minimal surface have been extensively employed in many areas such as architecture, material science, aviation, ship manufacture, biology and crystallogeny and so on. In this paper we have some element works on minimal surface from the point view of CAGD It is well-known that there does not exist any other quadratic minimal surface except for the plane.

以肥皂膜问题为物理背景的极小曲面问题或者Plateau问题—寻找以给定空间曲线为边界的面积极小的曲面，从18世纪提出到现在一直是微分几何和偏微分方程理论的重要课题，微分几何领域已经有了极其丰富的极小曲面理论。

The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to he known.

采用非线性有限元法进行了膜结构的形态分析和荷载分析，得到了曲面有限元网格；通过离散微分几何方法，研究了薄膜结构曲面的几何性质，包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量，避免了复杂的曲面拟合过程。

Geometrically nonlinear strain-displacement relations, the total potential functions and equilibrium equations of the tires are derived with respect to the orthogonal curvilinear coordinates for details.

以轮胎的内轮廓曲面为参考面，用正交曲线坐标描述轮胎的几何变形，详细推导了正交曲线坐标系下轮胎的几何非线性的应变—位移公式和平衡微分方程。

The Computer Aided Method on Descriptive Geometry can integrate the advantages of the two above,provides new technology in teaching descriptive geometry and drawing training.

一种意见认为，画法几何对提高学生的空间想象能力和逻辑思维能力有明显的优势，因此，应该坚持传统的画法几何教学，以培养学生的图形识别能力和表达能力。

The present teaching situations of descriptive geometry and architectural drawing and challenges it confronts are briefly introduced,so that the necessity to carry out curriculum reform is discussed.

简要介绍了《画法几何及建筑制图》课程的现状和面临的挑战，论述了课程改革的必要性，并从课程内容、教学方法及教学手段、考核方式等方面论述了《画法几何及建筑制图》课程可行的教学改革方案，以提高教学质量。

Firstly, we introduce the technology of seismic geometric attribute for fault identification detailedly at home and abroad. Secondly we study the coherence, texture,curvature attribute and tricolor display technology of RGB to identify fault; In the part of coherence,we compare the traditional algorithms with model and actual data,mainly study the geometric structural tensor and wavelet multi-scale sub-frequency coherent algorithm; In the part of texture attribute, we introduce texture energy, texture contrast, texture entropy and texture homogeneity attribute.By merging texture attributes of different directions,the effect are more clear; In the part of curvature attribute,we study and analyze fractional-order curvature attribute's extraction and its application in fault identification; The RGB display technology mainly introduces how to merge multi-attributes in order to getting more richer and more clearer information.

首先具体先容了地震几何属性识别断层技术的国内外研究现状；然后分别研究了相干属性、纹理属性、曲率属性和RGB三原色显示技术来识别断层；其中相干属性通过模型和实际资料对传统相干体算法进行了对比，重点研究了几何结构张量相干体算法和小波多标准分频相干体算法；纹理属性主要先容了纹理能量、纹理对比、纹理熵和纹理一致性属性，通过对不同方向的纹理属性进行融合，效果更清楚；曲率属性重点分析了分波数曲率属性提取及其在断层识别中的应用；RGB三原色显示技术则主要先容了如何进行多属性融合来或得更丰富、清楚的信息，在此基础上开发了基于。

Constructing geometric model of analyzed object is the first step of mesh generation, in this research subject, we mainly analyze the medical encephalon CT picture ,so we select digital instrument to extract border characteristic points from encephalon CT picture and create the analyzed object geometric model.

进行网格剖分首先要建立分析对象的几何模型，鉴于本文的分析对象是医学脑CT扫描图像，为此采用数字化仪从脑CT扫描图像中提取边界特征点，以此形成分析模型的边界轮廓，从而建立分析模型的几何模型。

The way of working out the problem of taking two line segments as the root of an equation is to link up monodic quadratic equation directly with geometry and establish the connection between them.

以两线段长为一元二次方程的根的问题的解法，是把一元二次方程与几何问题直接挂钩，沟通了几何与二次方程之间的联系。

The way of working out the problem of taking two l segments as the root of an equation is to link up monodic quadratic equation directly with geometry and establish the connection between them.

以两线段长为一元二次方程的根的问题的解法，是把一元二次方程与几何问题直接挂钩，沟通了几何与二次方程之间的联系。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。