坐标几何

坐标几何V：实度量平面（续）

Coordinate geometry V : Real metric planes ( cont. )

坐标几何V：实度量平面

Coordinate Geometry V : Real Metric Planes

笛卡尔（Descartes）躺在床上看天花板上的苍蝇，领悟坐标几何原理；

To Descartes it took place in bed while watching flies on his ceiling .

由于种种原因，使坐标几何的主要思想没有被数学家热情地接受并利用。

The main idea of coordinate geometry was not eagerly seized upon by mathematicians for many reasons .

坐标几何Ⅵ：复平面，实复平面及其实子空间，实平面的复化

Coordinate Geometry ⅵ: Complex Planes , Real - complex Planes and their Real Subspaces , the Complexification of Real Planes

高维重心坐标的几何意义性能价格比高。

GEOMETRIC MEANING OF HIGER-DIMENSIONAL BARYCENTRIC COORDINATES high performance / cost ratio .

机器人足球中关键目标坐标的几何变换

Geometric Transformation of the Key Target Coordinates of Robot Soccer

数字化坐标的几何条件和插值

Geometrical Condition and Interpolation of Digitizing Coordinates

通过具体的检测实例，分析了三坐标检测几何公差的一些技巧及正确的检测方法对产品质量保证的意义。

Based on measuring examples , the importance of key technology and correct measuring method of three-coordinate measuring geometric tolerance on product quality assurance was analyzed .

对四度时空坐标的几何图像给以量化的描述，将洛伦兹变换与坐标的旋转对应起来。

A graphic image of a frame of four dimensional time space is described quantitatively and a rotation of the frame is paralleled with Lorentz transformation .

探讨了三坐标测量几何元素（平面、圆、圆柱、斜面）时应注意的几个问题以及如何正确评价各种元素之间的距离关系。

The paper discussed several problems should be paid attention to in the three - coordinate measuring geometry element as plane , circle , cylinder , bevel , as well as how to correctly determine the distance among various elements .

三坐标NC加工几何验证算法的研究与实现

Study on Geometry Validity Algorithm of 3D NC Machining

由于坐标测量机几何误差变化规律复杂，采用一般的BP神经网络模型算法，速度慢且难以收敛。

Owing to the complicated variable rule of CMMs geometry error , it 's difficult to convergence for using common BP neural network model arithmetic with a slow velocity .

用Renishaw检查规进行三坐标测量机几何误差检测的研究

Measurement of Geometric Errors of CMM with Renishaw Checking Gauge

用CCD光电传感器获取图像，通过图像识别确定圆心坐标，按几何关系计算出孔系空间夹角，可将三维测量简化为二维测量。

Three-dimensional measurement can be simplified to planar measurement through a series of steps : firstly , acquire the image by CCD photoelectronic sensors ; then recognize the centre of a circle by image processing and calculate the space included angle for the relative position of hole series .

重心坐标在立体几何中的应用

Applicafion of the Coordinate of Center of Gravity in Solid Geometry

坐标测量机几何要素通用构造原理研究

Study on the General Construction Principle of Geometrical Elements on CMMs

虚拟环境下并联坐标测量机几何建模与运动仿真

Modeling and simulation for a parallel-link coordinate measuring machine in virtual environment

齐次坐标在结构几何组成分析中的应用

Application of homogeneous coordinates in geometrical compositive analysis of structures

基于神经网络的坐标测量机几何误差模型研究

A Study of Coordinate Measuring Machine Geometry Error Model Based on Neural Network

进气道物面贴体坐标生成的几何自适应控制方法

The Geometric Self-Adaptive Controlling Method for the Boundary-Fitted Coordinate in Surface of Inlet

分析了坐标测量机几何误差的几种常用模型，提出了基于神经网络的单项几何误差模型。

Several coordinate measuring machine geometry error models of several kinds in common use are analyzed in this paper .

利用3个控制点与其像坐标间的几何关系求得3个控制点在摄站坐标系下的坐标；

Firstly , the coordinates of three control points in photogrammetric coordinates system are calculated by three control points and their photogrammetric coordinates .

为了保证检测精度，必须研究栅线节距的修正以及坐标系统及几何参数的标定问题。

The methods of grating pitch correction and the coordinate system scaling are proposed in the paper to increase the accuracy of the system .

本文对三维坐标系中几何变换，纹理映射，光照和动画技术进行研究，将其应用到心脏模型的功能实现中，并解决了在实现过程中所遇到的难题。

Techniques about geometric transformation in three-dimensional coordinate system , texture mapping , lighting and animation was researched and applied to realize the function of heart model .

基于位形空间的拓扑几何性质提出一种坐标无关的几何分类方法。

Based on the topological and geometric properties of configuration spaces , this dissertation proposes a fine classification of singularities of parallel robots , which is coordinate-independent .

论文首先介绍了与本论文工作相关的多视图几何的一些基本理论，如齐次坐标，射影几何，摄像机针孔模型，两视图几何等；

The main contents are follows : In this thesis , we first introduce some basic theories of multiple view geometry , such as homogeneous coordinates , projective geometry , pinhole camera model , two-view geometry etc.

就线状要素而言，单从角度、距离、矢高等几何特征出发设计的曲线化简算法只能算作对曲线坐标串的几何压缩，不是真正意义上的地图综合。

As for line feature , simplification operators designed only from the viewpoint of angle , distance and vector characteristics are not true map generalization but geometrical compression , because it does not involve geographical properties contained in line .

首次提出虚拟基坐标系机器人几何参数标定方法，不仅测量速度快，而且准确度高。

For the first time the method of virtual base coordinate system , which belongs to robot geometric parameter calibration method , is presented . This method not only realizes fast detection , but has high accuracy . 5 .

本文在文献[3]的基础上，在σ2-σr坐标系中用几何法定量比较了Tresca和Mises与双剪应力屈服理论。

Based on document , the yield criteria of the Tresca , Mises and Two shearing stress were compared by using geometric method .