交比

比斜法有理样条插值有理二次B样条曲线的交比性质

The cross ratio of rational quadratic b - spline curves

关于Clifford交比及其应用

On Clifford Cross-Ration and Its Application

深入分析了2D对称性目标透视成像的几何特点，将共点四线交比用于目标轮廓上的关键点的特性描述中；

The geometric characteristics of 2D symmetric objects ' in perspective images are lucubrated . The cross ratio of four lines is applied to describe feature points on object silhouette .

一些评论家认为比赛communally网上大量的人将会变得更加喜欢社交比的游戏。

Some commentators believe that games played communally online by large numbers of people will become more like social-networking than game-playing .

交比投影不变原理在结构光平面拟合中的应用

The principle of cross-ratio and its application in fitting structured light planes

基于交比不变性的空间平面参数算法

Algorithm of space plane parameters based on cross ratio invariance

线束中四直线交比定义的讨论

The Definitions of Cross Ratio of Four Lines in a Line Pencil

他把交比叫作非调和比。

The cross ratio he called anharmonic ratio .

相互作用系统的交比不变性

The cross ratio invariance of interaction system

在已知一个消隐点的情况下，利用交比不变性及消隐点的知识对摄像机进行标定。

A linear camera calibration method with vanishing point and the invariance of cross-ratio is proposed .

本论文主要内容是基于交比不变量的单目视觉坐标测量方法。

The monocular vision inspection methods based on cross-ratio invariants are mainly studied in this thesis .

基于射影变换的交比不变性理论提出了一种摄像机标定的新方法。

A new method for camera calibration is proposed based on the cross-ratio invariance theory in projective transformation .

列举一个应用实例，利用交比的不变性确定空间平面参数。

An application example is enumerated that the space plane parameters are confirmed based on invariance of cross radio .

根据透视投影的交比不变性解算一阶径向畸变参数；

In the second stage , the one order radial distortion parameter is computed by using cross ratio invariability .

利用交比不变性设计了一种结构简单的新型人工路标，这种路标对各种视角及变光照条件下的检测具有很高的鲁棒性。

According to the cross-ratio invariance , a new well-simplified artificial landmark pattern is designed to provide very high robustness .

本文提出一种利用单个透视投影识别空间多边形的方法.空间多边形的识别依据于在透视投影下的基本不变量：交比。

An approach to planar polygon recognition from single 2D perspective projections using the basic viewpoint invariant called Cross-Ratio is presented .

单视图测量理论主要是利用了射影几何中的交比不变性来计算图像上点的三维坐标。

Single view metrology compute the 3D coordinate of a point based on the projective geometry 's characteristic of cross-ratio invariability .

在交比不变原理基础上，提出了基于共面靶标的线结构光标定方法。

A new calibration method of structured light system using a coplanar object is proposed based on invariance of cross ratio .

根据射影几何学中几何不变量的相关理论，本文利用共面五点交比不变特性实现平面非编码标记点的匹配。

Based on the theory in projective geometry geometric invariants , by which the non-coding marker point-plane matching can be realized .

线束交比的几何意义和三角形面积比方法

Crisscross Ratio of Straight Line and Bind 's Geometric Significance and the Method of the Ratio between Triangle and Its Area

在分析焊缝的特征后，从广义拐点不变量和交比不变原理入手，提出了基于线状特征的焊缝匹配方法。

Articles proposed a line characteristics matching method which was based on a broad inflection point invariants principle and same cross-ratio principle .

交比和无穷远元素是射影几何中的两个重要概念，它们是探讨图形射影性质的主要工具。

Cross ratio and element at infinity are two important concepts with projective geometry and primary tools in considerate projective property of figures .

提取水印流程中，遍历嵌入水印后的三维模型的所有顶点并计算其相对应的交比。

In order to extract a watermark , we traverse all the vertices in a watermarked 3D model , computing length ratios accordingly .

并提出一种参数分离的方法对传感器进行了标定，采用消隐线法标定激光平面的法矢量，利用交比不变原理标定激光平面的基线长度。

A Vanishing Line method is proposed to calibrate the normal vector of light plane and invariability of cross-ratio is proposed to calibrate the baseline length .

同时在利用交比作为不变量进行特征点的匹配，会出现误匹配现象，即实际上并不匹配的点交比值却相等。

There will be the case that the points do not match but they have the same cross ratio when calculated the invariants using the cross ratio .

同时利用交比不变性原理获取平面靶标上的特征点坐标，完成了结构光平面参数的标定。

At the same time the feature point coordinates on the planar target were achieved with cross ratio invariability theory , then structured light parameters was calibrated .

基于交比不变性原理和一维靶标点共线的特点，提出了一种多视觉传感器全局校准方法。

Based on the invariance of cross-ratio and the collinear property of all points for one dimensional target , a global calibration method of multi-vision sensor system is proposed .

在对编码投影光平面的标定过程中，提出利用代数射影几何中的交比不变原理对其进行标定的方案，并论述了标定原理。

In the calibration of the system , a plan based on the principle of cross ratio invariance in algebraic projective geometry was used to calibrate the coded light planes .

给定一个输入（原始三维模型），水印序列被嵌入到凸共面四边形的对角线交点分线段比（交比）上。

Given a 3D model , a watermark is embedded as length ratios of one diagonal segment to the residing diagonal intersected by the other one in a coplanar convex quadrilateral .

交比不变获取标定点的不确定性分析在分析目前的畸变参数标定方法优缺点的基础上，提出了一种能克服现有技术缺点的简单快速的镜头畸变参数标定方法。

Uncertainty Analysis of Constructing Calibration Points Based on Invariance of Cross Ratio A new approach for lens distortion calibration is presented , which utilizes the cross ratio invariability of perspective projection .