此内容可以作为射影几何教学中理论联系实际的典型例题。
This can be considered as a typical example of integrating theory with practice in the projection geometry teaching.
利用射影几何方法在小缺陷码中，NMDS码是链条件码；
17世纪法国数学家笛沙格在射影几何方面的工作具有创造性成就。
Desargues who was a French mathematician in 17th century had made creative achievement in the aspect of projective geometry.
文章利用射影几何方法及配极原理给出二次曲线中点弦存在性定理的证明。
In this paper, the existence theorem of midpoint chord of quadratic curve, as well as its proof, is given via methods of projective geometry and polarity principle.
在射影几何的范畴内，全面地论述了两二次曲线的公有点和公切线的图解问题。
This paper deals with the graphics of the intersections and common tangents of two conics according to projective geometry .
文中利用射影几何中射线比的特殊性质，解决了透视灭点在图板外的透视图画法。
According to the nature of projective scale, it has solved the problem of drawing a cars perspective when perspective vanishing point is out of the drafting board.
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.
系统地研究了来自于射影几何中平面曲线运动的1 + 1维非线性方程的对称代数。
The symmetry algebras of 1 + 1 dimensional nonlinear evolution equation arising from the motion of plane curve in affine geometry are systematically studied.
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.
提出了弱区组设计的概念，并根据仿射几何和射影几何构造了仿射流形码和射影流形码。
The concept of weak block design is proposed in this paper. Based on affine geometry and projective geometry, affine manifold codes and projective manifold codes are constructed.
方法：首先，比较分析编码结构光系统的解析几何模型和射影几何模型，统一了二者的设备参数、姿态和位置参数。
Method: First, device parameters and azimuth parameters of analytic geometry model and projective geometry model of coded structured light system were analyzed and unified.
但理论研究表明，只有特定的几何约束结构，才具有射影不变量。
However, researches show that only some special geometric constrained structures possess projective invariants.
证明：在研究多项式系统的几何性质时，多项式系统应当定义成射影空间中奇点集之余维数至少为2的线场。
This note shows that when studying geometric properties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2.
本文的第二部分首先给出了射影系统的概念并且描述了线性码和射影系统之间的等价性，因而我们就可以用几何语言给出线性码一个新的描述。
In the first, the projective system was given in section two, and the equivalence between linear codes and projective was proofed. So we can use geometric language to describe linear codes.
实验验证了文中提出的几何约束结构具有不随物体成像视点改变的射影不变量。
The experimental results show that the proposed structure has projective invariant which does not change with the variation of the viewpoints.
射影变换在高等几何中是十分重要的。
文中借助于形象思维把齿轮的啮合几何化，提出了一种研究按滚切法工作的切齿刀具的方法，从节曲面到齿曲面的射影变换。
In this paper we propose a method of projective transformation from pitch surface to cutter surface for studying face mill cutters.
中学生在进行几何体射影时首先要把握几何体的大范围拓扑性质，然后才是物体的局部性质或组成部分。
Middle school students would perceive the global-first topological invariance of the solid figure when they make the projection, and then the local property or components.
在获得正确的射影深度后，通过奇异值分解将测量矩阵分解为射影空间下的摄像机运动和物体三维几何形状(射影重构)。
After obtaining correct projective depths, we decompose the measurement matrix into camera motion in projective space and projective reconstruction by SVD.
实验结果证实采用文中的成像模型和几何校正流程，可获得正确、高精度地理编码的线阵摆扫CCD正射影像。
Tests prove the imaging model and the rectification flow proposed in the paper is correct for obtaining high accurate linear whiskbroom CCD orthoimagery.
实验结果证实采用文中的成像模型和几何校正流程，可获得正确、高精度地理编码的线阵摆扫CCD正射影像。
Tests prove the imaging model and the rectification flow proposed in the paper is correct for obtaining high accurate linear whiskbroom CCD orthoimagery.
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