| 1. | We shall interrupt the history of projective geometry .
我们要把射影几何的历史断开。 |
| 2. | Hermann kankel did not hesitate to say in 1896 that projective geometry is the royal road to all mathematics .
HermannKankel在1896年毫不犹疑地说，射影几何是走向所有数学的康庄大道。 |
| 3. | Several ways about projective geometry teaching
关于射影几何教学的几点探讨 |
| 4. | Hermann kankel did not hesitate to say in 1896 that projective geometry is the royal road to all mathematics
Hermann kankel在1896年毫不犹疑地说，射影几何是走向所有数学的康庄大道。 |
| 5. | Developed from the theory of projective geometry , this paper made a detailed research on the basic theory of the image - based plane measurement technique
从射影几何理论出发，论文详细研究了基于图像的平面测量的基本原理。 |
| 6. | This paper is based on the projective geometry of computer vision and mainly made the research on the image - based distance measurement problems . the main research achievements are shown as the following : 1
本论文从计算机视觉中的射影几何理论出发，围绕基于图像的距离测量问题展开研究，主要的研究内容和成果如下： 1 |
| 7. | At the beginning , the basic theory of plane measurement ? some basic elements in planar projective geometry , including 2d protective plane , homogeneous coordinates and homography are introduced . the pinhole camera model and the basic algorithm of image measurement are discussed
首先介绍了平面测量问题的理论基础? ?平面射影几何的一些基本元素：射影平面，齐次坐标，平面单应等，接着讨论了摄象机针孔模型以及基于图象的平面测量基本原理。 |
| 8. | ( 1 ) state the appearance of block design and it ' s resolution . ( 2 ) formulate the history of ols ( orthogonal latin squares ) and show the role that euler ' s conjecture and macneish ' s conjecture on ols played in the progress of study on latin square . ( 3 ) state briefly the motivation that finite projective plan and finite field offer to the development of combinatorial design
( 1 )详述了18世纪中期提出的区组设计问题以及这些问题出现的多种形式及解决方法； ( 2 )对组合设计中正交拉丁方的历史予以阐述，分析了拉丁方问题的研究中欧拉猜想和麦克奈希猜想的作用； ( 3 )简述了有限射影几何及有限域在组合设计中的意义及其对组合设计理论发展的推动作用。 |
| 9. | By taking advantage of parallel lines and orthogonal lines in architecture , the camera internal parameters , rotation and translation can be recovered from a set of un - calibrated images via computing absolute conic and vanishing points . the euclidean 3d model of architecture ( up to a scale factor ) can be recovered too
利用建筑物中常见的平行直线和正交直线等特点，通过绝对二次曲线和消影点等射影几何量的计算，可以从图象中恢复摄像机的内参数、旋转和平移位置，同时恢复建筑物的三维欧氏几何模型（相差一个尺度因子） 。 |
| 10. | As long as teacher the ability is basic to control the ability of use the calculator , training slightly more can from such as of made use of them to press own will to manufacture the small software , own teaching process of close match , carry out the calculator extended education , have a terrace that useds for several teachings to be called " several drawing board " to suit to used for the plane geometry , analytic geometry and project image now several how teaching in usage , also can used for the mechanics , several optics within the physics teaching to combine with the mathematics model , several pictures closely parts of courses
只要教师能基本掌握使用计算机的能力，稍加培训就能够自如的运用它们来按自己的意愿制作小软件，紧密配合自己的教学过程，实现计算机辅助教学，现在有一个用于几何教学的平台叫作“几何画板”它适合用于平面几何、解析几何、射影几何等教学中使用，同时也能用于物理教学中的力学、几何光学与数学模型、几何图像结合密切的部分课程。 |
